CN102900430A - Pumping pressure interference elimination method for drilling fluid continuous pressure wave signals - Google Patents
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Abstract
本发明提供了一种钻井液连续压力波信号的泵压干扰消除方法,采用两个压力传感器安装在直管道上并相距一段距离,直管道一端与钻井液泵连接,另一端与井口连接,反映井下随钻测量信息的井下钻井液压力信号由井口通过直管道传输到地面并被安装在直管道上的压力传感器接收,将两个压力传感器的测量信号相减得到延迟差动检测信号,由于泵压力干扰的传输方向与井下钻井液压力信号传输方向相反,因此钻井液泵产生的压力干扰在这一过程中被消除,延迟差动检测信号中已无泵压干扰成分,而延迟差动检测信号中包含的井下钻井液压力信号通过基于时域差分方程或基于傅里叶变换的信号重构方法得以恢复,从而达到消除信号中的泵压干扰影响,提高信号信噪比的目的。
The invention provides a pump pressure interference elimination method for drilling fluid continuous pressure wave signal. Two pressure sensors are installed on a straight pipeline with a certain distance apart. One end of the straight pipeline is connected with the drilling fluid pump, and the other end is connected with the wellhead, reflecting The downhole drilling fluid pressure signal of downhole measurement information while drilling is transmitted from the wellhead to the ground through a straight pipeline and received by a pressure sensor installed on the straight pipeline. The measured signals of the two pressure sensors are subtracted to obtain a delayed differential detection signal. The transmission direction of the pressure interference is opposite to that of the downhole drilling fluid pressure signal, so the pressure interference generated by the drilling fluid pump is eliminated in this process, and there is no pump pressure interference component in the delayed differential detection signal, while the delayed differential detection signal The downhole drilling fluid pressure signal included in the model can be restored by the signal reconstruction method based on time domain difference equation or Fourier transform, so as to eliminate the influence of pump pressure interference in the signal and improve the signal-to-noise ratio.
Description
技术领域: Technical field:
本发明涉及一种油气钻井过程中的随钻测量/随钻测井上传信号的处理方法,特别涉及一种基于钻井液进行井下数据传输的钻井液连续压力波信号的泵压力干扰消除方法。The invention relates to a processing method of measurement-while-drilling/logging-while-drilling uploaded signals during oil and gas drilling, and in particular to a method for eliminating pump pressure interference of drilling fluid continuous pressure wave signals for downhole data transmission based on drilling fluid.
背景技术: Background technique:
井下随钻测量/随钻测井(MWD/LWD)是一种在钻井过程中实时测量及传输井下信息的现代钻井辅助技术。钻井过程中,钻井液由地表通过钻柱被泵入井下,从钻头水眼喷出用于钻头的润滑和冷却并通过井壁与钻柱的环型空间向上返出井口,MWD/LWD工具安装在钻头上部的钻铤内,见附图1。在MWD/LWD工具中,安装在近钻头钻柱中的传感器获得测量数据并通过钻井液压力信息遥测系统传输到地面,信息遥测通过对钻柱内的钻井液压力进行调制及压力波在钻柱中的传播来传输井下随钻测量/随钻测井数据。压力信息遥测通常采用基带压力脉冲或连续压力波来传输井下信息,其中连续压力波具有比基带压力脉冲高得多的井下信息传输速率,是压力信息遥测技术的发展方向;连续压力波信号主要有钻井液压力差分相移键控(DPSK)信号和正交相移键控(QPSK)信号,信号频谱集中,具有频带传输的特点。钻井液压力信号自井底向地面传输及地面信号检测过程中会遇到很大的噪声与干扰,其中对信号影响最大的是钻井液泵产生的压力脉动干扰。钻井液泵产生的压力干扰与泵冲速率有关,包括基波和高次谐波,当钻井液泵各缸活塞存在密封问题造成工作的不平衡或泵处于非正常工作状态时,某些高次谐波的幅值会变得很大,尽管钻井液泵管路均安装有压力缓冲器或阻尼器,但钻井液泵产生的压力脉动仍可达到或超过地面立管检测到的井下钻井液压力信号强度,这些高次谐波会进入钻井液连续压力波信号的频带产生极大的干扰,使得信号的信噪比严重降低,从而影响井下随钻测量信号的提取。目前的钻井液压力信号检测主要采用一个压力传感器安装在地面立管处测量钻井液压力,采用的信号处理方法,如匹配滤波器法、自适应补偿法、小波分析法等主要针对传输速率较低的以基带方式传输的压力信号;而对于传输速率相对较高的钻井液连续压力波信号,由于信号具有频带传输特点,钻井液泵产生的压力干扰极易进入信号频带,上述井下钻井液压力信号的检测与处理方法均无法有效消除已进入信号频带的钻井液泵压力干扰影响。Downhole measurement while drilling/logging while drilling (MWD/LWD) is a modern drilling auxiliary technology that measures and transmits downhole information in real time during drilling. During the drilling process, the drilling fluid is pumped downhole from the surface through the drill string, sprayed out from the water hole of the drill bit for the lubrication and cooling of the drill bit, and returns upward to the wellhead through the annular space between the well wall and the drill string. MWD/LWD tools are installed In the drill collar on the drill bit top, see accompanying
