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CN100588990C - Formation Fluid Saturation Evaluation Method - Google Patents

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CN100588990C
CN100588990C CN200610112745A CN200610112745A CN100588990C CN 100588990 C CN100588990 C CN 100588990C CN 200610112745 A CN200610112745 A CN 200610112745A CN 200610112745 A CN200610112745 A CN 200610112745A CN 100588990 C CN100588990 C CN 100588990C
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CN101135732A (en
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岳文正
陶果
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China University of Petroleum Beijing
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Abstract

本发明提供一种地层流体饱和度评价方法,利用如下岩电关系模型评价地层流体饱和度:(见右式),其中,I为电阻率增大系数;RO为地层百分百含水时的电阻率,单位为Ω·m;Rt为地层电阻率,单位为Ω·m;SW为地层含水饱和度;φ为孔隙度;Vsh为泥质含量;U为润湿性指数;Y为参数;C为常数。本发明反映了饱和度本身分布形式、润湿性、泥质含量、孔隙度对岩电关系的影响,可有效提高储层含油气评价的准确性,降低了油气的勘探风险。

Figure 200610112745

The invention provides a method for evaluating formation fluid saturation, which utilizes the following rock-electricity relationship model to evaluate formation fluid saturation: (see the right formula), wherein, I is the resistivity increase coefficient; R O is when the formation is 100% water-bearing Resistivity, unit is Ω m; R t is formation resistivity, unit is Ω m; S W is formation water saturation; φ is porosity; Vsh is mud content; U is wettability index; parameter; C is a constant. The invention reflects the influence of the distribution form of the saturation itself, wettability, shale content and porosity on the rock-electricity relationship, can effectively improve the accuracy of reservoir oil and gas evaluation, and reduce oil and gas exploration risks.

Figure 200610112745

Description

地层流体饱和度评价方法 Formation Fluid Saturation Evaluation Method

技术领域 technical field

本发明涉及测井勘探技术,特别是涉及一种地层流体饱和度评价方法,具体的讲是一种利用测井资料来定量评价储层的含油气量的方法。The invention relates to well logging exploration technology, in particular to a method for evaluating formation fluid saturation, specifically a method for quantitatively evaluating the oil and gas content of reservoirs by using well logging data.

背景技术 Background technique

石油是一种重要的战略资源。从经济和技术的角度,无论是对外合作、通过国际投标购买国外油田,还是在国内进行勘探寻找新的油气区以及对老油田进行重新评价,储层储量评价都是一个重要的关键技术,提高储量评价技术无论是对国民经济的发展,还是石油储备量的合理确定,都有十分重要的意义。Oil is an important strategic resource. From an economic and technical point of view, whether it is foreign cooperation, purchasing foreign oil fields through international bidding, or conducting domestic exploration to find new oil and gas areas and re-evaluating old oil fields, reservoir reserve evaluation is an important key technology to improve Reserve evaluation technology is of great significance not only for the development of national economy, but also for the reasonable determination of oil reserves.

储层的储量评价主要指储层含油气性的定量评价,其中利用测井资料来定量的评价储层的含油气性是一种重要的方法。目前,在储集层含油气性评价的测井资料综合定量解释中,传统的阿尔奇公式作为最基本的解释关系式具有举足轻重的地位,它是现在测井解释定量计算含油饱和度(So)的基础。The reserve evaluation of the reservoir mainly refers to the quantitative evaluation of the oil-gas content of the reservoir, and it is an important method to use the logging data to quantitatively evaluate the oil-gas content of the reservoir. At present, in the comprehensive quantitative interpretation of well logging data for reservoir oil and gas evaluation, the traditional Archie's formula plays a pivotal role as the most basic interpretation relation. Foundation.

传统的阿尔奇公式可表示为如下形式:The traditional Archie's formula can be expressed as follows:

II == RR tt RR Oo == bb SS WW nno -- -- -- (( 11 ))

式中,I-为电阻率增大系数(实数),In the formula, I- is the resistivity increase coefficient (real number),

R0-为地层百分百含水时的电阻率(电阻率单位为Ω·m),R 0 - is the resistivity when the formation contains 100% water (resistivity unit is Ω·m),

Rt-为地层电阻率(电阻率单位为Ω·m),R t - is formation resistivity (resistivity unit is Ω m),

SW-为地层含水饱和度(小数),S W - is the formation water saturation (decimal),

n-为饱和度指数(实数),n- is the saturation index (real number),

b-为阿尔奇参数(实数)。b- is the Archie parameter (real number).

