CN114429231A - Shale gas well yield prediction method and system, storage medium and electronic equipment - Google Patents
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Abstract
本发明公开了一种页岩气井产量预测方法、系统、存储介质以及电子设备,涉及油气勘探技术领域,该方法通过将页岩气井的裂缝进行分段,并构建每一段的早期非稳态流动阶段产量预测模型以及晚期拟稳态流动阶段产量递减模型来对每一段的裂缝的产量进行预测。该预测方法可以很好的解决现有的页岩气井产能评价方法在气井生产早期难以应用、难以考虑复杂裂缝形态以及没有针对性的问题。从页岩气井的早期、晚期产量递减规律入手,综合页岩气渗流机理、生产数据特征线分析技术、高压物性分析技术,确定了气井早期、晚期阶段产量递减模式。之后再考虑复杂裂缝形态,对气井晚期产量递减模式进行修正。在此基础上开展气井产量递减分析,可以对复杂缝网气井进行快速准确的产能预测。
The invention discloses a production prediction method, system, storage medium and electronic equipment of shale gas wells, and relates to the technical field of oil and gas exploration. The stage production prediction model and the late quasi-steady-state flow stage production decline model are used to predict the production of each stage of the fracture. The prediction method can well solve the problems that the existing shale gas well productivity evaluation methods are difficult to apply in the early stage of gas well production, difficult to consider complex fracture morphology and lack of pertinence. Starting from the law of early and late production decline of shale gas wells, shale gas seepage mechanism, production data characteristic line analysis technology, and high-pressure physical property analysis technology are combined to determine the early and late stage production decline patterns of gas wells. Then, the complex fracture morphology is considered to correct the late production decline pattern of gas wells. On this basis, the production decline analysis of gas wells can be carried out to quickly and accurately predict the production capacity of gas wells with complex fracture patterns.
Description
技术领域technical field
本发明属于油气勘探技术领域,尤其涉及一种页岩气井产量预测方法、系统、 存储介质以及电子设备。The invention belongs to the technical field of oil and gas exploration, and in particular relates to a production prediction method, system, storage medium and electronic equipment for shale gas wells.
背景技术Background technique
我国页岩气资源丰富,勘探开发潜力巨大,准确预测页岩气压裂水平井产能 (尤其是气田开发早期阶段)是评价气田开发潜力、确定合理的开发技术政策的 前提。my country is rich in shale gas resources and has huge potential for exploration and development. Accurately predicting the productivity of shale gas fracturing horizontal wells (especially in the early stage of gas field development) is the premise for evaluating the development potential of gas fields and determining reasonable development technology policies.
页岩储层是超低孔、超低渗的致密多孔介质,多尺度效应明显、气体赋存方 式多样,气体的产出受多重机制综合作用,生产过程中储层流体渗流规律复杂, 产能预测难度大。另外,井型及完井方式的复杂性也在很大程度上加剧了页岩气 井产能预测的难度。页岩气藏需要通过水平井分段压裂技术才可实现经济有效开 发,但目前一些裂缝监测技术(微地震监测、放射性或化学示综剂监测)以及压 后评估结果均证实气井压裂过程产生的多是非均匀的(如长度不等、间距不同、 部分无效)的裂缝系统,由于在页岩气藏中裂缝系统覆盖范围对气井产能起着决 定性作用,因此不规则的裂缝系统加剧了页岩气井产能预测的难度。Shale reservoirs are dense porous media with ultra-low porosity and ultra-low permeability, with obvious multi-scale effects and various gas occurrence modes. Gas production is affected by multiple mechanisms. The fluid seepage law in the production process is complex, and the production capacity is predicted. High difficulty. In addition, the complexity of well types and completion methods also greatly exacerbates the difficulty of predicting the productivity of shale gas wells. Shale gas reservoirs need horizontal well staged fracturing technology to achieve economical and effective development. However, some current fracture monitoring technologies (microseismic monitoring, radiological or chemical monitoring agent monitoring) and post-fracturing evaluation results have confirmed the fracturing process of gas wells. Most of the generated fracture systems are non-uniform (such as unequal lengths, different spacings, and partially ineffective) fracture systems. Since the coverage of fracture systems in shale gas reservoirs plays a decisive role in gas well productivity, irregular fracture systems exacerbate shale formation. The difficulty of predicting the productivity of rock gas wells.
因此,页岩气井产能预测亟需解决的问题是发展一个流程化的方法准确分析 气井产量变化规律,同时尽可能的兼顾储层流体流动特征的复杂性及完井造成的 裂缝形态的非均匀性。Therefore, the urgent problem to be solved in the prediction of shale gas well productivity is to develop a flow-based method to accurately analyze the variation law of gas well production, while taking into account the complexity of reservoir fluid flow characteristics and the heterogeneity of fracture morphology caused by well completion as much as possible .
发明内容SUMMARY OF THE INVENTION
本发明正是基于上述技术问题,提出了一种页岩气井产量预测方法、系统、 存储介质以及电子设备。Based on the above technical problems, the present invention proposes a production prediction method, system, storage medium and electronic device for shale gas wells.
第一方面,本发明实施例提供了一种页岩气井产量预测方法,包括:In a first aspect, an embodiment of the present invention provides a method for predicting production of a shale gas well, including:
确定页岩气井的裂缝展布模式中各条裂缝的干扰段长度以及相邻干扰段之 间的干扰距离;其中,所述干扰段为两条裂缝之间不被其它裂缝遮挡的裂缝段;Determine the length of the interference section of each fracture in the fracture distribution pattern of the shale gas well and the interference distance between adjacent interference sections; wherein, the interference section is a fracture section between two fractures that is not blocked by other fractures;
确定均匀压裂条件下所述页岩气井由早期非稳态流动阶段向晚期拟稳态流 动阶段演变时的平均地层压力;Determine the average formation pressure when the shale gas well evolves from the early unsteady flow stage to the late quasi-steady flow stage under the condition of uniform fracturing;
根据所述平均地层压力,确定该平均地层压力对应的拟时间修正系数,并根 据所述拟时间修正系数,确定每一个干扰距离对应的干扰段的干扰时间;According to the average formation pressure, determine the pseudo-time correction coefficient corresponding to the average formation pressure, and determine the interference time of the interference section corresponding to each interference distance according to the pseudo-time correction coefficient;
基于所述干扰时间,确定每一个干扰时间对应的干扰段在晚期拟稳态流动阶 段开始时的递减率;Based on the disturbance time, determine the decrement rate of the disturbance segment corresponding to each disturbance time at the beginning of the late quasi-steady-state flow phase;
将具有相同干扰距离的干扰段长度进行累加,得到每一个干扰距离对应的累 加干扰段长度,并确定每一个所述累加干扰段长度与所述页岩气井的裂缝总长度 的比值,基于所述比值,确定每一个所述累加干扰段长度对应的所述页岩气井在 晚期拟稳态流动阶段开始时的初始产量;Accumulate the lengths of the interference sections with the same interference distance to obtain the cumulative interference section length corresponding to each interference distance, and determine the ratio of the length of each cumulative interference section to the total length of the fractures of the shale gas well, based on the Ratio, to determine the initial production of the shale gas well at the beginning of the late quasi-steady-state flow stage corresponding to the length of each cumulative interference section;
根据所述平均地层压力以及所述页岩气井设定的井底流压,确定每一个所述 干扰段在所述页岩气井处于晚期拟稳态流动阶段时的递减指数;According to the average formation pressure and the bottom-hole flow pressure set by the shale gas well, determine the decline index of each of the interference sections when the shale gas well is in a late quasi-steady-state flow stage;
基于各个干扰段对应的干扰时间、递减率、初始产量以及递减指数,利用双 曲递减模型,构建各个干扰段对应的晚期拟稳态流动阶段产量递减模型;Based on the disturbance time, decline rate, initial production and decline index corresponding to each disturbance segment, the hyperbolic decline model is used to construct the production decline model of the late quasi-steady-state flow stage corresponding to each disturbance segment;
利用各个干扰段对应的晚期拟稳态流动阶段产量递减模型分别对所述页岩 气井的各个干扰段的晚期拟稳态流动阶段的产量进行预测。The production decline model of the late quasi-steady-state flow stage corresponding to each disturbance section is used to predict the production of the shale gas well in the late quasi-steady-state flow stage of each interference section.
可选地,所述晚期拟稳态流动阶段产量递减模型为:Optionally, the output decline model in the late quasi-steady-state flow stage is:
其中,qlate(j)为第j个干扰段在晚期拟稳态流动阶段时的产量,bpsd为递减指 数,qc(j)为第j个累加干扰段长度对应的初始产量,Dc(j)为第j个干扰段的递减 率,Tc(j)为第j个干扰段对应的干扰时间,t为时间。Among them, q late (j) is the output of the jth disturbance segment in the late quasi-steady flow stage, b psd is the decrement index, q c (j) is the initial output corresponding to the length of the jth cumulative disturbance segment, D c (j) is the decrement rate of the j-th interference segment, T c (j) is the interference time corresponding to the j-th interference segment, and t is the time.
可选地,所述方法还包括:Optionally, the method further includes:
确定所述页岩气井的早期非稳态流动阶段产量递减模型;determining a production decline model for the early unsteady flow phase of the shale gas well;
基于每一个所述累加干扰段长度与所述页岩气井的裂缝总长度的比值,利用 所述早期非稳态流动阶段产量递减模型,构建各个干扰段对应的早期非稳态流动 阶段产量预测模型;其中,各个干扰段对应的早期非稳态流动阶段产量预测模型 用于对所述页岩气井的各个干扰段处于早期非稳态流动阶段时的产量进行预测。Based on the ratio of the length of each cumulative disturbance section to the total length of the fractures in the shale gas well, and using the production decline model in the early unsteady flow stage, a production prediction model in the early unsteady flow stage corresponding to each disturbance section is constructed ; wherein, the output prediction model of the early unsteady flow stage corresponding to each disturbance section is used to predict the output of each disturbance section of the shale gas well when it is in the early unsteady flow stage.
可选地,所述早期非稳态流动阶段产量递减模型为:Optionally, the output decline model in the early unsteady flow stage is:
其中,qear为早期非稳态流动阶段的页岩气井产量,t为时间,a、b为常数; 其中,a、b为对根据所述页岩气井的生产动态数据绘制的1/q与的关系曲线进 行散点拟合得到的斜率和截距;其中,q为日产量。Among them, q ear is the output of the shale gas well in the early unsteady flow stage, t is the time, and a and b are constants; wherein, a and b are the 1/q and The slope and intercept of the relationship curve obtained by scatter fitting; where q is the daily output.
可选地,所述各个干扰段对应的早期非稳态流动阶段产量预测模型为:Optionally, the output prediction model of the early unsteady flow stage corresponding to each disturbance segment is:
其中,qear(j)为第j个干扰段在早期非稳态流动阶段时的产量,Ra(j)为第j 个累加干扰段长度与所述页岩气井的裂缝总长度的比值。Among them, q ear (j) is the production of the j-th disturbance section in the early unsteady flow stage, and R a (j) is the ratio of the length of the j-th cumulative disturbance section to the total fracture length of the shale gas well.
可选地,所述方法还包括:Optionally, the method further includes:
基于各个干扰段对应的晚期拟稳态流动阶段产量递减模型以及早期非稳态 流动阶段产量预测模型,结合各个干扰段对应的干扰时间,构建各个干扰段对应 的全阶段产量递减模型;Based on the late quasi-steady-state flow stage production decline model and the early unsteady flow stage production prediction model corresponding to each disturbance segment, combined with the disturbance time corresponding to each disturbance segment, a full-stage production decline model corresponding to each disturbance segment was constructed;
将各个干扰段的全阶段产量递减模型进行叠加,得到所述页岩气井的总产量 预测模型。The full-stage production decline models of each interference section are superimposed to obtain the total production prediction model of the shale gas well.
可选地,所述全阶段产量递减模型为:Optionally, the full-stage production decline model is:
其中,q(j)为第j个干扰段的全阶段产量;Among them, q(j) is the full-stage output of the j-th disturbance segment;
所述总产量预测模型为:The total output prediction model is:
其中,qa为所述页岩气井的日产量,n为干扰段的数量。Wherein, q a is the daily output of the shale gas well, and n is the number of interference sections.