发明内容: Invention content:
本发明所要解决的技术问题就是针对现有信号处理技术存在的缺陷,提供一种钻井液连续压力波信号中的泵压干扰消除方法。The technical problem to be solved by the present invention is to provide a method for eliminating pump pressure interference in the continuous pressure wave signal of drilling fluid in view of the defects existing in the existing signal processing technology.
本发明所要解决的技术问题按以下技术方案实现:The technical problem to be solved by the present invention is realized according to the following technical solutions:
1.采用延迟差动检测法消除钻井液泵的泵压力干扰影响1. Use delay differential detection method to eliminate the influence of pump pressure interference of drilling fluid pump
在井口与钻井液泵之间的一段钻井液直管道上安装压力传感器A和压力传感器B,其中压力传感器A靠近井口,压力传感器B靠近钻井液泵,井下随钻测量数据通过调制钻井液压力转变为钻井液压力信号,以波动方式自井底通过钻柱传输到井口后首先到达压力传感器A,然后到达压力传感器B,两传感器接收到的压力信号均包含井下钻井液压力信号及钻井液泵产生的泵压力干扰;根据信号流向分析,泵压力干扰的传输方向与井下钻井液压力信号相反,因此压力传感器A接收到的井下钻井液压力信号将延迟到达压力传感器B,这段延迟的时间为钻井液压力波通过两个压力传感器之间距离的传输时间,而压力传感器B接收到的泵压力干扰将经过该段时间的延迟后到达压力传感器A;因此,A、B两个压力传感器接收到的信号可以表示为以下数学模型Install pressure sensor A and pressure sensor B on a section of straight drilling fluid pipeline between the wellhead and the drilling fluid pump, where pressure sensor A is close to the wellhead and pressure sensor B is close to the drilling fluid pump, and the downhole measurement data is converted by modulating the drilling fluid pressure It is the drilling fluid pressure signal, which is transmitted from the bottom of the well through the drill string to the wellhead in a fluctuating manner, and then reaches the pressure sensor A first, and then reaches the pressure sensor B. The pressure signals received by the two sensors include the downhole drilling fluid pressure signal and the drilling fluid pump. According to the signal flow analysis, the transmission direction of the pump pressure interference is opposite to the downhole drilling fluid pressure signal, so the downhole drilling fluid pressure signal received by pressure sensor A will delay reaching pressure sensor B. The transmission time of the hydraulic pressure wave through the distance between the two pressure sensors, and the pump pressure interference received by the pressure sensor B will reach the pressure sensor A after a delay of this period; therefore, the pressure received by the two pressure sensors A and B The signal can be expressed as the following mathematical model
式(1)中,pA(t)为压力传感器A接收到的信号;pB(t)为压力传感器B接收到的信号;s(t)为井下钻井液压力信号;np(t)为钻井液泵产生的泵压力干扰;h(t)为安装压力传感器A和压力传感器B段管道的单位冲击响应;符号“*”代表卷积运算。In formula (1), p A (t) is the signal received by pressure sensor A; p B (t) is the signal received by pressure sensor B; s (t) is the downhole drilling fluid pressure signal; n p (t) is the pump pressure disturbance generated by the drilling fluid pump; h(t) is the unit shock response of the pipeline with pressure sensor A and pressure sensor B installed; the symbol "*" represents the convolution operation.