但是,由于上述传统的阿尔奇公式是建立在纯砂岩岩石(具有较高的孔隙度)物理电性实验基础上的半理论半经验公式,因此其在实际应用上存在一定的局限性。此外,在岩电关系(即含水饱和度与电阻率增大系数之间的关系)的实验研究中发现了大量的非阿尔奇现象,即在双对数坐标下电阻率增大系数与含水饱和度(I-Sw)之间的关系并不是阿尔奇公式所描述的线性关系,而是出现弯曲现象。非阿尔奇现象包括两种:一种是I-Sw关系在双对数坐标下,随着含水饱和度的减小,逐渐偏向饱和度轴;另一种是I-Sw关系在双对数坐标下,随着含水饱和度的减小,逐渐偏离饱和度轴(如图1所示)。非阿尔奇现象是一类非常重要的现象,对于定量的评价储层的含油气性有着至关重要的影响,非阿尔奇现象的存在使得很难利用阿尔奇公式对储层含油气量进行准确评价。比如,对于存在第一种非阿尔奇现象的储层,如果利用阿尔奇公式进行含油气性评价,在相同条件下其含油气饱和度的解释结果会偏低,这就会造成许多油气层被漏掉;对于存在第二种非阿尔奇现象的储层,如果利用阿尔奇公式进行含油气性评价,在相同条件下其含油气饱和度的解释结果会偏高,这样就会把一些低产油层误认为高产油层,从而造成生产成本的浪费。因此,研究非阿尔奇现象的成因,建立相应的岩电关系模型是提高储层含油气定量评价准确性,提高储量计算精度的关键。However, since the above-mentioned traditional Archie formula is a semi-theoretical and semi-empirical formula based on physical and electrical experiments of pure sandstone rock (with high porosity), it has certain limitations in practical application. In addition, a large number of non-Archiian phenomena have been found in the experimental study of the lithoelectric relationship (that is, the relationship between water saturation and resistivity increase coefficient), that is, the relationship between resistivity increase coefficient and water saturation in log-logarithmic coordinates. The relationship between degrees (I-Sw) is not the linear relationship described by Archie's formula, but a bending phenomenon. There are two types of non-Archie phenomena: one is that the I-Sw relationship in the log-log coordinates gradually shifts to the saturation axis as the water saturation decreases; the other is the I-Sw relationship in the log-log coordinates In the lower case, as the water saturation decreases, it gradually deviates from the saturation axis (as shown in Figure 1). The non-Archie phenomenon is a very important phenomenon, which has a crucial impact on the quantitative evaluation of the oil and gas content of the reservoir. The existence of the non-Archie phenomenon makes it difficult to use the Archie formula to accurately evaluate the oil and gas content of the reservoir. . For example, for reservoirs with the first type of non-Archie phenomenon, if the Archie formula is used to evaluate the oil and gas content, the interpretation result of the oil and gas saturation under the same conditions will be low, which will cause many oil and gas layers to be For the reservoirs with the second non-Archie phenomenon, if the Archie formula is used to evaluate the oil and gas content, the interpretation result of the oil and gas saturation under the same conditions will be relatively high, which will make some low-production oil layers Mistaking it as a high-yield oil layer, resulting in a waste of production costs. Therefore, studying the causes of non-Archie phenomena and establishing corresponding rock-electricity relationship models are the key to improving the accuracy of quantitative evaluation of oil and gas in reservoirs and the accuracy of reserve calculation.

发明内容 Contents of the invention

有鉴于此,本发明的目的在于提供一种地层流体饱和度评价方法,通过一种新的岩电关系模型来更加准确地进行储层评价。In view of this, the purpose of the present invention is to provide a formation fluid saturation evaluation method, through a new rock-electricity relationship model to more accurately evaluate the reservoir.

为了实现上述目的,本发明的技术方案为:In order to achieve the above object, the technical solution of the present invention is:

一种地层流体饱和度评价方法,利用如下岩电关系模型评价地层流体饱和度:A method for evaluating formation fluid saturation, using the following rock-electricity relationship model to evaluate formation fluid saturation:

II == RR tt RR oo == SS WW -- USUS WW YY (( 11 -- VshVsh )) φφ cc ,,

其中,I为电阻率增大系数;R0为地层百分百含水时的电阻率,单位为Ω·m;Among them, I is the resistivity increase coefficient; R0 is the resistivity when the formation is 100% water-bearing, and the unit is Ω m;

Rt为地层电阻率,单位为Ω·m;SW为地层含水饱和度;φ为孔隙度;Vsh为泥质含量;U为润湿性指数;Y为参数;C为常数。R t is formation resistivity, unit is Ω m; SW is formation water saturation; φ is porosity; Vsh is shale content; U is wettability index; Y is parameter; C is constant.

对上述岩电关系模型,联合地层因素(F)和地层孔隙度(φ)之间的关系模型,即F=Ro/Rw=a/φm(此关系模型可参见测井资料解释相关方法),求解得到:For the above rock-electricity relationship model, the relationship model between formation factors (F) and formation porosity (φ) is combined, that is, F=R o /R w =a/φ m (for this relationship model, please refer to the relevant method), and get:

SS WW == ee WW (( ff (( φφ )) )) ·&Center Dot; φφ cc YY (( 11 -- VshVsh )) ,,

其中,

Figure C20061011274500062
W(·)为lambertW函数;a、m为参数(实数);in,
Figure C20061011274500062
W( ) is lambertW function; a, m are parameters (real numbers);

RX为地层水的电阻率,单位为Ω·m;RX is the resistivity of formation water, in Ω m;

地层含油气饱和度So=1-Sw。Formation oil and gas saturation So=1-Sw.

不考虑泥质含量变化时,所述岩电关系等效为

Figure C20061011274500063
When the change of shale content is not considered, the rock-electricity relationship is equivalent to
Figure C20061011274500063

不考虑泥质含量和孔隙度的变化时,所述岩电关系等效为

Figure C20061011274500064
其中d为实数;When the change of shale content and porosity is not considered, the rock-electricity relationship is equivalent to
Figure C20061011274500064
where d is a real number;

不考虑孔隙度的影响时,所述岩电关系等效为

Figure C20061011274500065
When the influence of porosity is not considered, the rock-electricity relationship is equivalent to
Figure C20061011274500065

不考虑润湿性的影响时,上述各岩电关系分别等效为

Figure C20061011274500066
Figure C20061011274500068
Figure C20061011274500069
即When the influence of wettability is not considered, the above rock-electric relations are equivalent to
Figure C20061011274500066
Figure C20061011274500068
Figure C20061011274500069
Right now