可选地,所述确定均匀压裂条件下所述页岩气井由早期非稳态流动阶段向晚 期拟稳态流动阶段演变时的平均地层压力,包括:Optionally, determining the average formation pressure when the shale gas well evolves from an early unsteady flow stage to a late pseudo-steady flow stage under uniform fracturing conditions, including:
S10,基于所述页岩气井的地质参数以及流体物性参数,构建平均地层压力 迭代方程;其中,所述平均地层压力迭代方程为:S10, based on the geological parameters and fluid physical property parameters of the shale gas well, construct an iterative equation of average formation pressure; wherein, the iterative equation of average formation pressure is:
其中,p为平均地层压力,pi为原始地层压力,zi为原始状态下的气体压缩因 子,cti为原始地层压力下的综合压缩系数,μi为原始状态下的气体粘度,m(pi)为 原始地层压力对应的拟压力,pwf为井底流压,m(pwf)为井底流压对应的拟压力, (ctλ)i为所述页岩气井在原始状态下的综合压缩系数与气体黏度 的乘积,(ctμ)c为所述页岩气井由早期非稳态流动阶段向晚期拟稳态流动阶段演 变时的综合压缩系数与气体黏度的乘积的平均值;Among them, p is the average formation pressure, p i is the original formation pressure, zi is the gas compression factor in the original state, c ti is the comprehensive compression coefficient under the original formation pressure, μ i is the gas viscosity in the original state, m( p i ) is the pseudo pressure corresponding to the original formation pressure, p wf is the bottom hole flow pressure, m(p wf ) is the pseudo pressure corresponding to the bottom hole flow pressure, (c t λ) i is the product of the comprehensive compressibility and gas viscosity of the shale gas well in the original state, (c t μ) c is the shale gas well from the early unsteady flow stage to the late pseudo-steady state The average value of the product of the comprehensive compressibility factor and the gas viscosity during the evolution of the flow stage;
其中,cf为岩石压缩系数,cw为水的压缩系数,Sgi为原始状态下的含气饱和 度,z为气体压缩因子,Swi为原始状态下的含水饱和度,φ为孔隙度,ρ为岩石密 度,pL为兰氏压力,VL为兰氏体积,zsc为标准状况下的气体压缩因子,psc为标准 状况下的大气压,Tsc为标准状况下的温度,T为温度;where c f is the rock compressibility, c w is the water compressibility, S gi is the gas saturation in the original state, z is the gas compressibility factor, S wi is the water saturation in the original state, and φ is the porosity , ρ is the rock density, p L is the Rankine pressure, VL is the Rankine volume, z sc is the gas compression factor under standard conditions, p sc is the atmospheric pressure under standard conditions, T sc is the temperature under standard conditions, T is the temperature;
S20,基于所述页岩气井的地质参数以及流体物性参数,建立插值表;其中, 所述插值表中的元素包括不同的地层压力p及其对应的的值;S20, establish an interpolation table based on the geological parameters and fluid physical property parameters of the shale gas well; wherein, the elements in the interpolation table include different formation pressures p and their corresponding the value of;
S30,将所述页岩气井的原始地层压力作为所述平均地层压力迭代方程中的 平均地层压力初值,并从所述插值表中查找得到所述平均地层压力初值对应的的值;S30, take the original formation pressure of the shale gas well as the initial value of the average formation pressure in the iterative equation of the average formation pressure, and look up the value corresponding to the initial value of the average formation pressure from the interpolation table the value of;
S40,基于所述平均地层压力初值,计算得到所述平均地层压力迭代方程的 右侧项的值;S40, based on the initial value of the average formation pressure, calculate the value of the right side term of the iterative equation of the average formation pressure;
S50,基于所述平均地层压力初值对应的的值以及所述平均地层压力迭代 方程的右侧项的值,利用残差计算式计算所述平均迭代方程的残差;其中,残差 计算式为:S50, based on the initial value of the average formation pressure corresponding to and the value of the right-hand side of the iterative equation of the average formation pressure, use the residual calculation formula to calculate the residual of the average iterative equation; wherein, the residual calculation formula is:
其中,rsd(i)为残差,为所述平均地层压力初值对应的的值,为 所述平均地层压力迭代方程的右侧项的值;Among them, rsd(i) is the residual, corresponds to the initial value of the average formation pressure the value of , is the value of the right-hand term of the iterative equation of the average formation pressure;
S60,当所述残差大于预设阈值时,将所述插值表中与所述平均地层压力迭 代方程的右侧项的值对应的地层压力作为新的平均地层压力初值,返回步骤S30, 以基于新的平均地层压力初值进行迭代计算;S60, when the residual is greater than a preset threshold, use the formation pressure in the interpolation table corresponding to the value of the right-hand side term of the average formation pressure iterative equation as a new initial value of the average formation pressure, and return to step S30, Iterative calculation based on the new average formation pressure initial value;
S70,当所述残差小于等于所述预设阈值时,将所述平均地层压力初值作为 所述页岩气井的平均地层压力,停止迭代。S70, when the residual is less than or equal to the preset threshold, use the initial value of the average formation pressure as the average formation pressure of the shale gas well, and stop the iteration.
可选地,所述根据所述平均地层压力,确定该平均地层压力对应的拟时间修 正系数,包括:Optionally, according to the average formation pressure, determine the pseudo-time correction coefficient corresponding to the average formation pressure, including:
根据所述平均地层压力,利用第一预设计算式计算得到该平均地层压力对应 的拟时间修正系数;其中,所述第一预设计算式为:According to the average formation pressure, the pseudo-time correction coefficient corresponding to the average formation pressure is calculated by using the first preset calculation formula; wherein, the first preset calculation formula is:
其中,fcp_c为拟时间修正系数,ct为所述平均地层压力对应的综合压缩系数, μ为所述平均地层压力对应的气体黏度,(ctμ)i为所述页岩气井在原始状态下的综 合压缩系数与气体黏度的乘积,(ctμ)c为所述页岩气井由早期非稳态流动阶段向 晚期拟稳态流动阶段演变时的综合压缩系数与气体黏度的乘积。Among them, f cp_c is the pseudo-time correction coefficient, ct is the comprehensive compressibility coefficient corresponding to the average formation pressure, μ is the gas viscosity corresponding to the average formation pressure, ( c t μ ) i is the shale gas well in the original (c t μ) c is the product of comprehensive compressibility and gas viscosity when the shale gas well evolves from an early unsteady flow stage to a late quasi-steady flow stage.
可选地,根据所述拟时间修正系数,确定每一个干扰距离对应的干扰段的干 扰时间,包括:Optionally, according to the described pseudo-time correction coefficient, determine the interference time of the corresponding interference section of each interference distance, including:
根据所述拟时间修正系数,利用第二预设计算式计算得到每一个干扰距离对 应的干扰段的干扰时间;其中,所述第二预设计算式为:According to the described pseudo-time correction coefficient, the second preset calculation formula is utilized to calculate the interference time of the corresponding interference section of each interference distance; wherein, the second preset calculation formula is:
其中,Tc(j)为第j个干扰段对应的干扰时间,φ为孔隙度,μ为气体黏度,ct为 综合压缩系数,(ctμ)i为所述页岩气井在原始状态下的综合压缩系数与气体黏度 的乘积,k为渗透率,fcp_c为拟时间修正系数,y(j)为第j个干扰段对应的干扰距 离。Among them, T c (j) is the disturbance time corresponding to the j-th disturbance section, φ is the porosity, μ is the gas viscosity, c t is the comprehensive compressibility coefficient, (c t μ) i is the original state of the shale gas well The product of the comprehensive compressibility coefficient and the gas viscosity under , k is the permeability, f cp_c is the pseudo-time correction coefficient, and y(j) is the interference distance corresponding to the jth interference section.
可选地,所述基于所述干扰时间,确定每一个干扰时间对应的干扰段在晚期 拟稳态流动阶段开始时的递减率,包括:Optionally, based on the disturbance time, determine the decrement rate of the disturbance segment corresponding to each disturbance time at the beginning of the late quasi-steady-state flow phase, including:
基于所述干扰时间,利用第三预设计算式计算得到每一个干扰时间对应的干 扰段在晚期拟稳态流动阶段开始时的递减率;其中,所述第三预设计算式为:Based on the disturbance time, the third preset calculation formula is used to calculate the decrement rate of the disturbance segment corresponding to each disturbance time at the beginning of the late pseudo-steady-state flow stage; wherein, the third preset calculation formula is:
其中,Dc(j)为第j个干扰时间对应的递减率,Tc(j)为第j个干扰段对应的干 扰时间,a、b为常数。Among them, D c (j) is the decrement rate corresponding to the j-th interference time, T c (j) is the interference time corresponding to the j-th interference segment, and a and b are constants.
可选地,所述确定每一个所述累加干扰段长度与所述页岩气井的裂缝总长度 的比值,包括:Optionally, the determining the ratio of the length of each cumulative interference section to the total fracture length of the shale gas well includes:
根据所述累加干扰段长度,利用第四预设计算式计算得到每一个所述累加干 扰段长度与所述页岩气井的裂缝总长度的比值;其中,所述第四预设计算式为:According to the length of the cumulative interference section, the fourth preset calculation formula is used to calculate the ratio of the length of each cumulative interference section to the total fracture length of the shale gas well; wherein, the fourth preset calculation formula is:
其中,Ra(j)为第j个累加干扰段长度与裂缝总长度的比值,Lcum(j)为第j个 累加干扰段长度,nf为裂缝的总条数,xf(i)为第i条裂缝对应的裂缝半长。Among them, R a (j) is the ratio of the length of the j-th cumulative interference section to the total length of the fracture, L cum (j) is the length of the j-th cumulative interference section, n f is the total number of fractures, and x f (i) is the crack half-length corresponding to the i-th crack.
可选地,所述基于所述比值,确定每一个所述累加干扰段长度对应的所述页 岩气井在晚期拟稳态流动阶段开始时的初始产量,包括:Optionally, determining the initial production of the shale gas well at the beginning of the late pseudo-steady-state flow stage corresponding to the length of each cumulative disturbance section based on the ratio, including:
基于所述比值,利用第五预设计算式计算得到每一个所述累加干扰段长度对 应的所述页岩气井在晚期拟稳态流动阶段开始时的初始产量;其中,所述第五预 设计算式为:Based on the ratio, the fifth preset calculation formula is used to calculate the initial production of the shale gas well at the beginning of the late quasi-steady-state flow stage corresponding to the length of each cumulative disturbance section; wherein, the fifth preset The calculation formula is:
其中,qc(j)为第j个累加干扰段长度对应的初始产量,Ra(j)为为第j个累加 干扰段长度与裂缝总长度的比值,Tc(j)为第j个干扰段对应的干扰时间,a、b为 常数。Among them, q c (j) is the initial production corresponding to the length of the j-th cumulative disturbance section, R a (j) is the ratio of the length of the j-th cumulative disturbance section to the total fracture length, and T c (j) is the j-th The interference time corresponding to the interference segment, a and b are constants.
可选地,所述根据所述平均地层压力以及所述页岩气井设定的井底流压,确 定每一个所述干扰段在所述页岩气井处于晚期拟稳态流动阶段的递减指数,包括:Optionally, the determining, according to the average formation pressure and the bottom hole flow pressure set by the shale gas well, determines the decrement index of each interference section when the shale gas well is in a late pseudo-steady state flow stage, including: :
根据预设的压力段长将所述平均地层压力与所述页岩气井的井底流压构成 的压力区间分为若干段,以得到多个压力点;Dividing the pressure interval formed by the average formation pressure and the bottom hole flow pressure of the shale gas well into several segments according to a preset pressure segment length to obtain multiple pressure points;
确定每一个压力点对应的黏度和压缩系数,以得到每一个压力点对应的黏度 与压缩系数的乘积;Determine the viscosity and compressibility corresponding to each pressure point to obtain the product of the viscosity and compressibility corresponding to each pressure point;
针对每一个压力点,利用第六预设计算式得到该压力点对应的拟压力;其中, 第六预设计算式为:For each pressure point, the pseudo pressure corresponding to the pressure point is obtained by using the sixth preset calculation formula; wherein, the sixth preset calculation formula is:
其中,m(pj)为第j个压力点对应的拟压力,pj为第j个压力点的地层压力, p为平均地层压力,z为气体压缩因子,μ为所述平均地层压力对应的气体黏度,psc为标准状况下的大气压;Among them, m(p j ) is the pseudo pressure corresponding to the jth pressure point, p j is the formation pressure of the jth pressure point, p is the average formation pressure, z is the gas compression factor, and μ is the corresponding average formation pressure gas viscosity, p sc is the atmospheric pressure under standard conditions;
以每一个压力点对应的黏度与压缩系数的乘积为纵坐标,以每一个压力点对 应的拟压力为横坐标,在双对数坐标系中绘制关系曲线;Taking the product of the viscosity corresponding to each pressure point and the compressibility coefficient as the ordinate, and taking the pseudo pressure corresponding to each pressure point as the abscissa, draw the relation curve in the double logarithmic coordinate system;
利用三点法确定所述关系曲线上任一个压力点的斜率;Use the three-point method to determine the slope of any pressure point on the relationship curve;
基于所述压力点对应的拟压力以及所述页岩气井的井底流压对应的拟压力, 利用第七预设计算式计算得到该压力点的无因次拟压力差;其中,所述第七预设 计算式为:Based on the pseudo pressure corresponding to the pressure point and the pseudo pressure corresponding to the bottom hole flow pressure of the shale gas well, the seventh preset calculation formula is used to calculate the dimensionless pseudo pressure difference of the pressure point; The default calculation formula is:
其中,γj为第j个压力点的无因次拟压力差,m(pj)为第j个压力点对应的拟 压力,m(pwf)为井底流压的拟压力;Among them, γ j is the dimensionless pseudo-pressure difference of the j-th pressure point, m(p j ) is the pseudo-pressure corresponding to the j-th pressure point, and m(p wf ) is the pseudo-pressure of the bottom-hole flow pressure;
在拟压力区间内,对所述压力点的斜率与无因次拟压力差 的乘积进行梯形积分,得到该压力点的斜率以及无因次拟压力差的乘积的积分; 其中,梯形积分的计算式为:in the quasi-pressure range , the trapezoidal integral is performed on the product of the slope of the pressure point and the dimensionless pseudo-pressure difference, and the integral of the product of the slope of the pressure point and the dimensionless pseudo-pressure difference is obtained; wherein, the calculation formula of the trapezoidal integral is:
其中,bint为压力点的斜率以及无因次拟压力差的乘积的积分,np为所述平 均地层压力与所述页岩气井的井底流压构成的压力区间的段数,βj为第j个压力 点对应的斜率与无因次拟压力差的乘积;where b int is the integral of the product of the slope of the pressure point and the dimensionless pseudo-pressure difference, n p is the number of segments in the pressure interval formed by the average formation pressure and the bottom hole flow pressure of the shale gas well, and β j is the first The product of the slope corresponding to the j pressure points and the dimensionless quasi-pressure difference;
基于压力点的斜率以及无因次拟压力差的乘积的积分,利用第八预设计算式 计算得到各个所述干扰段对应的递减指数;其中,所述第八预设计算式为:Based on the slope of the pressure point and the integral of the product of the dimensionless pseudo-pressure difference, the eighth preset calculation formula is used to calculate the corresponding decreasing index of each described interference section; wherein, the eighth preset calculation formula is:
其中,bpsd为递减指数。where b psd is a decreasing index.