将式(1)中的pB(t)卷积h(t),有Convolving p B (t) in formula (1) with h(t), we have
pB(t)*h(t)=[h(t)*s(t)]+np(t)*h(t) (2)p B (t)*h(t)=[h(t)*s(t)]+n p (t)*h(t) (2)
将式(1)中的pA(t)与式(2)相减得到延迟差动检测信号的数学模型Subtract p A (t) in formula (1) from formula (2) to obtain the mathematical model of delayed differential detection signal
Δp(t)=pA(t)-pB(t)*h(t)=s(t)-h(t)*h(t)*s(t) (3)Δp(t)=p A (t)-p B (t)*h(t)=s(t)-h(t)*h(t)*s(t) (3)
由式(3)可以看出,泵干扰项np(t)通过pB(t)与h(t)的卷积并与pA(t)的差动运算被消除掉,延迟差动检测信号Δp(t)中已无泵压力干扰成分。It can be seen from formula (3) that the pump interference term n p (t) is eliminated through the convolution of p B (t) and h (t) and the differential operation with p A (t), and the delay differential detection The signal Δp(t) has no pump pressure interference component.
由于泵干扰的传播路径为从压力传感器B到压力传感器A。式(2)意味着将压力传感器B的检测信号pB(t)再通过一个单位冲击响应为h(t)的线性系统,由于h(t)包含有信号通过安装压力传感器A和压力传感器B段管道产生的延迟τ0,其物理意义为将pB(t)中的泵压干扰项再延迟一个τ0时间后,将与pA(t)中的泵压干扰项具有相同的时间延迟,由于信号pA(t)与信号pB(t)*h(t)中泵压干扰出现的时间相同,通过信号pA(t)与信号pB(t)*h(t)相减可以达到消除泵压干扰的目的。但由于式(2)只是一种数学表达式,实施过程中不可能使pB(t)再通过一个具有单位冲击响应为h(t)的物理系统,因此延迟差动检测信号的获取必须能够物理实现。而按照式(3)同样的思路,如果延迟τ0时间再对压力传感器A的信号进行检测,则压力传感器A检测信号p′A(t)中的泵压干扰即是由安装压力传感器A和压力传感器B段管道经过压力传感器B传播过来的泵压干扰,通过信号p′A(t)与信号pB(t)相减同样可以消除泵压干扰的影响,从而在物理上实现式(3)描述的延迟差动检测信号Δp(t)。因此,延迟差动检测信号的获取是通过延迟τ0时间再检测压力传感器A的信号p′A(t)并与压力传感器B的检测信号pB(t)相减来实现,即The propagation path due to the pump disturbance is from pressure sensor B to pressure sensor A. Equation (2) means that the detection signal p B (t) of pressure sensor B passes through a linear system with a unit shock response of h(t), since h(t) contains the signal through the installation of pressure sensor A and pressure sensor B The delay τ 0 generated by the section pipeline, its physical meaning is that after delaying the pump pressure interference item in p B (t) for another τ 0 time, it will have the same time delay as the pump pressure interference item in p A (t) , since the signal p A (t) and the signal p B (t)*h(t) appear at the same time as the pump pressure disturbance, by subtracting the signal p A (t) from the signal p B (t)*h(t) The purpose of eliminating pump pressure interference can be achieved. However, since formula (2) is only a mathematical expression, it is impossible to make p B (t) pass through a physical system with unit impulse response h(t) in the implementation process, so the acquisition of the delayed differential detection signal must be able to physical realization. According to the same idea of formula (3), if the signal of pressure sensor A is detected after a delay of τ 0 , the pump pressure interference in the detection signal p′ A (t) of pressure sensor A is caused by the installation of pressure sensor A and The pump pressure interference transmitted by the pressure sensor B section pipeline through the pressure sensor B can also eliminate the influence of the pump pressure interference by subtracting the signal p′ A (t) from the signal p B (t), thus physically realizing the equation (3 ) describes the delayed differential detection signal Δp(t). Therefore, the acquisition of the delayed differential detection signal is realized by delaying τ 0 time to detect the signal p′ A (t) of pressure sensor A and subtracting it from the detection signal p B (t) of pressure sensor B, that is
Δp(t)=p′A(t)-pB(t) (4)Δp(t)=p′ A (t)-p B (t) (4)
延迟差动检测信号Δp(t)中包含的井下钻井液压力信号s(t)可以通过数学重构得以恢复。The downhole drilling fluid pressure signal s(t) contained in the delayed differential detection signal Δp(t) can be recovered through mathematical reconstruction.