不考虑润湿性的影响时,所述岩电关系等效为

Figure C200610112745000610
When the influence of wettability is not considered, the lithoelectric relationship is equivalent to
Figure C200610112745000610

不考虑泥质含量及润湿性的影响时,所述岩电关系等效为

Figure C200610112745000611
When the influence of shale content and wettability is not considered, the rock-electricity relationship is equivalent to
Figure C200610112745000611

不考虑泥质含量、孔隙度和润湿性的影响时,所述岩电关系等效为 I = R t R o = - S W - S W d ; When the effects of shale content, porosity and wettability are not considered, the rock-electricity relationship is equivalent to I = R t R o = - S W - S W d ;

不考虑孔隙度和润湿性的影响时,所述岩电关系等效为

Figure C200610112745000613
When the effects of porosity and wettability are not considered, the rock-electricity relationship is equivalent to
Figure C200610112745000613

一般所述常数C的取值在-20到20之间。Generally, the value of the constant C is between -20 and 20.

优选地所述常数C为1/2。Preferably, the constant C is 1/2.

本发明的地层流体饱和度评价方法提供了一种适用于非阿尔奇现象及阿尔奇现象的岩电关系模型,反映了饱和度本身分布形式、润湿性、泥质含量、孔隙度对岩电关系的影响,可有效提高储层含油气评价的准确性,降低了油气的勘探风险。The formation fluid saturation evaluation method of the present invention provides a rock-electricity relationship model suitable for non-Archie phenomena and Archie phenomena, reflecting the distribution of saturation itself, wettability, shale content, and porosity. The impact of the relationship can effectively improve the accuracy of reservoir oil and gas evaluation and reduce the risk of oil and gas exploration.

附图说明 Description of drawings

图1为现有岩电关系实验中发现的阿尔奇现象及非阿尔奇现象曲线图;Fig. 1 is a curve diagram of Archie phenomenon and non-Archie phenomenon found in existing rock-electricity relationship experiments;

图2为岩石物理实验中泥质含量引起的电阻率增大系数的变化图;Fig. 2 is a graph showing the variation of resistivity increase coefficient caused by shale content in rock physics experiments;

图3为岩石物理实验中孔隙度引起的电阻率增大系数的变化图;Fig. 3 is a graph showing the variation of resistivity increase coefficient caused by porosity in rock physics experiments;

图4为岩石物理实验中润湿性引起的电阻率增大系数的变化图;Fig. 4 is a change diagram of resistivity increase coefficient caused by wettability in rock physics experiments;

图5a为C取-20时本发明的岩电关系曲线与实验数据的关系图;Fig. 5 a is the relationship figure of the rock-electricity relation curve of the present invention and experimental data when C gets-20;

图5b为C取-2时本发明的岩电关系曲线与实验数据的关系图;Fig. 5 b is the relationship diagram of the rock-electricity relationship curve of the present invention and the experimental data when C gets -2;

图5c为C取1/10时本发明的岩电关系曲线与实验数据的关系图;Fig. 5c is the relationship diagram of the rock-electricity relationship curve and experimental data of the present invention when C is 1/10;

图5d为C取1/3时本发明的岩电关系曲线与实验数据的关系图;Fig. 5 d is the relationship diagram between the rock-electricity relationship curve and the experimental data of the present invention when C is 1/3;

图5e为C取1/2时本发明的岩电关系曲线与实验数据的关系图;Fig. 5 e is the relationship diagram of the rock-electricity relationship curve and experimental data of the present invention when C gets 1/2;

图5f为C取3/2时本发明的岩电关系曲线与实验数据的关系图;Fig. 5 f is the relationship diagram of the rock-electricity relationship curve and experimental data of the present invention when C is 3/2;

图5g为C取9时本发明的岩电关系曲线与实验数据的关系图;Fig. 5 g is the relationship diagram of the rock-electricity relationship curve and experimental data of the present invention when C is 9;

图5h为C取20时本发明的岩电关系曲线与实验数据的关系图;Fig. 5h is the relationship diagram of the rock-electricity relationship curve and experimental data of the present invention when C is 20;

图6为本发明实施例1中实验数据与阿尔奇公式的吻合图;Fig. 6 is the matching figure of experimental data and Archie's formula in the embodiment of the present invention 1;

图7为本发明实施例1中实验数据与新的岩电关系模型的吻合图;Fig. 7 is the matching figure of experimental data and new rock-electricity relationship model in the embodiment of the present invention 1;

图8为本发明实施例1中利用测井技术得到的地层电阻率Rt与其测量点相对地面深度的关系图。FIG. 8 is a graph showing the relationship between the formation resistivity Rt and the depth of the measurement point relative to the surface obtained by logging technology in Example 1 of the present invention.

图9为本发明实施例1中利用新的岩电关系得到的含油饱和度结果图。Fig. 9 is a graph of oil saturation results obtained by using the new rock-electricity relationship in Example 1 of the present invention.

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,下面结合附图对本发明的具体实施例进行详细说明。In order to make the object, technical solution and advantages of the present invention clearer, specific embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings.

本发明提出了一种适用于非阿尔奇现象的地层流体饱和度评价方法,该方法可以反映非阿尔奇现象的影响,通过一种新的岩电关系模型可准确地对地层油气含量进行评价,即可以有效的提高储层含油气评价的准确性,从而降低油气的勘探风险。The present invention proposes a formation fluid saturation evaluation method applicable to non-Archie phenomena, which can reflect the influence of non-Archie phenomena, and can accurately evaluate formation oil and gas content through a new rock-electricity relationship model, That is, it can effectively improve the accuracy of reservoir oil and gas evaluation, thereby reducing the risk of oil and gas exploration.