第二方面,本发明实施例提供了一种页岩气井产量预测系统,包括:In a second aspect, an embodiment of the present invention provides a shale gas well production prediction system, including:
干扰段确定模块,用于确定页岩气井的裂缝展布模式中各条裂缝的干扰段长 度以及相邻干扰段之间的干扰距离;其中,所述干扰段为两条裂缝之间不被其它 裂缝遮挡的裂缝段;The interference section determination module is used to determine the interference section length of each fracture and the interference distance between adjacent interference sections in the fracture distribution mode of the shale gas well; wherein, the interference section is between two fractures that are not affected by other fractures. The crack segment covered by the crack;
平均地层压力确定模块,用于确定均匀压裂条件下所述页岩气井由早期非稳 态流动阶段向晚期拟稳态流动阶段演变时的平均地层压力;The average formation pressure determination module is used to determine the average formation pressure when the shale gas well evolves from an early unsteady flow stage to a late quasi-steady flow stage under uniform fracturing conditions;
干扰时间计算模块,用于根据所述平均地层压力,确定该平均地层压力对应 的拟时间修正系数,并根据所述拟时间修正系数,确定每一个干扰距离对应的干 扰段的干扰时间;递减率确定模块,用于基于所述干扰时间,确定每一个干扰时 间对应的干扰段在晚期拟稳态流动阶段开始时的递减率;The interference time calculation module is used to determine the pseudo-time correction coefficient corresponding to the average formation pressure according to the average formation pressure, and determine the interference time of the interference section corresponding to each interference distance according to the pseudo-time correction coefficient; the lapse rate a determining module, configured to determine, based on the disturbance time, the decrement rate of the disturbance segment corresponding to each disturbance time at the beginning of the late quasi-steady-state flow phase;
累加模块,用于将具有相同干扰距离的干扰段长度进行累加,得到每一个干 扰距离对应的累加干扰段长度,并确定每一个所述累加干扰段长度与所述页岩气 井的裂缝总长度的比值,基于所述比值,确定每一个所述累加干扰段长度对应的 所述页岩气井在晚期拟稳态流动阶段开始时的初始产量;The accumulation module is used to accumulate the lengths of the interference sections with the same interference distance, to obtain the cumulative interference section length corresponding to each interference distance, and to determine the difference between the length of each cumulative interference section and the total fracture length of the shale gas well. a ratio, based on the ratio, to determine the initial production of the shale gas well at the beginning of the late quasi-steady-state flow stage corresponding to the length of each cumulative disturbance section;
递减指数确定模块,用于根据所述平均地层压力以及所述页岩气井设定的井 底流压,确定各个所述干扰段在所述页岩气井处于晚期拟稳态流动阶段时的递减 指数;A decrement index determination module, configured to determine, according to the average formation pressure and the bottom-hole flow pressure set by the shale gas well, the decrement index of each of the interference sections when the shale gas well is in a late quasi-steady-state flow stage;
模型构建模块,用于基于各个干扰段对应的干扰时间、递减率、初始产量以 及递减指数,利用双曲递减模型,构建各个干扰段对应的晚期拟稳态流动阶段产 量递减模型;The model building module is used to construct the production decrement model corresponding to the late quasi-steady-state flow stage corresponding to each disturbance segment by using the hyperbolic decrement model based on the disturbance time, decrement rate, initial production and decrement index corresponding to each disturbance segment;
产量预测模块,用于利用各个干扰段对应的晚期拟稳态流动阶段产量递减模 型分别对所述页岩气井的各个干扰段的晚期拟稳态流动阶段的产量进行预测。The production prediction module is used for predicting the production of the late quasi-steady-state flow stage of each interference section of the shale gas well by using the production decline model of the late quasi-steady-state flow stage corresponding to each interference section.
第三方面,本发明实施例提供了一种存储介质,所述存储介质上存储有程序 代码,所述程序代码被处理器执行时,实现如上述实施例中任一项所述的页岩气 井产量预测方法。In a third aspect, an embodiment of the present invention provides a storage medium, where program codes are stored on the storage medium, and when the program codes are executed by a processor, the shale gas well according to any one of the foregoing embodiments is implemented. Yield forecasting method.
第四方面,本发明实施例提供了一种电子设备,所述电子设备包括存储器、 处理器,所述存储器上存储有可在所述处理器上运行的程序代码,所述程序代码 被所述处理器执行时,实现如上述实施例中任一项所述的页岩气井产量预测方法。In a fourth aspect, an embodiment of the present invention provides an electronic device, the electronic device includes a memory and a processor, the memory stores program codes that can run on the processor, and the program codes are When executed by the processor, the method for predicting the production of a shale gas well described in any one of the foregoing embodiments is implemented.
在本发明实施例提供的一种页岩气井产量预测方法、系统、存储介质以及电 子设备,通过将页岩气井的裂缝进行分段,并构建每一段的早期非稳态流动阶段 产量预测模型以及晚期拟稳态流动阶段产量递减模型来对每一段的裂缝的产量 进行预测。该预测方法可以很好的解决现有的页岩气井产能评价方法在气井生产 早期难以应用、难以考虑复杂裂缝形态以及没有针对性的问题。从页岩气井的早 期、晚期产量递减规律入手,综合页岩气渗流机理、生产数据特征线分析技术、 高压物性分析技术,确定了气井早期、晚期阶段产量递减模式。之后再考虑复杂 裂缝形态,对气井晚期产量递减模式进行修正。在此基础上开展气井产量递减分 析,可以对复杂缝网气井进行快速准确的产能预测。In the method, system, storage medium, and electronic device for predicting the production of shale gas wells provided in the embodiments of the present invention, by segmenting the fractures of the shale gas well, and constructing a production prediction model in the early unsteady flow stage of each segment, and The production decline model for the late quasi-steady-state flow stage is used to predict the production of each stage of the fracture. This prediction method can well solve the problems that the existing shale gas well productivity evaluation methods are difficult to apply in the early stage of gas well production, difficult to consider complex fracture morphology and lack of pertinence. Starting from the law of early and late production decline of shale gas wells, shale gas seepage mechanism, production data characteristic line analysis technology, and high-pressure physical property analysis technology were combined to determine the early and late stage production decline patterns of gas wells. Then, considering the complex fracture shape, the production decline pattern in the late stage of the gas well is corrected. On this basis, the production decline analysis of gas wells can be carried out to quickly and accurately predict the productivity of gas wells with complex fracture patterns.
附图说明Description of drawings
通过结合附图阅读下文示例性实施例的详细描述可更好地理解本公开的范 围。其中所包括的附图是:The scope of the present disclosure may be better understood by reading the following detailed description of exemplary embodiments in conjunction with the accompanying drawings. The drawings included are:
图1示出了本发明实施例一提出的一种页岩气井产量预测方法的流程示意图;FIG. 1 shows a schematic flowchart of a method for predicting production of a shale gas well proposed in
图2示出了裂缝展布模式的示意图;Figure 2 shows a schematic diagram of the crack distribution pattern;
图3示出了干扰次序图的示意图;3 shows a schematic diagram of an interference sequence diagram;
图4示出了关系曲线的示意图;Figure 4 shows a schematic diagram of a relationship curve;
图5示出了生产动态数据的示意图;Figure 5 shows a schematic diagram of production dynamic data;
图6示出了的散点图;Figure 6 shows scatter plot;
图7示出了每个压力点下粘度和压缩系数乘积、拟压力的取值的示意图;Figure 7 shows a schematic diagram of the value of the product of viscosity and compressibility and the pseudo pressure at each pressure point;
图8示出了三点法求取斜率的示意图;Fig. 8 shows the schematic diagram that the three-point method obtains the slope;
图9示出了斜率、无因此拟压力差以及斜率与无因次拟压力差的示意图;Figure 9 shows a schematic diagram of the slope, the thus-free pseudo-pressure difference, and the slope and the dimensionless pseudo-pressure difference;
图10示出了梯形积分的示意图;Figure 10 shows a schematic diagram of trapezoidal integration;
图11示出了总产量预测模型预测的产量值与实际散点的对比图;Figure 11 shows the comparison of the output value predicted by the total output forecasting model and the actual scatter;
图12示出了日产量、累计产量随时间变化的变化曲线。Figure 12 shows the change curves of daily output and cumulative output with time.
具体实施方式Detailed ways
为使本发明的目的、技术方案和优点更加清楚,以下将结合附图及实施例来 详细说明本发明的实施方法,借此对本发明如何应用技术手段来解决技术问题, 并达成技术效果的实现过程能充分理解并据以实施。In order to make the purpose, technical solutions and advantages of the present invention clearer, the implementation method of the present invention will be described in detail below with reference to the accompanying drawings and embodiments, thereby how to apply technical means to the present invention to solve technical problems and achieve the realization of technical effects The process can be fully understood and implemented accordingly.
在下面的描述中阐述了很多具体细节以便于充分理解本发明,但是,本发明 还可以采用其他不同于在此描述的其他方式来实施,因此,本发明的保护范围并 不受下面公开的具体实施例的限制。Many specific details are set forth in the following description to facilitate a full understanding of the present invention. However, the present invention can also be implemented in other ways different from those described herein. Therefore, the protection scope of the present invention is not limited by the specific details disclosed below. Example limitations.
实施例一Example 1
根据本发明的实施例,提供了一种页岩气井产量预测方法,图1示出了本发 明实施例一提出的一种页岩气井产量预测方法的流程示意图,如图1所示,该页 岩气井产量预测方法可以包括:According to an embodiment of the present invention, a method for predicting production of shale gas wells is provided. FIG. 1 shows a schematic flowchart of a method for predicting production of shale gas wells proposed in
在步骤11中,确定页岩气井的裂缝展布模式中各条裂缝的干扰段长度以及 相邻干扰段之间的干扰距离;其中,所述干扰段为两条裂缝之间不被其它裂缝遮 挡的裂缝段。In
这里,通过现场的微地震监测数据,绘制页岩气井的裂缝展布模式,即裂缝 长度分布图。其中,微地震监测数据可以解释得出每条裂缝的长度;若无微地震 监测数据,可以根据压裂施工参数解释得到每条裂缝的长度;若无法获取裂缝段 长度值,只确定各裂缝长度之间的比例即可。Here, the fracture distribution pattern of shale gas wells, that is, the fracture length distribution map, is drawn through the on-site microseismic monitoring data. Among them, the microseismic monitoring data can be interpreted to obtain the length of each fracture; if there is no microseismic monitoring data, the length of each fracture can be obtained by interpretation according to the fracturing construction parameters; if the length value of the fracture segment cannot be obtained, only the length of each fracture can be determined ratio between.
图2示出了裂缝展布模式的示意图,如图2所示,通过现场的微地震监测数 据,绘制页岩气井的裂缝展布模式。Fig. 2 shows a schematic diagram of the fracture distribution pattern. As shown in Fig. 2, the fracture distribution pattern of the shale gas well is drawn through the on-site microseismic monitoring data.
在绘制出页岩气井的裂缝长度分布图后,结合图形法绘制裂缝干扰次序图。 裂缝干扰次序图包含两部分的信息:裂缝干扰距离以及干扰段长度。裂缝干扰次 序图的绘制步骤为:After drawing the fracture length distribution diagram of the shale gas well, the fracture interference sequence diagram is drawn in combination with the graphical method. The fracture interference sequence diagram contains two parts of information: fracture interference distance and interference segment length. The steps for drawing the crack interference sequence diagram are:
S111,确定第j(j=1:nf)条裂缝与第r(r=1:nf)条裂缝的干扰段长度,其中, 干扰段为两条裂缝之间不被其它裂缝遮挡的裂缝段。S111: Determine the length of the interference segment between the jth (j=1: nf ) crack and the rth (r=1: nf ) crack, where the interference segment is a crack between the two cracks that is not shielded by other cracks part.
S112,若干扰段的长度大于0,则计算两条裂缝之间的距离,该距离即为裂 缝干扰距离。S112, if the length of the interference segment is greater than 0, calculate the distance between the two cracks, which is the crack interference distance.
S113,为整个压裂水平井圈定一矩形外边界,矩形中心位于水平井筒中心处, 其中沿裂缝方向上的矩形边长为最大的裂缝长度,沿水平井筒方向上的矩形边长 为水平井长度。S113, delineate a rectangular outer boundary for the entire fracturing horizontal well, the center of the rectangle is located at the center of the horizontal wellbore, wherein the length of the rectangular side along the direction of the fracture is the maximum fracture length, and the length of the rectangular side along the direction of the horizontal wellbore is the length of the horizontal well .