2.井下钻井液压力信号的数学重构2. Mathematical reconstruction of downhole drilling fluid pressure signal
从延迟差动检测信号中恢复井下钻井液压力信号的过程称之为重构,要实现井下信号的重构,h(t)的构建是个关键问题,本发明是这样实现的:受传输距离和信号传输速率的限制,钻井液连续压力波信号频谱的最高频率通常为几十赫兹,因此信号的频率是有限的;在有限频带内,如果将安装压力传感器A和压力传感器B之间的管道看做无失真传输系统,则其构成理想低通滤波器,系统的频域传递函数为The process of recovering the downhole drilling fluid pressure signal from the delayed differential detection signal is called reconstruction. To realize the reconstruction of the downhole signal, the construction of h(t) is a key issue. The present invention is realized in this way: affected by the transmission distance and Due to the limitation of signal transmission rate, the highest frequency of the continuous pressure wave signal spectrum of drilling fluid is usually tens of hertz, so the frequency of the signal is limited; within the limited frequency band, if the pipeline between pressure sensor A and pressure sensor B is installed As a distortion-free transmission system, it constitutes an ideal low-pass filter, and the frequency domain transfer function of the system is
式(5)中,a为信号通过安装压力传感器A和压力传感器B段管道产生的信号衰减系数;为单位门函数,ωb为单位门函数的单边带宽度;代表复数的虚部算子;ω=2πf为信号角频率,f为信号频率;τ0=L0/c0为压力波在压力传感器A和B之间的传输时间,L0为压力传感器A和B之间的距离,c0为压力波传播速度。则安装压力传感器A和压力传感器B段管道的单位冲击响应为In formula (5), a is the signal attenuation coefficient generated by the signal passing through the pipelines of pressure sensor A and pressure sensor B; is the unit gate function, ω b is the SSB width of the unit gate function; Represents the imaginary part operator of a complex number; ω=2πf is the angular frequency of the signal, f is the signal frequency; τ 0 =L 0 /c 0 is the transmission time of the pressure wave between pressure sensors A and B, and L 0 is the pressure sensor A and the distance between B, c 0 is the pressure wave propagation speed. Then the unit shock response of the pipeline with pressure sensor A and pressure sensor B installed is
对式(3)取傅里叶变换得Take the Fourier transform of formula (3) to get
井下钻井液压力信号的频谱密度函数为The spectral density function of the downhole drilling fluid pressure signal is
其中,ΔP(jω)=F[Δp(t)]=F[p′A(t)-pB(t)]为延迟差动检测信号Δp(t)的傅里叶变换;为井下钻井液压力信号恢复系统的频域传递函数,通过H(jω)可实现井下钻井液压力信号的重构。Wherein, ΔP(jω)=F[Δp(t)]=F[ p'A (t) -pB (t)] is the Fourier transform of the delayed differential detection signal Δp(t); is the frequency domain transfer function of the downhole drilling fluid pressure signal recovery system, and the reconstruction of the downhole drilling fluid pressure signal can be realized by H(jω).