通过大量的岩石物理实验,发明人发现电阻率增大系数(I)与地层含水饱和度(Sw)间的关系并不是阿尔奇所描述的在双对数坐标中的线性关系,而且流体饱和度、孔隙度、润湿性、泥质含量等因素均可造成非阿尔奇现象的产生,即电阻率增大系数不仅与流体饱和度有关,而且还和孔隙度、润湿性、泥质含量等因素有关。图2至图4分别为岩石物理实验中泥质含量、孔隙度以及润湿性对电阻率增大系数的影响关系图。如图2所示,泥质含量低时能较好的符合阿尔奇公式,而泥质含量越低,越偏离阿尔奇现象。如图3所示,岩石孔隙度较高时,电阻率增大系数(I)与地层含水饱和度(Sw)之间还能较好的吻合阿尔奇现象,随着岩石孔隙度的降低,逐渐呈现出非阿尔奇现象。同样,如图4所示,随着润湿性的变化,电阻率增大系数(I)也随着改变,不同的润湿性可产生不同的非阿尔奇现象。Through a large number of petrophysical experiments, the inventor found that the relationship between the resistivity increase coefficient (I) and the formation water saturation (Sw) is not the linear relationship in the logarithmic coordinates described by Archie, and the fluid saturation , porosity, wettability, shale content and other factors can cause non-Archie phenomenon, that is, the resistivity increase coefficient is not only related to fluid saturation, but also to porosity, wettability, shale content, etc. factors. Figures 2 to 4 are the relationship diagrams of the influence of shale content, porosity and wettability on the resistivity increase coefficient in rock physics experiments. As shown in Figure 2, when the shale content is low, the Archie's formula can be better met, and the lower the shale content, the more it deviates from the Archie's phenomenon. As shown in Fig. 3, when the rock porosity is high, the relationship between the resistivity increase coefficient (I) and the formation water saturation (Sw) can be well consistent with the Archie phenomenon, and as the rock porosity decreases, gradually exhibits a non-Archie phenomenon. Similarly, as shown in Figure 4, as the wettability changes, the resistivity increase coefficient (I) also changes, and different wettability can produce different non-Archie phenomena.

本发明在上述大量岩石物理实验的基础上,通过数值模拟实验对上面的各因素进行了单因素实验分析,确定了阿尔奇公式中的饱和度指数n不为常数,而是以上各因素的函数。通过对各单因素分析测量结果进行统计分析,确定其函数形式为

Figure C20061011274500081
从而确定本发明的岩电关系模型,即On the basis of the above-mentioned large amount of petrophysical experiments, the present invention has carried out single-factor experimental analysis to the above factors through numerical simulation experiments, and determined that the saturation index n in the Archie's formula is not a constant, but a function of the above factors . Through the statistical analysis of the measurement results of each single factor analysis, it is determined that the function form is
Figure C20061011274500081
Thereby determine the rock-electricity relationship model of the present invention, i.e.

II == RR tt RR oo == SS WW -- USUS WW YY (( 11 -- VshVsh )) φφ CC -- -- -- (( 22 ))

公式(2)中,I-为电阻率增大系数(实数);In formula (2), I- is resistivity increase coefficient (real number);

R0-为地层百分百含水时的电阻率(电阻率单位为Ω·m);R 0 - is the resistivity when the formation is 100% water-containing (resistivity unit is Ω·m);

Rt-为地层电阻率(电阻率单位为Ω·m);R t - is formation resistivity (resistivity unit is Ω m);

Sw-为地层含水饱和度(小数,或百分数,百分数=小数×100%);Sw- is formation water saturation (decimal, or percentage, percentage=decimal×100%);

So-为地层含油气饱和度(小数,或百分数,百分数=小数×100%);So- is the oil and gas saturation of the formation (decimal, or percentage, percentage=decimal×100%);

φ-为孔隙度(小数);φ- is the porosity (decimal);

Vsh-为泥质含量(小数);Vsh- is mud content (decimal);

U-为润湿性指数(实数);U- is the wettability index (real number);

Y-为参数(实数);Y- is a parameter (real number);

C-为常数(实数)。C- is a constant (real number).

通过联合地层因素(F)和地层孔隙度(φ)之间的关系模型,即F=Ro/Rw=a/φm(此关系模型可参见测井资料解释相关方法)对公式(2)进行求解,可以得到:The formula ( 2 ) to solve, we can get:

SS WW == ee WW (( ff (( φφ )) )) ·· φφ cc YY (( 11 -- VshVsh )) ,, -- -- -- (( 33 ))

式中,

Figure C20061011274500092
W(·)为lambertW函数。Rw为地层水的电阻率(单位为Ω·m);a、m-为参数。In the formula,
Figure C20061011274500092
W(·) is the lambertW function. Rw is the resistivity of formation water (unit: Ω·m); a, m- are parameters.