S114,确定第j(j=1:nf)条裂缝与两个矩形外边界(平行于裂缝方向上的外 边界)之间的干扰长度。S114: Determine the interference length between the jth (j=1:n f ) crack and the two rectangular outer boundaries (outer boundaries parallel to the crack direction).
S115,计算第j(j=1:nf)条裂缝与两个矩形外边界(平行于裂缝方向上的外 边界)之间的干扰距离,但需要在步骤S121的求解结果的基础上乘以2。S115, calculate the interference distance between the jth (j=1:nf) crack and the two rectangular outer boundaries (outer boundaries parallel to the crack direction), but need to multiply by 2 on the basis of the solution result in step S121.
S116,按照取值的不同将干扰距离进行分类,得到多个不同的干扰距离。S116: Classify the interference distances according to different values to obtain a plurality of different interference distances.
S117,每一个干扰距离对应一个或多个大于0的干扰长度,将二者作为边长 绘制矩形框,该矩形框代表了该干扰长度段的有效泄流面积。S117, each interference distance corresponds to one or more interference lengths greater than 0, and the two are used as side lengths to draw a rectangular frame, and the rectangular frame represents the effective leakage area of the interference length section.
S118,对绘制形成的矩形框进行分类,干扰距离相同的矩形框用同一底色显 示。矩形框底色相同,表示其对应的裂缝段干扰时间相同,最终形成了裂缝干扰 次序图。S118, classify the rectangular frames formed by drawing, and display rectangular frames with the same interference distance with the same background color. The background color of the rectangular boxes is the same, indicating that the corresponding fracture segments have the same interference time, and finally the fracture interference sequence diagram is formed.
图3示出了干扰次序图的示意图,如图3所示,在图3中显示了9种干扰距 离以及对应的干扰段。Fig. 3 shows a schematic diagram of the interference sequence diagram, as shown in Fig. 3, in which 9 kinds of interference distances and corresponding interference segments are shown.
在步骤12中,确定均匀压裂条件下所述页岩气井由早期非稳态流动阶段向 晚期拟稳态流动阶段演变时的平均地层压力。In
在一个可选的实施方式中,步骤12中,确定均匀压裂条件下所述页岩气井 由早期非稳态流动阶段向晚期拟稳态流动阶段演变时的平均地层压力,包括:In an optional embodiment, in
S10,基于所述页岩气井的地质参数以及流体物性参数,构建平均地层压力 迭代方程;其中,所述平均地层压力迭代方程为:S10, based on the geological parameters and fluid physical property parameters of the shale gas well, construct an iterative equation of average formation pressure; wherein, the iterative equation of average formation pressure is:
其中,p为平均地层压力,pi为原始地层压力,zi为原始状态下的气体压缩因 子,cti为原始地层压力下的综合压缩系数,μi为原始状态下的气体粘度,m(pi)为 原始地层压力对应的拟压力,pwf为井底流压,m(pwf)为井底流压对应的拟压力, (ctμ)i为所述页岩气井在原始状态下的综合压缩系数与气体黏度 的乘积,(ctμ)c为所述页岩气井由早期非稳态流动阶段向晚期拟稳态流动阶段演 变时的综合压缩系数与气体黏度的乘积的平均值;Among them, p is the average formation pressure, p i is the original formation pressure, zi is the gas compression factor in the original state, ct i is the comprehensive compression coefficient under the original formation pressure, μ i is the gas viscosity in the original state, m( p i ) is the pseudo pressure corresponding to the original formation pressure, p wf is the bottom hole flow pressure, m(p wf ) is the pseudo pressure corresponding to the bottom hole flow pressure, (c t μ) i is the product of the comprehensive compressibility and gas viscosity of the shale gas well in the original state, (c t μ) c is the shale gas well from the early unsteady flow stage to the late pseudo-steady state The average value of the product of the comprehensive compressibility factor and the gas viscosity during the evolution of the flow stage;
其中,cf为岩石压缩系数,cw为水的压缩系数,Sgi为原始状态下的含气饱和 度,z为气体压缩因子,Swi为原始状态下的含水饱和度,φ为孔隙度,p为岩石密 度,pL为兰氏压力,VL为兰氏体积,zsc为标准状况下的气体压缩因子,psc为标准 状况下的大气压,Tsc为标准状况下的温度,T为温度;where c f is the rock compressibility, c w is the water compressibility, S gi is the gas saturation in the original state, z is the gas compressibility factor, S wi is the water saturation in the original state, and φ is the porosity , p is the rock density, p L is the Rankine pressure, VL is the Rankine volume, z sc is the gas compression factor under the standard condition, p sc is the atmospheric pressure under the standard condition, T sc is the temperature under the standard condition, T is the temperature;
S20,基于所述页岩气井的地质参数以及流体物性参数,建立插值表;其中, 所述插值表中的元素包括不同的地层压力p及其对应的的值;S20, establish an interpolation table based on the geological parameters and fluid physical property parameters of the shale gas well; wherein, the elements in the interpolation table include different formation pressures p and their corresponding the value of;
S30,将所述页岩气井的原始地层压力作为所述平均地层压力迭代方程中的 平均地层压力初值,并从所述插值表中查找得到所述平均地层压力初值对应的的值;S30, take the original formation pressure of the shale gas well as the initial value of the average formation pressure in the iterative equation of the average formation pressure, and look up the value corresponding to the initial value of the average formation pressure from the interpolation table the value of;
S40,基于所述平均地层压力初值,计算得到所述平均地层压力迭代方程的 右侧项的值;S40, based on the initial value of the average formation pressure, calculate the value of the right side term of the iterative equation of the average formation pressure;
S50,基于所述平均地层压力初值对应的的值以及所述平均地层压力迭代 方程的右侧项的值,利用残差计算式计算所述平均迭代方程的残差;其中,残差 计算式为:S50, based on the initial value of the average formation pressure corresponding to and the value of the right-hand side of the iterative equation of the average formation pressure, use the residual calculation formula to calculate the residual of the average iterative equation; wherein, the residual calculation formula is:
其中,rsd(i)为残差,为所述平均地层压力初值对应的的值,为 所述平均地层压力迭代方程的右侧项的值;Among them, rsd(i) is the residual, corresponds to the initial value of the average formation pressure the value of , is the value of the right-hand term of the iterative equation of the average formation pressure;
S60,当所述残差大于预设阈值时,将所述插值表中与所述平均地层压力迭 代方程的右侧项的值对应的地层压力作为新的平均地层压力初值,返回步骤S30, 以基于新的平均地层压力初值进行迭代计算;S60, when the residual is greater than a preset threshold, use the formation pressure in the interpolation table corresponding to the value of the right-hand side term of the average formation pressure iterative equation as a new initial value of the average formation pressure, and return to step S30, Iterative calculation based on the new average formation pressure initial value;
S70,当所述残差小于等于所述预设阈值时,将所述平均地层压力初值作为 所述页岩气井的平均地层压力,停止迭代。S70, when the residual is less than or equal to the preset threshold, use the initial value of the average formation pressure as the average formation pressure of the shale gas well, and stop the iteration.
在步骤13中,根据所述平均地层压力,确定该平均地层压力对应的拟时间 修正系数,并根据所述拟时间修正系数,确定每一个干扰距离对应的干扰段的干 扰时间。In
在一个可选的实施方式中,步骤13中,根据所述平均地层压力,确定该平 均地层压力对应的拟时间修正系数,包括:In an optional embodiment, in
根据所述平均地层压力,利用第一预设计算式计算得到该平均地层压力对应 的拟时间修正系数;其中,所述第一预设计算式为:According to the average formation pressure, the pseudo-time correction coefficient corresponding to the average formation pressure is calculated by using the first preset calculation formula; wherein, the first preset calculation formula is:
其中,fcp_c为拟时间修正系数,ct为所述平均地层压力对应的综合压缩系数, μ为所述平均地层压力对应的气体黏度,(ctμ)i为所述页岩气井在原始状态下的综 合压缩系数与气体黏度的乘积,(ctμ)c为所述页岩气井由早期非稳态流动阶段向 晚期拟稳态流动阶段演变时的综合压缩系数与气体黏度的乘积。Among them, f cp_c is the pseudo-time correction coefficient, ct is the comprehensive compressibility coefficient corresponding to the average formation pressure, μ is the gas viscosity corresponding to the average formation pressure, ( c t μ ) i is the shale gas well in the original (c t μ) c is the product of comprehensive compressibility and gas viscosity when the shale gas well evolves from an early unsteady flow stage to a late quasi-steady flow stage.
在一个可选的实施方式中,步骤13中,根据所述拟时间修正系数,确定每 一个干扰距离对应的干扰段的干扰时间,包括:In an optional embodiment, in
根据所述拟时间修正系数,利用第二预设计算式计算得到每一个干扰距离对 应的干扰段的干扰时间;其中,所述第二预设计算式为:According to the described pseudo-time correction coefficient, the second preset calculation formula is utilized to calculate the interference time of the corresponding interference section of each interference distance; wherein, the second preset calculation formula is:
其中,Tc(j)为第j个干扰段对应的干扰时间,φ为孔隙度,μ为气体黏度,ct为 综合压缩系数,(ctμ)i为所述页岩气井在原始状态下的综合压缩系数与气体黏度 的乘积,k为渗透率,fcp_c为拟时间修正系数,y(j)为第j个干扰段对应的干扰距 离。Among them, T c (j) is the disturbance time corresponding to the j-th disturbance section, φ is the porosity, μ is the gas viscosity, c t is the comprehensive compressibility coefficient, (c t μ) i is the original state of the shale gas well The product of the comprehensive compressibility coefficient and the gas viscosity under , k is the permeability, f cp_ c is the pseudo-time correction coefficient, and y(j) is the interference distance corresponding to the jth interference section.
在步骤14中,基于所述干扰时间,确定每一个干扰时间对应的干扰段在晚 期拟稳态流动阶段开始时的递减率。In
在一个可选的实施方式中,步骤14中,基于所述干扰时间,确定每一个干 扰时间对应的干扰段在晚期拟稳态流动阶段开始时的递减率,包括:In an optional embodiment, in
基于所述干扰时间,利用第三预设计算式计算得到每一个干扰时间对应的干 扰段在晚期拟稳态流动阶段开始时的递减率;其中,所述第三预设计算式为:Based on the disturbance time, the third preset calculation formula is used to calculate the decrement rate of the disturbance segment corresponding to each disturbance time at the beginning of the late pseudo-steady-state flow stage; wherein, the third preset calculation formula is:
其中,Dc(j)为第j个干扰时间对应的递减率,Tc(j)为第j个干扰段对应的干 扰时间,a、b为常数。Among them, D c (j) is the decrement rate corresponding to the j-th interference time, T c (j) is the interference time corresponding to the j-th interference segment, and a and b are constants.
在步骤15中,将具有相同干扰距离的干扰段长度进行累加,得到每一个干 扰距离对应的累加干扰段长度,并确定每一个所述累加干扰段长度与所述页岩气 井的裂缝总长度的比值,基于所述比值,确定每一个所述累加干扰段长度对应的 所述页岩气井在晚期拟稳态流动阶段开始时的初始产量。In
这里,具有相同干扰距离的干扰段的长度进行累加,得到多个干扰段长度, 每一个干扰段长度对应一个干扰距离。Here, the lengths of the interference segments with the same interference distance are accumulated to obtain multiple interference segment lengths, and each interference segment length corresponds to an interference distance.
在一个可选的实施方式中,步骤15中,确定每一个所述累加干扰段长度与 所述页岩气井的裂缝总长度的比值,包括:In an optional embodiment, in
根据所述累加干扰段长度,利用第四预设计算式计算得到每一个所述累加干 扰段长度与所述页岩气井的裂缝总长度的比值;其中,所述第四预设计算式为:According to the length of the cumulative interference section, a fourth preset calculation formula is used to calculate the ratio of the length of each cumulative interference section to the total fracture length of the shale gas well; wherein, the fourth preset calculation formula is:
其中,Ra(j)为第j个累加干扰段长度与裂缝总长度的比值,Lcum(j)为第j个 累加干扰段长度,nf为裂缝的总条数,xf(i)为第i条裂缝对应的裂缝半长。Among them, R a (j) is the ratio of the length of the j-th cumulative interference section to the total length of the fracture, L cum (j) is the length of the j-th cumulative interference section, n f is the total number of fractures, and x f (i) is the crack half-length corresponding to the i-th crack.
在一个可选的实施方式中,在步骤19中,基于所述比值,确定每一个所述 累加干扰段长度对应的所述页岩气井在晚期拟稳态流动阶段开始时的初始产量, 包括:In an optional embodiment, in
基于所述比值,利用第五预设计算式计算得到每一个所述累加干扰段长度对 应的所述页岩气井在晚期拟稳态流动阶段开始时的初始产量;其中,所述第五预 设计算式为:Based on the ratio, the fifth preset calculation formula is used to calculate the initial production of the shale gas well at the beginning of the late quasi-steady-state flow stage corresponding to the length of each cumulative disturbance section; wherein, the fifth preset The calculation formula is:
其中,qc(j)为第j个累加干扰段长度对应的初始产量,Ra(j)为为第j个累加 干扰段长度与裂缝总长度的比值,Tc(j)为第j个干扰段对应的干扰时间,a、b为 常数。Among them, q c (j) is the initial production corresponding to the length of the j-th cumulative disturbance section, R a (j) is the ratio of the length of the j-th cumulative disturbance section to the total fracture length, and T c (j) is the j-th The interference time corresponding to the interference segment, a and b are constants.