钻井液压力信号的重构方法可以采用基于时域差分方程的信号重构及基于傅里叶变换的信号。The reconstruction method of drilling fluid pressure signal can adopt signal reconstruction based on time domain difference equation and signal based on Fourier transform.
根据数字滤波器理论,H(jω)为一个k(k=2τ0/Ts,Ts为信号采样周期)阶无限冲击响应滤波器系统。因此,在H(jω)构成理想低通传输条件下,基于时域差分方程的信号重构过程是使延迟差动检测信号Δp(t)通过一个具有递归结构的闭环延迟反馈系统,以递推算法获得延迟差动检测信号中包含的井下钻井液压力信号,表达式为According to the digital filter theory, H(jω) is a k (k=2τ 0 /T s , T s is the signal sampling period) order infinite impulse response filter system. Therefore, under the condition that H(jω) constitutes an ideal low-pass transmission, the signal reconstruction process based on the time-domain difference equation is to make the delayed differential detection signal Δp(t) pass through a closed-loop delay feedback system with a recursive structure to recursively calculate The downhole drilling fluid pressure signal contained in the delayed differential detection signal is obtained by using the method, and the expression is
基于傅里叶变换的信号重构是通过对式(8)进行傅里叶逆变换获得井下钻井液压力信号,表达式为The signal reconstruction based on Fourier transform is to obtain the downhole drilling fluid pressure signal by performing inverse Fourier transform on equation (8), the expression is
3.压力传感器合理间距的确定3. Determination of reasonable distance between pressure sensors
两压力传感器相距较近时,钻井液压力波在通过两压力传感器时的传输损失很小,信号衰减系数非常接近于1(即a=1)。因此,井下钻井液压力信号恢复系统的传递函数H(jω)存在极点,极点频率为When the two pressure sensors are close to each other, the transmission loss of the drilling fluid pressure wave passing through the two pressure sensors is very small, and the signal attenuation coefficient is very close to 1 (that is, a=1). Therefore, there is a pole in the transfer function H(jω) of the downhole drilling fluid pressure signal recovery system, and the frequency of the pole is
当极点频率进入到信号频带,会对信号的重构造成极大干扰且无法去除。为避免出现此种情况,所有极点频率值应大于理想低通滤波器的通带频率,即f0>fb,由此得到确定两个压力传感器间距的约束条件为When the pole frequency enters the signal frequency band, it will cause great interference to the reconstruction of the signal and cannot be removed. In order to avoid this situation, all pole frequency values should be greater than the passband frequency of the ideal low-pass filter, that is, f 0 >f b , thus the constraint condition for determining the distance between the two pressure sensors is
两个压力传感器的间距可以在符合式(12)约束条件的基础上确定。The distance between two pressure sensors can be determined on the basis of conforming to the constraints of formula (12).
本发明的有益效果是:采用两个压力传感器进行延迟差动检测来消除钻井液泵压力干扰的影响,并通过数学重构从延迟差动检测信号中恢复井下钻井液压力信号,达到提高信号信噪比,保证经过钻井液传输的井下随钻测量信息的正确提取。The beneficial effects of the present invention are: two pressure sensors are used for delayed differential detection to eliminate the influence of drilling fluid pump pressure interference, and the downhole drilling fluid pressure signal is recovered from the delayed differential detection signal through mathematical reconstruction to improve the signal signal. Noise ratio, to ensure the correct extraction of downhole measurement while drilling information transmitted by drilling fluid.
附图说明: Description of drawings:
图1是现有技术中包含有随钻测量/随钻测井工具及钻井液压力信号检测与处理的钻井装置示意图。Fig. 1 is a schematic diagram of a drilling device including measurement-while-drilling/logging-while-drilling tools and drilling fluid pressure signal detection and processing in the prior art.
图2是本发明中钻井液连续压力波信号的检测与处理流程图。Fig. 2 is a flow chart of the detection and processing of drilling fluid continuous pressure wave signals in the present invention.