基于实际的物理试验和数值模拟,本发明的新的岩电关系模型中常数C的取值在理论上可以取任何值都能够使该岩点关系与实验中的非阿尔奇现象有较好的吻合,但对于不同地区,地层岩石的特性和孔隙结构特征不同,并且计算机的可计算精度有限,再考虑到计算的复杂度,因此在实际的岩电关系模型的建立中应当对C的值进行优选。优选时可主要考虑如下因素:(1)C的选择可充分显现孔隙度φ的影响;(2)C的选择应当使φC在适当的可计算精度范围内;(3)C的选择应当使Y在适当的可计算精度范围内;(4)C的选择应当使φC便于计算。Based on actual physical tests and numerical simulations, the value of constant C in the new rock-electricity relationship model of the present invention can take any value in theory and can make this rock point relationship and the non-Archie phenomenon in the experiment have better However, for different regions, the characteristics of formation rocks and pore structure characteristics are different, and the calculation accuracy of the computer is limited, and considering the complexity of the calculation, the value of C should be adjusted in the establishment of the actual rock-electricity relationship model. preferred. The following factors can be mainly considered when optimizing: (1) the selection of C can fully show the influence of porosity φ; (2) the selection of C should make φ C within the appropriate calculable accuracy range; (3) the selection of C should make Y is within the appropriate calculable accuracy range; (4) The choice of C should make φ C easy to calculate.

下面对常数C的选择进行举例说明。一般来说,地层孔隙度变化范围在0.4~0.01之间,因此以此区间为例进行分析。表1为某一地区的数据分析表,用以确定C的优选值(表1的数据用以说明本发明,而非用于限制本发明)。从表1中可以分析:1.当C值过小时(如C=0.001)时,φC几乎不随孔隙度φ的变化发生变化,几乎为一个常数(φC 0.99),此时孔隙度的影响被削弱了,本实施例在需要充分考虑孔隙度的影响的情况下可将表中0.1、0.01、0.001这三个C值排除;2.当C值过大时(如C=10),φC非常小(如φC=1E-20=1×10-20),几乎为0,已经超出了计算机的可计算精度范围,因此考虑到计算机的计算精度及合适的φC的值,本实施例可将表中C=10和C=2这两个值排除;3.另外,C的选择还应当使Y在适当的精度范围内,表中当C<0.6时,Y>0.1,此时Y在适当范围内,能够保证计算机计算的精度,由此可以将表1中的1和0.7这两个C值排除;4.另外,考虑到φC的计算难度,显然在0.6(即3/5)、0.5(即1/2)和0.3(即3/10)这3个C值中,C=1/2时的φC(即

Figure C20061011274500101
)更易于计算,因此本实施例中可选择C为3/5,1/2、及3/10中的一个,优选地,本实施例选择C为1/2。The selection of the constant C is illustrated below with an example. Generally speaking, the variation range of formation porosity is between 0.4 and 0.01, so this range is taken as an example for analysis. Table 1 is a data analysis table for a certain region, which is used to determine the preferred value of C (the data in Table 1 is used to illustrate the present invention, but not to limit the present invention). Can analyze from table 1: 1. when C value is too small (as C=0.001), φ C hardly changes with the change of porosity φ, is almost a constant (φ C 0.99), the influence of porosity this moment Weakened, this embodiment can exclude these three C values of 0.1, 0.01, and 0.001 in the table under the situation that the influence of porosity needs to be fully considered; 2. When the C value is too large (such as C=10), φ C is very small (such as φ C =1E-20=1×10 -20 ), almost 0, which has exceeded the calculation accuracy range of the computer. Therefore, considering the calculation accuracy of the computer and the appropriate value of φ C , this implementation For example, the two values C=10 and C=2 in the table can be excluded; 3. In addition, the choice of C should also make Y within the appropriate range of precision. When C<0.6 in the table, Y>0.1, at this time Y is within an appropriate range, which can ensure the accuracy of computer calculations, so the two C values of 1 and 0.7 in Table 1 can be excluded; 4. In addition, considering the difficulty of calculating φ C , it is obvious that 0.6 (that is, 3/ 5), 0.5 (i.e. 1/2) and 0.3 (i.e. 3/10), the φ C when C=1/2 (i.e.
Figure C20061011274500101
) is easier to calculate, so in this embodiment, C can be selected as one of 3/5, 1/2, and 3/10. Preferably, in this embodiment, C is selected as 1/2.

表1.Table 1.

Figure C20061011274500102
Figure C20061011274500102

如上对C的取值的选择仅用于说明本发明,而非用于限制本发明。一般地,常数C的取值可在-20到20之间。对于不同地区及不同地层特性的实验数据,可对应有不同的C的取值范围及优选C值,当计算机或其它相应计算工具的精度变化时,C的取值范围也可能会有不同(如计算精度的提高,常数C可以在更大的范围内取值)。The above selection of the value of C is only used to illustrate the present invention, but not to limit the present invention. Generally, the value of the constant C may be between -20 and 20. For the experimental data of different regions and different formation characteristics, there may be different C value ranges and preferred C values. When the accuracy of the computer or other corresponding calculation tools changes, the C value range may also be different (such as With the improvement of calculation accuracy, the constant C can take values in a larger range).

图5a至图5h分别为对应于C取不同数值时(如C分别取-20,-2,1/10,1/3,1/2,3/2,9,20时)根据公式(3)获得的电阻率增大系数(I)与地层含水饱和度(Sw)的关系曲线图与实验数据的吻合情况,可见C可适用于不同的数值,在C取-20,-2,1/10,1/3,1/2,3/2,9,及20时都可以与实验数据较好的吻合。Fig. 5a to Fig. 5h respectively are corresponding to when C takes different numerical values (as C take respectively -20, -2, 1/10, 1/3, 1/2, 3/2, 9, 20) according to the formula (3 ) obtained by the resistivity increase coefficient (I) and formation water saturation (Sw) relationship curve and the experimental data, it can be seen that C can be applied to different values, and C takes -20, -2, 1/ 10, 1/3, 1/2, 3/2, 9, and 20 o'clock can all agree well with the experimental data.