在步骤16中,根据所述平均地层压力以及所述页岩气井设定的井底流压, 确定每一个所述干扰段在所述页岩气井处于晚期拟稳态流动阶段时的递减指数。In
在一个可选的实施方式中,步骤16中,根据所述平均地层压力以及所述页 岩气井设定的井底流压,确定每一个所述干扰段在所述页岩气井处于晚期拟稳态 流动阶段时的递减指数,包括:In an optional embodiment, in
根据预设的压力段长将所述平均地层压力与所述页岩气井的井底流压构成 的压力区间分为若干段,以得到多个压力点;Dividing the pressure interval formed by the average formation pressure and the bottom hole flow pressure of the shale gas well into several segments according to a preset pressure segment length to obtain multiple pressure points;
确定每一个压力点对应的黏度和压缩系数,以得到每一个压力点对应的黏度 与压缩系数的乘积;Determine the viscosity and compressibility corresponding to each pressure point to obtain the product of the viscosity and compressibility corresponding to each pressure point;
针对每一个压力点,利用第六预设计算式得到该压力点对应的拟压力;其中, 第六预设计算式为:For each pressure point, the pseudo pressure corresponding to the pressure point is obtained by using the sixth preset calculation formula; wherein, the sixth preset calculation formula is:
其中,m(pj)为第j个压力点对应的拟压力,pj为第j个压力点的地层压力, p为平均地层压力,z为气体压缩因子,μ为所述平均地层压力对应的气体黏度,psc为标准状况下的大气压;其中,psc的取值为0.1。Among them, m(p j ) is the pseudo pressure corresponding to the jth pressure point, p j is the formation pressure of the jth pressure point, p is the average formation pressure, z is the gas compression factor, and μ is the corresponding average formation pressure The gas viscosity of , p sc is the atmospheric pressure under standard conditions; among them, the value of p sc is 0.1.
以每一个压力点对应的黏度与压缩系数的乘积为纵坐标,以每一个压力点对 应的拟压力为横坐标,在双对数坐标系中绘制关系曲线;Taking the product of the viscosity corresponding to each pressure point and the compressibility coefficient as the ordinate, and taking the pseudo pressure corresponding to each pressure point as the abscissa, draw the relation curve in the double logarithmic coordinate system;
利用三点法确定所述关系曲线上任一个压力点的斜率;Use the three-point method to determine the slope of any pressure point on the relationship curve;
基于所述压力点对应的拟压力以及所述页岩气井的井底流压对应的拟压力, 利用第七预设计算式计算得到该压力点的无因次拟压力差;其中,所述第七预设 计算式为:Based on the pseudo pressure corresponding to the pressure point and the pseudo pressure corresponding to the bottom hole flow pressure of the shale gas well, the seventh preset calculation formula is used to calculate the dimensionless pseudo pressure difference of the pressure point; The default calculation formula is:
其中,γj为第j个压力点的无因次拟压力差,m(pj)为第j个压力点对应的拟 压力,m(pwf)为井底流压的拟压力;Among them, γ j is the dimensionless pseudo-pressure difference of the j-th pressure point, m(p j ) is the pseudo-pressure corresponding to the j-th pressure point, and m(p wf ) is the pseudo-pressure of the bottom-hole flow pressure;
在拟压力区间内,对所述压力点的斜率与无因次拟压力差 的乘积进行梯形积分,得到该压力点的斜率以及无因次拟压力差的乘积的积分; 其中,梯形积分的计算式为:in the quasi-pressure range , the trapezoidal integral is performed on the product of the slope of the pressure point and the dimensionless pseudo-pressure difference, and the integral of the product of the slope of the pressure point and the dimensionless pseudo-pressure difference is obtained; wherein, the calculation formula of the trapezoidal integral is:
其中,bint为压力点的斜率以及无因次拟压力差的乘积的积分,np为所述平 均地层压力与所述页岩气井的井底流压构成的压力区间的段数,βj为第j个压力 点对应的斜率与无因次拟压力差的乘积;where b int is the integral of the product of the slope of the pressure point and the dimensionless pseudo-pressure difference, n p is the number of segments in the pressure interval formed by the average formation pressure and the bottom hole flow pressure of the shale gas well, and β j is the first The product of the slope corresponding to the j pressure points and the dimensionless quasi-pressure difference;
基于压力点的斜率以及无因次拟压力差的乘积的积分,利用第八预设计算式 计算得到各个所述干扰段对应的递减指数;其中,所述第八预设计算式为:Based on the slope of the pressure point and the integral of the product of the dimensionless pseudo-pressure difference, the eighth preset calculation formula is used to calculate the corresponding decreasing index of each described interference section; wherein, the eighth preset calculation formula is:
其中,bpsd为递减指数。where b psd is a decreasing index.
这里,求取递减指数的具体过程如下:Here, the specific process of obtaining the decreasing index is as follows:
S161,基于收集的页岩气井的气井工作制度,确定气井设定的井底流压pwf,;S161, determining the bottom hole flow pressure p wf set by the gas well based on the collected gas well working system of the shale gas well;
S162,基于平均地层压力pc,明确压力区间。S162 , based on the average formation pressure p c , a pressure interval is defined.
其中,压力区间为:(pc,pwf)。Among them, the pressure interval is: (p c , p wf ).
S163,根据预设的压力段长将所述平均地层压力与所述页岩气井的井底流压 构成的压力区间分为若干段,以得到多个压力点。S163: Divide the pressure interval formed by the average formation pressure and the bottom hole flow pressure of the shale gas well into several segments according to a preset pressure segment length to obtain multiple pressure points.
如,以压力段长Δp=0.1MPa将压力区间分为np段,则得到np个压力点, np=(pc-pwf)/Δp+1,其中,第j个压力点为:pj=Pwf+(j-1)×Δp j= 1,2,3…np For example, the pressure interval is divided into n p sections with the pressure section length Δp=0.1MPa, then n p pressure points are obtained, n p =(p c -p wf )/
S164,针对每一个压力点,计算对应的黏度和压缩系数,以得到每一个压力 点对应的黏度uj与压缩系数ctj的乘积(uct)j。S164 , for each pressure point, calculate the corresponding viscosity and compressibility coefficient to obtain the product (uc t ) j of the viscosity u j corresponding to each pressure point and the compressibility coefficient c tj .
S165,针对每一个压力点,利用第六预设计算式得到该压力点对应的拟压力; 其中,第六预设计算式为:S165, for each pressure point, use the sixth preset calculation formula to obtain the pseudo pressure corresponding to the pressure point; wherein, the sixth preset calculation formula is:
S166,以每一个压力点对应的黏度与压缩系数的乘积为横坐标,以每一个压 力点对应的拟压力为纵坐标,绘制关系曲线。S166, take the product of the viscosity corresponding to each pressure point and the compressibility coefficient as the abscissa, and take the pseudo pressure corresponding to each pressure point as the ordinate, and draw a relationship curve.
其中,如在双对数坐标中绘制关系曲线,其中,纵坐标为每一个压力点对应 的拟压力,横坐标为每一个压力点对应的黏度与压缩系数的乘积。图4示出了关 系曲线的示意图,该关系曲线如图4所示。Among them, if the relationship curve is drawn in the double logarithmic coordinate, the ordinate is the pseudo pressure corresponding to each pressure point, and the abscissa is the product of the viscosity corresponding to each pressure point and the compressibility coefficient. Figure 4 shows a schematic diagram of the relationship curve shown in Figure 4 .
S167,利用三点法确定所述关系曲线上任一个压力点的斜率。S167, using the three-point method to determine the slope of any pressure point on the relationship curve.
这里,将每一个压力点对应的m(pj)、(uct)j分别取对数,得到log[m(pj)]、 log[(uct)j],为简化计算,定义两个变量:Here, take the logarithm of m(p j ) and (uc t ) j corresponding to each pressure point, respectively, to obtain log[m(p j )] and log[(uc t ) j ]. To simplify the calculation, define two variables:
xj=log[m(pj)]x j =log[m(p j )]
f(xj)=log[(uct)j]f(x j )=log[(uc t ) j ]
若j=1,求导公式为:If j=1, the derivation formula is:
若j=np,求导公式为:If j=n p , the derivation formula is:
对于其他压力点,求导公式为:For other pressure points, the derivation formula is:
得到任意一个压力点处的斜率,并取绝对值。则斜率αj=|f′(xj)|。Get the slope at any pressure point and take the absolute value. Then the slope α j =|f'(x j )|.
S168,基于所述压力点对应的拟压力以及所述页岩气井的井底流压对应的拟 压力,利用第七预设计算式计算得到该压力点的无因次拟压力差;其中,所述第 七预设计算式为:S168 , based on the pseudo pressure corresponding to the pressure point and the pseudo pressure corresponding to the bottom hole flow pressure of the shale gas well, use a seventh preset calculation formula to obtain a dimensionless pseudo pressure difference at the pressure point; wherein the The seventh preset calculation formula is:
其中,γj为第j个压力点的无因次拟压力差,m(pj)为第j个压力点对应的拟 压力,m(pwf)为井底流压的拟压力;Among them, γ j is the dimensionless pseudo-pressure difference of the j-th pressure point, m(p j ) is the pseudo-pressure corresponding to the j-th pressure point, and m(p wf ) is the pseudo-pressure of the bottom-hole flow pressure;
S169,在拟压力区间内,对所述压力点的斜率与无因次拟 压力差的乘积进行梯形积分,得到该压力点的斜率以及无因次拟压力差的乘积的 积分;其中,梯形积分的计算式为:S169, in the pseudo-pressure range , the trapezoidal integral is performed on the product of the slope of the pressure point and the dimensionless pseudo-pressure difference, and the integral of the product of the slope of the pressure point and the dimensionless pseudo-pressure difference is obtained; wherein, the calculation formula of the trapezoidal integral is:
其中,bint为压力点的斜率以及无因次拟压力差的乘积的积分,np为所述平 均地层压力与所述页岩气井的井底流压构成的压力区间的段数,βj为第j个压力 点对应的斜率与无因次拟压力差的乘积;where b int is the integral of the product of the slope of the pressure point and the dimensionless pseudo-pressure difference, n p is the number of segments in the pressure interval formed by the average formation pressure and the bottom hole flow pressure of the shale gas well, and β j is the first The product of the slope corresponding to the j pressure points and the dimensionless quasi-pressure difference;
S1691,基于压力点的斜率以及无因次拟压力差的乘积的积分,利用第八预 设计算式计算得到所述递减指数;其中,所述第八预设计算式为:S1691, based on the slope of the pressure point and the integral of the product of the dimensionless pseudo-pressure difference, utilize the eighth preset formula to calculate and obtain the decreasing index; wherein, the eighth preset formula is:
其中,bpsd为递减指数。where b psd is a decreasing index.
这里,该递减指数为双曲递减模型中的递减指数。双曲递减模型为常用的页 岩气井晚期拟稳态流动阶段递减模式。Here, the decreasing exponent is the decreasing exponent in the hyperbolic decreasing model. The hyperbolic decline model is a commonly used decline model in the late quasi-steady flow stage of shale gas wells.
在步骤17中,基于所述干扰时间、所述递减率、所述初始产量以及所述递 减指数,结合双曲递减模型,构建各个干扰段对应的晚期拟稳态流动阶段产量递 减模型。In
其中,所述晚期拟稳态流动阶段产量递减模型为:Among them, the output decline model of the late pseudo-steady-state flow stage is:
其中,qlate(j)为第j个干扰段在晚期拟稳态流动阶段时的产量,bpsd为递减指 数,qc(j)为第j个累加干扰段长度对应的初始产量,Dc(j)为第j个干扰段的递减 率,Tc(j)为第j个干扰段对应的干扰时间,t为时间。Among them, q late (j) is the output of the jth disturbance segment in the late quasi-steady flow stage, b psd is the decrement index, q c (j) is the initial output corresponding to the length of the jth cumulative disturbance segment, D c (j) is the decrement rate of the j-th interference segment, T c (j) is the interference time corresponding to the j-th interference segment, and t is the time.
这里,时间t是页岩气井的累计产气时间,单位为天,Tc(j)则指的是该干扰 段演变至晚期拟稳态流动阶段时的时间,如Tc(j)=7,则在第7天的时候,该干 扰段进入晚期拟稳态流动阶段。Here, time t is the cumulative gas production time of shale gas wells, in days, and T c (j) refers to the time when the disturbance segment evolves to the late quasi-steady-state flow stage, such as T c (j)=7 , then on the 7th day, the disturbance segment entered the late quasi-steady-state flow stage.
在步骤18中,利用所述晚期拟稳态流动阶段产量递减模型对所述页岩气井 的晚期拟稳态流动阶段的产量进行预测。In
这里,页岩气井的每个裂缝段包括一个或多个干扰段,通过确定每个干扰段 的晚期拟稳态流动阶段产量递减模型,即可以对所述页岩气井的晚期拟稳态流动 阶段的产量进行预测。Here, each fracture section of the shale gas well includes one or more interference sections, and by determining the production decline model in the late quasi-steady flow stage of each interference section, that is, the late quasi-steady flow stage of the shale gas well can be determined. production forecast.