图3a是本发明所述基于时域差分方程进行信号重构的计算机数据采集与处理软件框图。Fig. 3a is a block diagram of computer data acquisition and processing software for signal reconstruction based on time-domain difference equations according to the present invention.
图3b是本发明所述基于傅里叶变换进行信号重构的计算机数据采集与处理软件框图。Fig. 3b is a block diagram of computer data acquisition and processing software for signal reconstruction based on Fourier transform according to the present invention.
图4a是本发明中10位二进制码元的钻井液压力DPSK原信号的波形仿真图。Fig. 4a is a waveform simulation diagram of the original DPSK signal of drilling fluid pressure with 10 binary symbols in the present invention.
图4b是本发明中钻井液压力DPSK原信号混入泵压力干扰的波形仿真图。Fig. 4b is a waveform simulation diagram of the original drilling fluid pressure DPSK signal mixed with pump pressure interference in the present invention.
图4c是本发明中延迟差动检测信号的波形仿真图。Fig. 4c is a waveform simulation diagram of the delayed differential detection signal in the present invention.
图4d是本发明中钻井液压力DPSK信号重构的波形仿真图。Fig. 4d is a waveform simulation diagram of drilling fluid pressure DPSK signal reconstruction in the present invention.
图中:1-钻井液、2-地表、3-钻柱、4-钻井液泵、5-钻头、6-环形空间、7-地层、8-钻井参数及地层参数测量装置、9-钻井液连续压力波信号发生器、10-压力传感器、11-信号处理装置、12-钻铤、13-钻井液罐、14-压力传感器A、15-压力传感器B,16-数据采集与信号处理系统、17-钻井液压力信号、18-井口、19-钻井液泵压干扰信号、20-直管道。In the figure: 1-drilling fluid, 2-surface, 3-drill string, 4-drilling fluid pump, 5-drill bit, 6-annular space, 7-formation, 8-drilling parameters and formation parameter measuring device, 9-drilling fluid Continuous pressure wave signal generator, 10-pressure sensor, 11-signal processing device, 12-drill collar, 13-drilling fluid tank, 14-pressure sensor A, 15-pressure sensor B, 16-data acquisition and signal processing system, 17-drilling fluid pressure signal, 18-wellhead, 19-drilling fluid pump pressure interference signal, 20-straight pipeline.
具体实施方式: Detailed ways:
下面结合附图和实施例来进一步描述本发明。The present invention will be further described below in conjunction with the accompanying drawings and embodiments.
图1所示是现有的包含有随钻测量/随钻测井工具及钻井液压力信号检测与处理的钻井装置。钻井液罐13中的钻井液1通过地表2的钻井液泵4注入钻进地层7的钻柱3中,到达钻柱3底端的钻头5,从钻头水眼流出后通过钻柱3与地层7之间的环形空间6返回至地表2,箭头表示钻井液的流动路径。Figure 1 shows an existing drilling device including measurement-while-drilling/logging-while-drilling tools and drilling fluid pressure signal detection and processing. The
钻柱3中靠近钻头5的钻铤12中放置仪器,钻铤上部连接钻杆形成钻柱,整个钻柱对钻头5施加足够的钻压用于钻进地层7。钻铤12中的仪器包括钻井参数及地层参数测量装置8用于监控钻井操作及评估地层的物理特性。Instruments are placed in the
为了在钻井液中产生压力波动及通过钻井液传输井下数据,将钻井液连续压力波信号发生器9安装在钻铤12的上部,钻井液压力信号通过钻柱上传至地面,经过压力传感器10检测并送入信号处理装置11进行信号处理。In order to generate pressure fluctuations in the drilling fluid and transmit downhole data through the drilling fluid, the drilling fluid continuous pressure wave signal generator 9 is installed on the upper part of the
钻井液连续压力波信号的泵压力干扰消除方法,按以下技术方案实现:The method for eliminating the pump pressure interference of the drilling fluid continuous pressure wave signal is realized according to the following technical scheme:
1.采用延迟差动检测法消除钻井液泵压力干扰影响1. Elimination of Drilling Fluid Pump Pressure Disturbance by Using Delayed Differential Detection Method