在本发明的新的岩电关系模型中,在C=1/2时:In the new rock-electricity relationship model of the present invention, when C=1/2:

II == RR tt RR oo == SS WW -- USUS WW YY (( 11 -- VshVsh )) &phi;&phi; ,, -- -- -- (( 44 ))

SS WW == ee WW (( ff (( &phi;&phi; )) )) &CenterDot;&CenterDot; &phi;&phi; YY (( 11 -- VshVsh )) ,,

式中,W(·)为lambertW函数。In the formula, W(·) is the lambertW function.

本发明提出的新的岩电关系的模型反映了流体饱和度、孔隙度、润湿性、泥质含量等因素对岩电关系的影响。该模型所提供的电阻率增大系数(I)与地层含水饱和度(Sw)间的关系,与岩电实验中的非阿尔奇现象吻合得很好,可准确地对地层油气含量进行评价(地层油气含量So=1-Sw)。The new rock-electricity relationship model proposed by the invention reflects the influence of fluid saturation, porosity, wettability, shale content and other factors on the rock-electricity relationship. The relationship between the resistivity increase coefficient (I) and formation water saturation (Sw) provided by the model is in good agreement with the non-Archie phenomenon in rock-electric experiments, and can accurately evaluate formation oil and gas content ( Formation oil and gas content So=1-Sw).

下面举例说明如何根据本发明的岩电关系模型来进行地层流体饱和度(如含油气饱和度)的评价。The following example illustrates how to evaluate formation fluid saturation (such as oil-gas saturation) according to the rock-electricity relationship model of the present invention.

实施例1Example 1

首先利用岩电实验测量,得到岩心在完全饱和水时的电阻率资料Ro,然后得到岩心在不同含水饱和度(Sw,且Sw+So=1)时的电阻率数据Rt,利用Rt和Ro的比值计算出电阻率增大系数I,为了使本发明的适用效果更好,在测量时,饱和度的分布范围应当取得广泛一些,可在含水饱和度为0.1左右应当进行相应测量。Firstly, the resistivity data Ro of the core is obtained when the core is completely saturated with water by rock electric experiment measurement, and then the resistivity data Rt of the core at different water saturations (Sw, and Sw+So=1) is obtained, and the value of Rt and Ro is used Ratio calculates the resistivity increase coefficient I, in order to make the applicable effect of the present invention better, when measuring, the distribution range of saturation should obtain wider, can be about 0.1 and should carry out corresponding measurement when water saturation.

例如:取一块岩心,其泥质含量Vsh=0,孔隙度φ=0.09。For example: take a piece of core, its shale content Vsh=0, porosity φ=0.09.

测得其完全饱和水时的电阻率为:The resistivity when it is fully saturated with water is measured as:

Ro=147.5Ω·mRo=147.5Ω·m

然后根据岩心在不同含水饱和度(Sw,且Sw+So=1)时的电阻率数据Rt,利用Rt和Ro的比值计算出电阻率增大系数I,表2为本实施例的岩电实验测量结果:Then according to the resistivity data Rt of the rock core at different water saturations (Sw, and Sw+So=1), the ratio of Rt and Ro is used to calculate the resistivity increase coefficient I, and table 2 is the rock electric experiment of the present embodiment Measurement result:

表2.Table 2.

Figure C20061011274500121
Figure C20061011274500121

分别利用阿尔奇公式和本发明的岩电关系模型(本实施例中取C=1/2,即岩电关系为)对表2中的数据进行分析,其结果分别如图6和图7所示。由图6及图7可见,传统阿尔奇公式(图6中斜线)与实验数据(图6中菱形点)存在较大误差,而本发明岩电关系模型(图7中曲线)与实验数据(图7中菱形点)吻合很好。Utilize Archie's formula and rock-electricity relationship model of the present invention respectively (in this embodiment, get C=1/2, promptly rock-electricity relationship is ) to analyze the data in Table 2, and the results are shown in Figure 6 and Figure 7 respectively. As can be seen from Fig. 6 and Fig. 7, there is a large error between the traditional Archie's formula (oblique line in Fig. 6) and the experimental data (rhombic point in Fig. 6), while the rock-electricity relationship model of the present invention (the curve in Fig. (Rhombic point in Figure 7) fit very well.

根据得到的这些数据,并利用本发明提供的新的岩电关系模型,可以得到参数Y和U的值。例如得到:U=3.47,Y=0.14。对同一岩心,由于φ值确定,C取任何值时,都可以得到一对应的Y值,因此C取任何值时本实施例的岩电关系模型都能够与实验数据很好的吻合。According to these obtained data, and utilizing the new rock-electricity relationship model provided by the present invention, the values of parameters Y and U can be obtained. For example, it is obtained: U=3.47, Y=0.14. For the same core, since the value of φ is determined, when C takes any value, a corresponding Y value can be obtained, so when C takes any value, the rock-electricity relationship model of this embodiment can be well matched with the experimental data.

在确定了Y和U后,利用由测井技术得到的地下储层Rt资料(如图8所示),After determining Y and U, using the underground reservoir Rt data obtained by logging technology (as shown in Fig. 8),

并通过对该岩心所在地区大量测井资料的分析可以得到该地区适用的地层水电阻率Rw(例如Rw=0.12Ωm,具体分析方法参阅测井资料处理相关技术),从而可以得到的值,其中a、m为确定地层因素F和孔隙度φ之间关系的参数(即F=a/φm),其值的确定方法参阅测井资料处理相关技术。And through the analysis of a large amount of logging data in the area where the core is located, the applicable formation water resistivity Rw in this area can be obtained (for example, Rw = 0.12Ωm, the specific analysis method can refer to the related technology of logging data processing), so as to obtain where a and m are the parameters to determine the relationship between the formation factor F and the porosity φ (ie F=a/φm), and the determination method of its value can refer to the related technologies of well logging data processing.