在一个可选的实施方式中,所述方法还包括:In an optional embodiment, the method further includes:
确定所述页岩气井的早期非稳态流动阶段产量递减模型;determining a production decline model for the early unsteady flow phase of the shale gas well;
基于每一个所述累加干扰段长度与所述页岩气井的裂缝总长度的比值,结合 利用所述早期非稳态流动阶段产量递减模型,构建各个干扰段对应的早期非稳态 流动阶段产量预测模型;其中,各个干扰段对应的所述早期非稳态流动阶段产量 预测模型用于对所述页岩气井的各个干扰段处于在早期非稳态流动阶段时的产 量进行预测。Based on the ratio of the length of each cumulative interference section to the total length of fractures in the shale gas well, combined with the production decline model in the early unsteady flow stage, the production prediction of the early unsteady flow stage corresponding to each interference section is constructed The model; wherein, the early unsteady flow stage production prediction model corresponding to each disturbance section is used to predict the production of each disturbance section of the shale gas well in the early unsteady flow stage.
这里,该晚期拟稳态流动阶段产量递减模型对所述页岩气井的晚期拟稳态流 动阶段的产量进行预测,而对于页岩气井的早期非稳态流动阶段的产量预测则可 以通过构建各个干扰段对应的早期非稳态流动阶段产量预测模型进行产量预测。Here, the production decline model in the late quasi-steady-state flow stage predicts the production of the shale gas well in the late quasi-steady-state flow stage, while the production prediction of the shale gas well in the early unsteady flow stage can be calculated by constructing each The production forecasting model of the early unsteady flow stage corresponding to the disturbance section is used to forecast the production.
其中,所述早期非稳态流动阶段产量递减模型为:Among them, the output decline model in the early unsteady flow stage is:
其中,qear为早期非稳态流动阶段的页岩气井产量,t为时间,a、b为常数; 其中,a、b为对根据所述页岩气井的生产动态数据绘制的1/q与的关系曲线进 行散点拟合得到的斜率和截距;其中,q为日产量。Among them, q ear is the output of the shale gas well in the early unsteady flow stage, t is the time, and a and b are constants; wherein, a and b are the 1/q and The slope and intercept of the relationship curve obtained by scatter fitting; where q is the daily output.
这里,含多条裂缝的水平井早期生产时,缝间尚未出现干扰,此时整个气井 的产能变化规律与单一裂缝条件下气井产量变化规律一致;早期预测模型建立时 考虑页岩气井生产过程中地层中存在吸附气解吸作用,结合兰格缪尔等温吸附模 型,通过修正气体压缩系数来刻画吸附气解吸对气井生产的影响。则早期非稳态 流动阶段产量递减模型为:Here, in the early production of the horizontal well with multiple fractures, there is no interference between the fractures. At this time, the change law of productivity of the whole gas well is consistent with the change law of the production of the gas well under the condition of a single fracture; the early prediction model is established considering the production process of the shale gas well. There is desorption of adsorbed gas in the formation. Combined with the Langmuir adsorption isotherm model, the effect of desorption of adsorbed gas on gas well production is described by correcting the gas compressibility. Then the output decreasing model in the early unsteady flow stage is:
其中,q为气井产量,104m3/d,t:时间,d;T:温度,K;h: 气藏厚度,m;μ:气体粘度,cp;m(p):压力p对应的拟压力, MPa2/cp;xf:裂缝半长,m;k:渗透率,mD;z:气体压缩因子,无因次。in, q is gas well production, 10 4 m 3 /d, t: time, d; T: temperature, K; h: gas reservoir thickness, m; μ: gas viscosity, cp; m(p): pseudo pressure corresponding to pressure p , MPa 2 /cp; x f : fracture half-length, m; k: permeability, mD; z: gas compressibility factor, dimensionless.
修正压缩系数为:ct=cg+cads;其中:ct:修正后气体压 缩系数,MPa-1;cg:气体压缩系数,MPa-1;cads:吸附气解吸所产生的附加气体 压缩系数,MPa-1;ρ:岩石密度,g/cm3;φ:孔隙度,小数;pL:兰氏压力, MPa;VL兰氏体积,m3/m3;p:压力,MPa。The modified compression factor is: c t =c g +c ads ; where: c t : modified gas compressibility, MPa -1 ; c g : gas compressibility, MPa -1 ; cads : additional gas compressibility generated by desorption of adsorbed gas, MPa -1 ; ρ: rock density, g/cm 3 ; φ: porosity, decimal; p L : Rankine pressure, MPa; VL Rankine volume, m 3 /m 3 ; p: pressure, MPa.
根据该模型,关系曲线在直角坐标系中为一过原点的直线段。对于多 裂缝水平井,缝间干扰出现之前,该线性关系仍然成立。考虑井筒、裂缝污染等 原因,直线段可能偏离原点,据此将早期非稳态线性流动阶段整个压裂水 平井产量递减模式定为:According to this model, The relationship curve is a straight line segment through the origin in the Cartesian coordinate system. For multi-fractured horizontal wells, this linear relationship still holds before interfracture interference occurs. Considering the wellbore, fracture pollution and other reasons, The straight line section may deviate from the origin, so the production decline mode of the whole fracturing horizontal well in the early unsteady linear flow stage is defined as:
则,计算收集到的产量的倒数1/q,在直角坐标系中绘制散点图,寻 找早期直线段,散点拟合求得直线段斜率a、截距b,得到早期非稳态流动阶段 产量递减模型:Then, calculate the reciprocal 1/q of the collected yield, plotted in Cartesian coordinates Scatter plot, looking for the early straight line segment, scatter point fitting to obtain the slope a and intercept b of the straight line segment, and obtain the output decline model in the early unsteady flow stage:
其中,所述各个干扰段对应的早期非稳态流动阶段产量预测模型为:Wherein, the output prediction model of the early unsteady flow stage corresponding to each disturbance segment is:
其中,qear(j)为第j个干扰段在早期非稳态流动阶段时的产量,Ra(j)为所述 累加干扰段长度与所述页岩气井的裂缝总长度的比值。Wherein, q ear (j) is the production of the j-th disturbance section in the early unsteady flow stage, and R a (j) is the ratio of the cumulative length of the disturbance section to the total fracture length of the shale gas well.
在一个可选的实施方式中,所述方法还包括:In an optional embodiment, the method further includes:
基于各个干扰段对应的晚期拟稳态流动阶段产量递减模型以及早期非稳态 流动阶段产量预测模型,结合所述干扰段的干扰时间,构建各个干扰段的全阶段 产量递减模型;Based on the late quasi-steady-state flow stage production decline model and the early unsteady flow stage production prediction model corresponding to each interference section, combined with the interference time of the interference section, construct the full-stage production decline model of each interference section;
将各个干扰段的全阶段产量递减模型进行叠加,得到所述页岩气井的总产量 预测模型。The full-stage production decline models of each interference section are superimposed to obtain the total production prediction model of the shale gas well.
其中,所述全阶段产量递减模型为:Wherein, the full-stage production decline model is:
其中,q(j)为第j个干扰段的全阶段产量;Among them, q(j) is the full-stage output of the j-th disturbance segment;
所述总产量预测模型为:The total output prediction model is:
其中,qa为所述页岩气井的日产量,n为干扰段的数量。Wherein, q a is the daily output of the shale gas well, and n is the number of interference sections.
在本实施例中,该预测方法可以很好的解决现有的页岩气井产能评价方法在 气井生产早期难以应用、难以考虑复杂裂缝形态以及没有针对性的问题。从页岩 气井的早期、晚期产量递减规律入手,综合页岩气渗流机理、生产数据特征线分 析技术、高压物性分析技术,确定了气井早期、晚期阶段产量递减模式。之后再 考虑复杂裂缝形态,对气井晚期产量递减模式进行修正。在此基础上开展气井产 量递减分析,可以对复杂缝网气井进行快速准确的产能预测。In this embodiment, the prediction method can well solve the problems that the existing shale gas well productivity evaluation methods are difficult to apply in the early stage of gas well production, difficult to consider complex fracture shapes and lack of pertinence. Starting from the law of early and late production decline of shale gas wells, comprehensive shale gas seepage mechanism, production data characteristic line analysis technology, and high-pressure physical property analysis technology, the production decline pattern of gas wells in the early and late stages is determined. Then, considering the complex fracture shape, the production decline pattern in the late stage of the gas well is corrected. On this basis, the production decline analysis of gas wells can be carried out to quickly and accurately predict the productivity of gas wells with complex fracture patterns.
实施例二
在本实施例中,以一口实际页岩气生产井为例来对本发明提出的页岩气井产 量预测方法进行详细说明。In this embodiment, an actual shale gas production well is taken as an example to describe the shale gas well production prediction method proposed by the present invention in detail.
S210,建立页岩气井的早期非稳态流动阶段产量递减模型。S210, establishing a production decline model in the early unsteady flow stage of the shale gas well.
这里,建立的早期非稳态流动阶段整个压裂水平井产量递减模式为:Here, the established production decline model for the entire fracturing horizontal well in the early unsteady flow stage is:
然后,获取气井的生产动态数据,该气井生产动态数据包括气井的日产量, 图5示出了生产动态数据的示意图,如图5所示,生产动态数据包括日产气量、 井底流压的数据。根据气井生产动态数据,在直角坐标系中绘制散点图, 图6示出了的散点图,如图6所示,寻找早期直线段,利用散点拟合方法 求得直线段斜率为0.0115。直线近似通过坐标轴远点,截距近似为0,据此得到 早期非稳态流动阶段产量预测模型为:Then, the production performance data of the gas well is obtained, which includes the daily production of the gas well. Figure 5 shows a schematic diagram of the production performance data. As shown in Figure 5, the production performance data includes the data of daily gas production and bottom hole pressure. According to the production performance data of the gas well, it is drawn in the Cartesian coordinate system scatter plot, Figure 6 shows The scatter diagram of , as shown in Figure 6, finds the early straight line segment, and uses the scatter fitting method to obtain the slope of the straight line segment to be 0.0115. The straight line approximately passes through the far point of the coordinate axis, and the intercept is approximately 0. According to this, the output prediction model in the early unsteady flow stage is obtained as:
S220,确定均匀压裂条件下所述页岩气井由早期非稳态流动阶段向晚期拟稳 态流动阶段演变时的平均地层压力。S220, determining the average formation pressure when the shale gas well evolves from an early unsteady flow stage to a late quasi-steady flow stage under the condition of uniform fracturing.
这里,平均地层压力的求解过程如下:Here, the solution process of the average formation pressure is as follows:
基于所述页岩气井的地质参数以及流体物性参数,构建平均地层压力迭代方 程;其中,所述平均地层压力迭代方程为:Based on the geological parameters and fluid physical property parameters of the shale gas well, an iterative equation of average formation pressure is constructed; wherein, the iterative equation of average formation pressure is:
利用迭代算法对所述平均地层压力迭代方程进行迭代计算,得到所述平均地 层压力。The iterative calculation of the average formation pressure iteration equation is performed using an iterative algorithm to obtain the average formation pressure.
其中,页岩气井的地质参数以及流体物性参数的参数如表1所示,且设定的 井底流压为7.5MPa。Among them, the geological parameters and fluid physical parameters of the shale gas well are shown in Table 1, and the set bottom hole flow pressure is 7.5MPa.
表1Table 1
则基于该页岩气井的地质参数以及流体物性参数,建立p与的插值表。Based on the geological parameters and fluid physical parameters of the shale gas well, p and interpolation table.
该插值表如表2所示:The interpolation table is shown in Table 2:
表2Table 2
将平均地层压力迭代方程的残差设置为0.1MPa,进行接下来的迭代。Set the residual of the mean formation pressure iteration equation to 0.1 MPa and proceed to the next iteration.
第一次迭代:取原始地层压力66MPa,作为所求的平均地层压力初值;基 于给定的基础参数和z**的计算式,计算得到平均地层压力初值对应的为 48.959MPa;基于目前平均地层压力、原始地层压力、井底流压,计算得到平均 地层压力迭代方程右侧项为43.449MPa;计算平均地层压力迭代方程残差为 5.510MPa,远远大于给定的误差限,因此不满足条件。The first iteration: take the original formation pressure of 66MPa as the initial value of the average formation pressure; based on the given basic parameters and the calculation formula of z ** , the corresponding initial value of the average formation pressure is calculated. is 48.959MPa; based on the current average formation pressure, original formation pressure, and bottom-hole flow pressure, the right-hand term of the iterative equation for average formation pressure is calculated. is 43.449MPa; the residual error of the iterative equation for calculating the average formation pressure is 5.510MPa, which is much larger than the given error limit, so it does not meet the conditions.
第二次迭代:在p与p/z**差值表中查找取值为43.449MPa时对应的压 力p为51.25MPa,以此值作为新的平均地层压力初值;同样计算对应的z**,计 算得到平均地层压力初值对应的为43.453MPa;基于目前平均地层压力、原 始地层压力、井底流压,计算得到平均地层压力迭代方程右侧项为 42.735MPa;计算平均地层压力迭代方程残差为0.718MPa,该值仍大于给定的误 差限,因此不满足条件。Second iteration: lookup in p and p/z** difference table When the value is 43.449MPa, the corresponding pressure p is 51.25MPa, and this value is used as the initial value of the new average formation pressure; the corresponding z** is also calculated, and the corresponding initial value of the average formation pressure is calculated. is 43.453MPa; based on the current average formation pressure, original formation pressure, and bottom-hole flow pressure, the right-hand term of the iterative equation for average formation pressure is calculated. is 42.735MPa; the residual error of the iterative equation for calculating the average formation pressure is 0.718MPa, which is still larger than the given error limit, so the condition is not satisfied.