然后可以利用本发明提供的岩电模型解出的含水饱和度计算式及其相关参数(U、Y、

Figure C20061011274500131
等),来定量计算地下储层中的流体饱和度情况,从而对储层的含油气量进行定量的评价。对含油气量的计算结果如图9所示。Then the water saturation calculation formula and related parameters (U, Y,
Figure C20061011274500131
etc.), to quantitatively calculate the fluid saturation in the underground reservoir, so as to quantitatively evaluate the oil and gas content of the reservoir. The calculation results of oil and gas content are shown in Fig. 9.

利用本发明的新的岩电关系模型来评价地层流体饱和度,可以准确地对地层油气含量进行评价,可以有效的提高储层含油气评价的准确性,从而降低油气的勘探风险。Utilizing the new rock-electricity relationship model of the present invention to evaluate formation fluid saturation can accurately evaluate formation oil and gas content, can effectively improve the accuracy of reservoir oil and gas evaluation, thereby reducing oil and gas exploration risks.

需要说明的是,本发明的岩电关系模型并不局限于公式(2)的形式,而是可以有不同的等效形式。例如:It should be noted that the rock-electricity relationship model of the present invention is not limited to the form of formula (2), but may have different equivalent forms. For example:

I.当不考虑泥质含量变化时,所述岩电关系等效为

Figure C20061011274500132
优选地,C=1/2时,
Figure C20061011274500133
I. When shale content changes are not considered, the rock-electricity relationship is equivalent to
Figure C20061011274500132
Preferably, when C=1/2,
Figure C20061011274500133

II.当不考虑泥质含量和孔隙度的变化时,或者当

Figure C20061011274500134
以参数d的形式表示时,所述岩电关系等效为
Figure C20061011274500135
(不考虑泥质含量和孔隙度的变化时,d为实数);II. When changes in shale content and porosity are not considered, or when
Figure C20061011274500134
When expressed in the form of parameter d, the rock-electricity relationship is equivalent to
Figure C20061011274500135
(d is a real number when changes in shale content and porosity are not considered);

III.当不考虑孔隙度的影响时,所述岩电关系等效为

Figure C20061011274500136
III. When the influence of porosity is not considered, the rock-electric relationship is equivalent to
Figure C20061011274500136

IV.以上各式(包括公式(2)),不考虑润湿性的影响(即不包含U)时,分别等效为

Figure C20061011274500138
Figure C20061011274500139
IV. The above formulas (including formula (2)), without considering the influence of wettability (that is, not including U), are equivalent to
Figure C20061011274500138
Figure C20061011274500139

以上各式中,采用的符号发生变化时而形成的等效形式同样适用于本发明。In the above formulas, the equivalent forms formed when the symbols used are changed are also applicable to the present invention.

在传统的阿尔奇公式中,饱和度指数n为常数,而本发明的岩电关系模型中,饱和度指数n是流体饱和度、孔隙度、润湿性、泥质含量等因素的函数,其反映了饱和度本身分布形式、润湿性、泥质含量、孔隙度中一个或多个因素对岩电关系的影响。考虑的因素不同时,饱和度指数可以具有不同的形式。例如:In the traditional Archie's formula, the saturation index n is a constant, but in the rock-electricity relationship model of the present invention, the saturation index n is a function of factors such as fluid saturation, porosity, wettability, shale content, etc., its It reflects the influence of one or more factors in the distribution form of saturation itself, wettability, shale content, and porosity on the rock-electricity relationship. Depending on the factors considered, the saturation index can have different forms. For example:

I.综合考虑流体饱和度、孔隙度、润湿性、泥质含量等因素影响时,

Figure C20061011274500141
优选地,C=1/2时,
Figure C20061011274500142
I. Considering the effects of fluid saturation, porosity, wettability, mud content and other factors comprehensively,
Figure C20061011274500141
Preferably, when C=1/2,
Figure C20061011274500142

II.当不考虑泥质含量变化时,

Figure C20061011274500143
优选地,C=1/2时,
Figure C20061011274500144
II. When shale content changes are not considered,
Figure C20061011274500143
Preferably, when C=1/2,
Figure C20061011274500144

III.当不考虑孔隙度的影响时,

Figure C20061011274500145
III. When the effect of porosity is not considered,
Figure C20061011274500145

IV.当不考虑泥质含量和孔隙度的变化时,或者当以参数d的形式表示时,

Figure C20061011274500147
(不考虑泥质含量和孔隙度的变化时,d为实数);IV. When changes in shale content and porosity are not considered, or when When expressed in the form of parameter d,
Figure C20061011274500147
(d is a real number when changes in shale content and porosity are not considered);

V.以上各式中,不考虑润湿性的影响(即不包含U)时的形式。V. In the above formulas, the form when the influence of wettability (that is, U is not included) is not considered.

以上各式中,采用的符号发生变化时而形成的饱和度指数的等效形式同样适用于本发明。In the above formulas, the equivalent form of the saturation index formed when the sign used changes is also applicable to the present invention.

本发明提出的新的岩电关系模型反映了润湿性、泥质含量等因素对岩电关系的影响,能够从整体上反映岩电关系的非阿尔奇规律。传统的阿尔奇公式是本发明的岩电关系模型在一定条件下的特例(如时),即本发明不仅适用于阿尔奇现象,同时在阿尔奇公式不能适用的情况下,本发明依然适用。The new rock-electricity relationship model proposed by the invention reflects the influence of factors such as wettability and shale content on the rock-electricity relationship, and can reflect the non-Archie law of the rock-electricity relationship as a whole. Traditional Archie's formula is a special case of the rock-electricity relationship model of the present invention under certain conditions (such as ), that is, the present invention is not only applicable to the Archie phenomenon, but also the present invention is still applicable when the Archie's formula cannot be applied.

综上所述,通过本发明提出的反映非阿尔奇现象的岩电关系模型,可以实现更加准确地对地层油气含量的评价,有效地降低了油气的勘探风险,从而避免了生产成本的浪费。In summary, through the rock-electricity relationship model reflecting the non-Archie phenomenon proposed by the present invention, more accurate evaluation of formation oil and gas content can be realized, effectively reducing oil and gas exploration risks, thereby avoiding waste of production costs.

以上具体实施方式仅用于说明本发明,而非用于限定本发明。凡在本发明的精神和原则之内,所做的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above specific embodiments are only used to illustrate the present invention, but not to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.

Claims (4)

1.一种地层流体饱和度评价方法,其特征在于:1. A formation fluid saturation evaluation method, characterized in that: 利用如下岩电关系模型评价地层流体饱和度:The following rock-electricity relationship model is used to evaluate formation fluid saturation: II == RR tt RR oo == SS WW -- USUS WW YY (( 11 -- VshVsh )) &phi;&phi; cc ,, 其中,I为电阻率增大系数;R0为地层百分百含水时的电阻率,单位为Ω·m;Rt为地层电阻率,单位为Ω·m;SW为地层含水饱和度;φ为孔隙度;Vsh为泥质含量;U为润湿性指数;Y为参数;C为常数;Among them, I is the resistivity increase coefficient; R0 is the resistivity when the formation is 100% water-bearing, the unit is Ω m; R t is the formation resistivity, the unit is Ω m; S W is the water saturation of the formation; φ is porosity; Vsh is shale content; U is wettability index; Y is parameter; C is constant; 对所述岩电关系模型联合地层因素F和地层孔隙度φ之间的关系模型F=Ro/Rw=a/φm,求解得到:For the rock-electricity relationship model combined with the relationship model F=R o /R w =a/φ m between the formation factor F and the formation porosity φ, the solution is obtained: SS WW == ee WW (( ff (( &phi;&phi; )) )) &CenterDot;&Center Dot; &phi;&phi; cc YY (( 11 -- VshVsh )) ,, 其中, f ( &phi; ) = Y ( 1 - Vsh ) U &phi; c &CenterDot; ln a R W R t &phi; m , W(·)为lambertW函数;a、m为参数;in, f ( &phi; ) = Y ( 1 - Vsh ) u &phi; c &Center Dot; ln a R W R t &phi; m , W(·) is lambertW function; a, m are parameters; RW为地层水的电阻率,单位为Ω·m;R W is the resistivity of formation water, in Ω m; 地层含油气饱和度So=1-Sw。Formation oil and gas saturation So=1-Sw. 2.根据权利要求1所述的方法,其特征在于:2. The method according to claim 1, characterized in that: 不考虑泥质含量的影响时,所述岩电关系等效为 I = R t R o = S W - US W Y &phi; c ; When the influence of shale content is not considered, the rock-electricity relationship is equivalent to I = R t R o = S W - US W Y &phi; c ; 不考虑泥质含量和孔隙度的影响时,所述岩电关系等效为 I = R t R o = S W - US W d , 其中d为实数;When the effects of shale content and porosity are not considered, the rock-electricity relationship is equivalent to I = R t R o = S W - US W d , where d is a real number; 不考虑孔隙度的影响时,所述岩电关系等效为 I = R t R o = S W - U S W Y ( 1 - Vsh ) . When the influence of porosity is not considered, the rock-electricity relationship is equivalent to I = R t R o = S W - u S W Y ( 1 - Vsh ) . 3.根据权利要求1所述的方法,其特征在于:3. The method according to claim 1, characterized in that: 不考虑润湿性的影响时,所述岩电关系等效为 I = R t R o = S W - S W Y ( 1 - Vsh ) &phi; c ; When the influence of wettability is not considered, the lithoelectric relationship is equivalent to I = R t R o = S W - S W Y ( 1 - Vsh ) &phi; c ; 不考虑泥质含量及润湿性的影响时,所述岩电关系等效为 I = R t R o = S W - S W Y &phi; c ; When the influence of shale content and wettability is not considered, the rock-electricity relationship is equivalent to I = R t R o = S W - S W Y &phi; c ; 不考虑泥质含量、孔隙度和润湿性的影响时,所述岩电关系等效为 I = R t R o = S W - S W d ; When the effects of shale content, porosity and wettability are not considered, the rock-electricity relationship is equivalent to I = R t R o = S W - S W d ; 不考虑孔隙度和润湿性的影响时,所述岩电关系等效为 I = R t R o = S W - S W Y ( 1 - Vsh ) . When the effects of porosity and wettability are not considered, the rock-electricity relationship is equivalent to I = R t R o = S W - S W Y ( 1 - Vsh ) . 4.根据权利要求1-3中任意一项所述的方法,其特征在于:4. The method according to any one of claims 1-3, characterized in that: 所述常数C的取值在-20到20之间。The value of the constant C is between -20 and 20.
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