第三次迭代:在p与p/z**差值表中查找取值为42.735MPa时对应的压 力p为49.550MPa,以此值作为新的平均地层压力初值,则计算得到z**的值, 计算得到平均地层压力初值对应的为42.737MPa;基于目前平均地层压力、 原始地层压力、井底流压,计算得到平均地层压力迭代方程右侧项为 42.625MPa;计算平均地层压力迭代方程残差为0.112MPa,该值仍稍大于给定的 误差限,因此不满足条件。Third iteration: look up in the p and p/z** difference table When the value is 42.735MPa, the corresponding pressure p is 49.550MPa, and this value is used as the initial value of the new average formation pressure, then the value of z** is calculated, and the corresponding initial value of the average formation pressure is calculated. is 42.737MPa; based on the current average formation pressure, original formation pressure, and bottom-hole flow pressure, the right-hand term of the iterative equation for average formation pressure is calculated is 42.625MPa; the residual error of the iterative equation for calculating the average formation pressure is 0.112MPa, which is still slightly larger than the given error limit, so it does not meet the conditions.
第四次迭代:在p与p/z**差值表中查找取值为42.625MPa时对应的压 力p为49.250MPa,以此值作为新的平均地层压力初值;同样计算对应的z**, 计算得到平均地层压力初值对应的为42.609MPa;基于目前平均地层压力、 原始地层压力、井底流压,计算得到平均地层压力迭代方程右侧项为42.605MPa;计算平均地层压力迭代方程残差为0.004MPa,该值小于给定的误差 限,因此满足条件,迭代结束。Fourth iteration: look up in the p and p/z** difference table When the value is 42.625MPa, the corresponding pressure p is 49.250MPa, and this value is used as the initial value of the new average formation pressure; the corresponding z** is also calculated, and the corresponding initial value of the average formation pressure is calculated. is 42.609MPa; based on the current average formation pressure, original formation pressure, and bottom-hole flow pressure, the right-hand term of the iterative equation for average formation pressure is calculated is 42.605MPa; the residual error of the iterative equation for calculating the average formation pressure is 0.004MPa, which is less than the given error limit, so the condition is satisfied, and the iteration ends.
则平均地层压力为:49.250MPa,拟时间修正系数为:0.8743。Then the average formation pressure is: 49.250MPa, and the pseudo-time correction coefficient is: 0.8743.
S230,确定均匀压裂条件下页岩气井的晚期拟稳态流动阶段产量递减模型。S230, determining a production decline model of a shale gas well in a late pseudo-steady-state flow stage under the condition of uniform fracturing.
这里,设定该页岩气井生产时的井底流压设置为7.5MPa,则S230的具体步 骤如下:Here, the bottom hole flow pressure during production of the shale gas well is set to be 7.5MPa, then the specific steps of S230 are as follows:
根据求得的平均地层压力,确定压力区间为(7.5,49.3);According to the obtained average formation pressure, the pressure interval is determined as (7.5, 49.3);
设置压力段长Δp=0.1MPa,将压力区间分为419段,第j个压力点为: pj=7.5+(j-1)×0.1Set the pressure section length Δp=0.1MPa, divide the pressure interval into 419 sections, and the jth pressure point is: p j =7.5+(j-1)×0.1
针对每一个压力点p(j),计算对应的粘度uj和压缩系数ctj,得到二者乘积 (uct)j,针对每一个压力点计算pj对应的拟压力m(pj)。图7示出了每个压力点下 粘度和压缩系数乘积、拟压力的取值的示意图,如图7所示,图7中虚线表示每 个压力点下粘度、压缩系数乘积的取值,图7中实线表示压力和拟压力对应关系。For each pressure point p(j), calculate the corresponding viscosity u j and compressibility c tj , obtain the product (uc t ) j , and calculate the pseudo pressure m(p j ) corresponding to p j for each pressure point. Figure 7 shows a schematic diagram of the value of the product of viscosity and compressibility and the pseudo-pressure at each pressure point. As shown in Figure 7, the dotted line in Figure 7 represents the value of the product of viscosity and compressibility at each pressure point. The solid line in 7 represents the corresponding relationship between pressure and pseudo-pressure.
计算结果得到419个一一对应的数据对,即[m(pj),(uct)j]。As a result of the calculation, 419 data pairs corresponding to one-to-one are obtained, namely [m(p j ), (uc t ) j ].
然后基于数据对在对数坐标中绘制m(pj)~(uct)j关系曲线,以求取每个压力 点对应的斜率。Then, based on the data pairs, plot the m(p j )~(uc t ) j relationship curve in logarithmic coordinates to obtain the slope corresponding to each pressure point.
图8示出了三点法求取斜率的示意图,关系曲线如图8中实线所示。FIG. 8 shows a schematic diagram of the slope obtained by the three-point method, and the relationship curve is shown as the solid line in FIG. 8 .
在m(pj)~(uct)j关系曲线上,选择如图8中所示的三个典型点,说明斜率的 求解过程:On the m(p j )~(uc t ) j relationship curve, select three typical points as shown in Figure 8 to illustrate the solution process of the slope:
对于第一个点,求解斜率时需要用到[x1,f(x1)]、[x2,f(x2)]、[x3,f(x3)] 共三个数据对,求解得到三个数据对分别为:(3.569,-2.658)、(3.624,-2.684)、 (3.676,-2.709),则求解得到第一个点的斜率为-0.468。For the first point, three data pairs, [x 1 , f(x 1 )], [x 2 , f(x 2 )], [x 3 , f(x 3 )], are needed to solve the slope. The three data pairs obtained by solving are: (3.569, -2.658), (3.624, -2.684), (3.676, -2.709), then the slope of the first point is -0.468.
对于第210个点,求解该点处的斜率时,需要用到的数据对为(4.644,-3.212)、(4.657,-3.220)以及(4.670,-3.229),求解得到第210个点的斜率为-0.646。For the 210th point, when solving the slope at this point, the data pairs that need to be used are (4.644, -3.212), (4.657, -3.220) and (4.670, -3.229), and the slope of the 210th point is obtained by solving is -0.646.
对于第419个点,求解该处斜率时,需要用到的数据对为(5.013,-3.477)、(5.019,-3.483)以及(5.026,-3.488),求解得到第419个点的斜率为-0.807。 其余点的斜率可采用类似的求解方法,For the 419th point, when solving the slope here, the data pairs that need to be used are (5.013, -3.477), (5.019, -3.483) and (5.026, -3.488), and the slope of the 419th point is - 0.807. The slope of the remaining points can be solved in a similar way,
基于所述压力点对应的拟压力以及所述页岩气井的井底流压对应的拟压力, 利用第七预设计算式计算得到该压力点的无因次拟压力差;其中,所述第七预设 计算式为:Based on the pseudo pressure corresponding to the pressure point and the pseudo pressure corresponding to the bottom hole flow pressure of the shale gas well, the seventh preset calculation formula is used to calculate the dimensionless pseudo pressure difference of the pressure point; The default calculation formula is:
其中,γj为第j个压力点的无因次拟压力差,m(pj)为第j个压力点对应的拟 压力,m(pwf)为井底流压的拟压力;Among them, γ j is the dimensionless pseudo-pressure difference of the j-th pressure point, m(p j ) is the pseudo-pressure corresponding to the j-th pressure point, and m(p wf ) is the pseudo-pressure of the bottom-hole flow pressure;
图9示出了斜率、无因此拟压力差以及斜率与无因次拟压力差的示意图,如 图9所示,α为斜率,γ为,β为无因次拟压力差,斜率与无因次拟压力差的乘积。Fig. 9 shows a schematic diagram of the slope, the pseudo-pressure difference without a factor, and the slope and the pseudo-pressure difference without a dimension. As shown in Fig. 9, α is the slope, γ is the slope, and β is the pseudo-pressure difference without the dimension, and the slope and the dimensionless pseudo-pressure difference The product of the secondary quasi-pressure differences.
然后,在拟压力区间内,对所述压力点的斜率与无因次拟 压力差的乘积进行梯形积分,得到多边形的面积,图10示出了梯形积分的示意 图,如图10所示,曲线圈定的面积即为bint,最终结果为bint=60702.18。Then, in the quasi-pressure interval Inside, the trapezoidal integral is performed on the product of the slope of the pressure point and the dimensionless quasi-pressure difference to obtain the area of the polygon. Figure 10 shows a schematic diagram of the trapezoidal integral. As shown in Figure 10, the area enclosed by the curve is b int , the final result is b int =60702.18.
最后,基于第八预设计算式求解晚期拟稳态流动阶段产量递减模型的递减指 数bpsd为0.593。对于该模型中的其他参数的求取已在上述实施例中进行详细说明, 在此不再赘述。Finally, based on the eighth preset calculation formula, the decrement index b psd of the late quasi-steady-state flow stage production decline model is 0.593. The calculation of other parameters in the model has been described in detail in the above embodiments, and will not be repeated here.
S240,对晚期拟稳态流动阶段产量递减模型进行修正。S240, revising the production decline model in the late quasi-steady-state flow stage.
这里,由于在压裂过程中产能的是非均匀的裂缝系统,需要考虑其对气井产 量递减规律的影响,修正晚期拟稳态流动阶段产量递减模型。压裂施工参数中加 砂量,确定各条裂缝长度比例,根据比例绘制裂缝形态展布图,如图2所示。其 中,各条裂缝长度比例如表3所示。Here, due to the non-uniform fracture system in the fracturing process, its influence on the production decline law of gas wells needs to be considered, and the production decline model in the late quasi-steady-state flow stage needs to be corrected. The amount of sand is added to the fracturing construction parameters to determine the length ratio of each fracture, and the fracture shape distribution diagram is drawn according to the ratio, as shown in Figure 2. Among them, the length ratio of each crack is shown in Table 3.
表3table 3
绘制干扰次序图,其目的是要确定裂缝干扰距离以及干扰段。其中,该页岩 气井共有23条裂缝,以第8条裂缝为例,说明干扰次序图绘制过程中干扰距离 和干扰段长度的求取办法。The purpose of drawing the disturbance sequence diagram is to determine the fracture disturbance distance and the disturbance segment. Among them, there are 23 fractures in this shale gas well. Taking the 8th fracture as an example, the method for obtaining the interference distance and the length of the interference section in the process of drawing the interference sequence diagram is explained.
1)确定第8条裂缝与第1~6、10~19、21~23条裂缝的干扰长度均为0;与第 7条裂缝的干扰长度为53m,对应的干扰距离为66.1m;与9条裂缝的干扰长度 为44m,干扰距离为66.1m;与第20条裂缝的干扰长度为4m,干扰距离为793.2m。1) It is determined that the interference length of the 8th crack and the 1st to 6th, 10th to 19th, and 21st to 23rd cracks are all 0; the interference length of the 7th crack is 53m, and the corresponding interference distance is 66.1m; The interference length of the crack is 44m, and the interference distance is 66.1m; the interference length with the 20th crack is 4m, and the interference distance is 793.2m.
2)为整个压裂水平井圈定一矩形外边界,矩形中心位于水平井中心处,矩 形长1520m、宽58m,图3中虚线给出圈定的矩形外边界。2) Delineate a rectangular outer boundary for the entire fracturing horizontal well. The center of the rectangle is located at the center of the horizontal well. The rectangle is 1520m long and 58m wide. The dotted line in Fig. 3 shows the delineated rectangular outer boundary.
3)采用步骤1)中的方法,确定第8条裂缝与两个矩形外边界(平行于裂缝 方向上)之间的干扰距离。第8条裂缝与左侧矩形外边界干扰长度为0,与右侧 矩形外边界之间的干扰长度5m,干扰距离求解时需要在步骤1)求解结果的基础 上乘以2,为2049.1m。3) Using the method in step 1), determine the interference distance between the eighth crack and the two rectangular outer boundaries (parallel to the crack direction). The interference length between the eighth crack and the left rectangular outer boundary is 0, and the interference length between the eighth crack and the right rectangular outer boundary is 5 m. When solving the interference distance, it is necessary to multiply the solution result in step 1) by 2, which is 2049.1 m.
4)与步骤3)类似,可以确定其余裂缝的干扰长度和干扰距离。4) Similar to step 3), the interference length and interference distance of the remaining cracks can be determined.
5)按照取值的不同将干扰距离进行分类,得到num=9个不同的干扰距离, 按照从小到大的顺序进行标号,如表4所示:5) Classify the interference distances according to the different values, obtain num=9 different interference distances, and label them in order from small to large, as shown in Table 4:
表4Table 4
6)将干扰距离和干扰长度作为边长绘制矩形框,该矩形框代表了该干扰长 度段的有效泄流面积。6) Draw a rectangular frame with the interference distance and the interference length as the side lengths, and the rectangular frame represents the effective leakage area of the interference length section.
7)对绘制形成的矩形框进行分类,干扰距离相同的矩形框用同一底色显示 最终形成了干扰次序图,如图3所示,干扰距离共有9种,因此矩形框有9种不 同的底色。7) Classify the rectangular frames formed by drawing, and the rectangular frames with the same interference distance are displayed with the same background color and finally form the interference sequence diagram. As shown in Figure 3, there are 9 kinds of interference distances, so the rectangular frames have 9 different backgrounds. color.
8)基于该干扰次序图,计算累加干扰段长度、累加干扰段长度与所述页岩 气井的裂缝总长度的比值以及每一个干扰距离对应的干扰段的干扰时间、递减率、 初始产量。8) Based on the interference sequence diagram, calculate the cumulative interference section length, the ratio of the cumulative interference section length to the total fracture length of the shale gas well, and the interference time, decline rate, and initial production of the interference section corresponding to each interference distance.
则每一个干扰距离对应的干扰段的干扰时间以及递减率如表5所示。Then the interference time and decrement rate of the interference segment corresponding to each interference distance are shown in Table 5.
表5table 5
将相同干扰距离对应的干扰长度进行累加,得到9个累加干扰长度Lcum, 并计算每一个累加干扰长度与裂缝总长度的比值,计算结果如表6所示,The interference lengths corresponding to the same interference distance are accumulated to obtain 9 accumulated interference lengths Lcum, and the ratio of each accumulated interference length to the total crack length is calculated. The calculation results are shown in Table 6.
表6Table 6
计算每一个累加干扰长度对应的晚期拟稳态流动阶段开始时的产量,如表7 所示。The output at the beginning of the late quasi-steady-state flow phase corresponding to each cumulative disturbance length is calculated, as shown in Table 7.
表7Table 7
以第1个累加干扰长度为例,建立的晚期拟稳态流动阶段产量递减模型为:Taking the first cumulative disturbance length as an example, the established production decline model in the late quasi-steady-state flow stage is:
以第1个累加干扰长度为例,构建全阶段产量递减模型为:Taking the first cumulative disturbance length as an example, the whole-stage production decline model is constructed as:
其余累加干扰长度段对应的产量递减模型均可参照第1个累加干扰长度建 立。The production decreasing models corresponding to the other accumulated disturbance length segments can be established with reference to the first accumulated disturbance length.
9)将每个裂缝段的产量进行叠加得到整个水平井的产量为:9) The production of each fractured section is superimposed to obtain the production of the entire horizontal well:
图11示出了总产量预测模型预测的产量值与实际散点的对比图,如图11所 示,该总产量预测模型预测的产量符合实际需求。Figure 11 shows the comparison between the output value predicted by the total output forecasting model and the actual scatter. As shown in Figure 11, the output predicted by the total output forecasting model is in line with the actual demand.
图12示出了日产量、累计产量随时间变化的变化曲线,如图12所示,预测 结果显示该页岩气井的累产气量为1.18亿方。Figure 12 shows the change curves of daily production and cumulative production with time. As shown in Figure 12, the prediction result shows that the cumulative gas production of this shale gas well is 118 million cubic meters.
实施例三
根据本发明的实施例,还提供了一种页岩气井产量预测系统,包括:According to an embodiment of the present invention, a production prediction system for shale gas wells is also provided, including:
干扰段确定模块,用于确定页岩气井的裂缝展布模式中各条裂缝的干扰段长 度以及相邻干扰段之间的干扰距离;其中,所述干扰段为两条裂缝之间不被其它 裂缝遮挡的裂缝段;The interference section determination module is used to determine the length of the interference section of each fracture in the fracture distribution mode of the shale gas well and the interference distance between adjacent interference sections; wherein, the interference section is the distance between two fractures that is not affected by other fractures. The crack segment covered by the crack;
平均地层压力确定模块,用于确定均匀压裂条件下所述页岩气井由早期非稳 态流动阶段向晚期拟稳态流动阶段演变时的平均地层压力;The average formation pressure determination module is used to determine the average formation pressure when the shale gas well evolves from an early unsteady flow stage to a late quasi-steady flow stage under uniform fracturing conditions;
干扰时间计算模块,用于根据所述平均地层压力,确定该平均地层压力对应 的拟时间修正系数,并根据所述拟时间修正系数,确定每一个干扰距离对应的干 扰段的干扰时间;递减率确定模块,用于基于所述干扰时间,确定每一个干扰时 间对应的干扰段在晚期拟稳态流动阶段开始时的递减率;The interference time calculation module is used to determine the pseudo-time correction coefficient corresponding to the average formation pressure according to the average formation pressure, and determine the interference time of the interference section corresponding to each interference distance according to the pseudo-time correction coefficient; the lapse rate a determining module, configured to determine, based on the disturbance time, the decrement rate of the disturbance segment corresponding to each disturbance time at the beginning of the late quasi-steady-state flow phase;
累加模块,用于将具有相同干扰距离的干扰段长度进行累加,得到每一个干 扰距离对应的累加干扰段长度,并确定每一个所述累加干扰段长度与所述页岩气 井的裂缝总长度的比值,基于所述比值,确定每一个所述累加干扰段长度对应的 所述页岩气井在晚期拟稳态流动阶段开始时的初始产量;The accumulation module is used to accumulate the lengths of the interference sections with the same interference distance, to obtain the cumulative interference section length corresponding to each interference distance, and to determine the difference between the length of each cumulative interference section and the total fracture length of the shale gas well. a ratio, based on the ratio, to determine the initial production of the shale gas well at the beginning of the late quasi-steady-state flow stage corresponding to the length of each cumulative disturbance section;
递减指数确定模块,用于根据所述平均地层压力以及所述页岩气井设定的井 底流压,确定各个所述干扰段在所述页岩气井处于晚期拟稳态流动阶段时的递减 指数;A decrement index determination module, configured to determine, according to the average formation pressure and the bottom-hole flow pressure set by the shale gas well, the decrement index of each of the interference sections when the shale gas well is in a late quasi-steady-state flow stage;
模型构建模块,用于基于各个干扰段对应的干扰时间、递减率、初始产量以 及递减指数,利用双曲递减模型,构建各个干扰段对应的晚期拟稳态流动阶段产 量递减模型;The model building module is used to construct the production decrement model corresponding to the late quasi-steady-state flow stage corresponding to each disturbance segment by using the hyperbolic decrement model based on the disturbance time, decrement rate, initial production and decrement index corresponding to each disturbance segment;
产量预测模块,用于利用各个干扰段对应的晚期拟稳态流动阶段产量递减模 型分别对所述页岩气井的各个干扰段的晚期拟稳态流动阶段的产量进行预测。The production prediction module is used for predicting the production of the late quasi-steady-state flow stage of each interference section of the shale gas well by using the production decline model of the late quasi-steady-state flow stage corresponding to each interference section.
实施例四
根据本发明的实施例,还提供了一种存储介质,所述存储介质上存储有程序 代码,所述程序代码被处理器执行时,实现如上述实施例任一项所述的页岩气井 产量预测方法。According to an embodiment of the present invention, a storage medium is also provided, and a program code is stored on the storage medium, and when the program code is executed by a processor, the shale gas well production rate according to any one of the foregoing embodiments is realized. method of prediction.
实施例五
根据本发明的实施例,还提供了一种电子设备,所述电子设备包括存储器、 处理器,所述存储器上存储有可在所述处理器上运行的程序代码,所述程序代码 被所述处理器执行时,实现如上述实施例任一项所述的页岩气井产量预测方法。According to an embodiment of the present invention, there is also provided an electronic device, the electronic device includes a memory and a processor, the memory stores program codes that can be executed on the processor, and the program codes are stored by the When executed by the processor, the method for predicting the production of a shale gas well according to any one of the foregoing embodiments is implemented.
以上结合附图详细说明了本发明的技术方案,考虑到相关技术中,页岩气压 裂水平井产量递减预测方法存在在气井生产早期难以应用、难以考虑复杂裂缝形 态以及没有针对性的问题。本发明提供一种页岩气井产量预测方法、系统、存储 介质以及电子设备,本发明为了解决页岩气压裂水平井产量递减预测方法在气井 生产早期难以应用、难以考虑复杂裂缝形态以及没有针对性的问题,建立起一套 页岩气非均匀压裂水平井产能预测流程。本发明在进行非均匀压裂水平井产能预 测时,首先确定早期流动阶段气井产量递减模式,在该模式的指导下利用生产数 据特征线分析技术,确定早期非稳态流动阶段产量预测模型;之后通过引入高压 物性分析技术,确定了均匀压裂条件下气井晚期拟稳态阶阶段产量递减模式;再 引入图形法刻画非均匀压裂对气井晚期阶段产量变化规律的影响,通过绘制干扰 次序图将复杂裂缝进行分段,建立各裂缝段的产量递减模型后再进行叠加得到整个压裂水平井的产能预测模型,解决了常规递减分析方法难以考虑复杂裂缝形态 的问题。最终形成了一套切实可行的页岩气非均匀压裂水平井产能预测方法。The technical solutions of the present invention are described in detail above with reference to the accompanying drawings. Considering the related art, the production decline prediction method of shale gas fracturing horizontal wells has the problems of being difficult to apply in the early stage of gas well production, difficult to consider complex fracture shapes and lack of pertinence. The present invention provides a production prediction method, system, storage medium and electronic equipment for shale gas wells. In order to solve the problem that the production decline prediction method for shale gas fracturing horizontal wells is difficult to apply in the early stage of gas well production, it is difficult to consider complex fracture shapes and does not target Therefore, a set of productivity prediction process for shale gas horizontal wells with uneven fracturing has been established. When predicting the productivity of a horizontal well with non-uniform fracturing, the present invention first determines the production decline mode of the gas well in the early flow stage, and uses the production data characteristic line analysis technology under the guidance of the mode to determine the production prediction model in the early unsteady flow stage; By introducing the high-pressure physical property analysis technology, the production decline mode of the gas well in the late quasi-steady stage stage under the condition of uniform fracturing was determined. Then, a graphic method was introduced to describe the influence of non-uniform fracturing on the production change law of the gas well in the late stage. The complex fractures are segmented, and the production decline model of each fracture segment is established and then superimposed to obtain the productivity prediction model of the entire fracturing horizontal well, which solves the problem that the conventional decline analysis method is difficult to consider the complex fracture shape. Finally, a set of feasible shale gas non-uniform fracturing horizontal well productivity prediction methods have been formed.
在本申请所提供的几个实施例中,应该理解到,所揭露的装置和方法,可以 通过其它的方式实现。例如,以上所描述的装置实施例仅仅是示意性的,例如, 单元的划分,仅仅为一种逻辑功能划分,实际实现时可以有另外的划分方式,例 如多个单元或组件可以结合或者可以集成到另一个系统,或一些特征可以忽略, 或不执行。In the several embodiments provided in this application, it should be understood that the disclosed apparatus and method may be implemented in other manners. For example, the apparatus embodiments described above are only illustrative. For example, the division of units is only a logical function division. In actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated. To another system, or some features can be ignored, or not implemented.
作为分离部件说明的单元可以是或者也可以不是物理上分开的,作为单元显 示的部件可以是或者也可以不是物理单元,即可以位于一个地方,或者也可以分 布到多个网络单元上。可以根据实际的需要选择其中的部分或者全部单元来实现 本发明实施例方案的目的。Units described as separate components may or may not be physically separated, and components shown as units may or may not be physical units, that is, may be located in one place, or may be distributed over multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solutions of the embodiments of the present invention.
另外,在本发明各个实施例中的各功能单元可以集成在一个处理单元中,也 可以是各个单元单独物理存在,也可以是两个或两个以上单元集成在一个单元中。 上述集成的单元既可以采用硬件的形式实现,也可以采用软件功能单元的形式实 现。In addition, each functional unit in each embodiment of the present invention may be integrated into one processing unit, or each unit may exist physically alone, or two or more units may be integrated into one unit. The above-mentioned integrated units may be implemented in the form of hardware, or may be implemented in the form of software functional units.
集成的单元如果以软件功能单元的形式实现并作为独立的产品销售或使用 时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本发明的技术 方案本质上或者说对现有技术做出贡献的部分,或者该技术方案的全部或部分可 以以软件产品的形式体现出来,该计算机软件产品存储在一个存储介质中,包括 若干指令用以使得一台电子设备(可以是个人计算机,服务器,或者网络设备等) 执行本发明各个实施例方法的全部或部分步骤。而前述的存储介质包括:U盘、 移动硬盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM, Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质。The integrated unit, if implemented as a software functional unit and sold or used as a stand-alone product, may be stored on a computer-readable storage medium. Based on this understanding, the technical solution of the present invention is essentially or a part that contributes to the prior art, or all or part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium , including several instructions for causing an electronic device (which may be a personal computer, a server, or a network device, etc.) to execute all or part of the steps of the methods of the various embodiments of the present invention. The aforementioned storage medium includes: U disk, removable hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), magnetic disk or optical disk and other media that can store program codes. .
虽然本发明所公开的实施方式如上,但所述的内容只是为了便于理解本发明 而采用的实施方式,并非用以限定本发明。任何本发明所属技术领域内的技术人 员,在不脱离本发明所公开的精神和范围的前提下,可以在实施的形式上及细节 上作任何的修改与变化,但本发明的保护范围,仍须以所附的权利要求书所界定 的范围为准。Although the disclosed embodiments of the present invention are as above, the content described is only an embodiment adopted to facilitate understanding of the present invention, and is not intended to limit the present invention. Any person skilled in the art to which the present invention belongs, without departing from the spirit and scope disclosed by the present invention, can make any modifications and changes in the form and details of the implementation, but the protection scope of the present invention is still The scope as defined by the appended claims shall prevail.
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