在井口与钻井液泵之间的一段钻井液直管路中安装压力传感器A和压力传感器B,其中压力传感器A靠近井口,压力传感器B靠近钻井液泵,井下随钻测量信号自井底传输到井口后首先遇到压力传感器A,两压力传感器接收到的压力信号均包含井下钻井液压力信号及钻井液泵产生的泵压干扰。根据信号流向分析,泵压干扰的传输方向与井下钻井液压力信号的传输方向相反,因此压力传感器A接收到的井下钻井液压力信号经过一段时间的延迟后将到达压力传感器B,该段时间为钻井液压力波通过两压力传感器之间距离的传输时间,而压力传感器B接收到的泵压干扰将经过该段时间的延迟后到达压力传感器A。某一时刻,压力传感器B具有某一压力测量值,对压力传感器A的输出信号延迟该段时间后再进行检测得到测量值,压力传感器A测量值与压力传感器B的测量值相减得到延迟差动检测信号,泵压干扰在这一过程中被消除,延迟差动检测信号中已无泵压干扰成分,而延迟差动检测信号中包含的井下钻井液压力信号可以通过特殊的数学重构得以恢复,因此该方法称之为延迟差动检测法,通过式(1)表示的压力传感器A和压力传感器B信号的时域数学模型及式(3)表示的延迟差动检测信号的数学模型可以清晰地描述。Install pressure sensor A and pressure sensor B in a straight drilling fluid pipeline between the wellhead and the drilling fluid pump, where pressure sensor A is close to the wellhead and pressure sensor B is close to the drilling fluid pump, and the downhole measurement signal is transmitted from the bottom of the well to the drilling fluid pump. After the wellhead, it first encounters pressure sensor A, and the pressure signals received by the two pressure sensors include the downhole drilling fluid pressure signal and the pump pressure interference generated by the drilling fluid pump. According to the signal flow analysis, the transmission direction of the pump pressure disturbance is opposite to the transmission direction of the downhole drilling fluid pressure signal, so the downhole drilling fluid pressure signal received by pressure sensor A will reach pressure sensor B after a period of delay, and this period is The transmission time for the drilling fluid pressure wave to pass through the distance between the two pressure sensors, and the pump pressure disturbance received by pressure sensor B will reach pressure sensor A after a delay of this period. At a certain moment, the pressure sensor B has a certain pressure measurement value, and the output signal of the pressure sensor A is delayed for a period of time to obtain the measurement value, and the measurement value of the pressure sensor A is subtracted from the measurement value of the pressure sensor B to obtain the delay difference The pump pressure interference is eliminated in this process, and there is no pump pressure interference component in the delayed differential detection signal, and the downhole drilling fluid pressure signal contained in the delayed differential detection signal can be obtained through special mathematical reconstruction. recovery, so this method is called the delay differential detection method, the time-domain mathematical model of the pressure sensor A and pressure sensor B signals represented by formula (1) and the mathematical model of the delayed differential detection signal represented by formula (3) can be Describe clearly.
2.井下钻井液压力信号的数学重构2. Mathematical Reconstruction of Downhole Drilling Fluid Pressure Signal
从延迟差动检测信号中恢复井下钻井液压力信号的过程称之为重构,重构采用基于时域差分方程的信号重构及基于傅里叶变换的信号重构方法。基于时域差分方程的信号重构过程是使延迟差动检测信号通过一个具有递归结构的闭环延迟反馈系统,以递推算法获得延迟差动检测信号中包含的井下钻井液压力信号。基于傅里叶变换的信号重构通过由式(10)表示的傅里叶逆变换获得井下钻井液压力信号。The process of recovering the downhole drilling fluid pressure signal from the delayed differential detection signal is called reconstruction, and the reconstruction adopts the signal reconstruction method based on time-domain difference equation and the signal reconstruction method based on Fourier transform. The signal reconstruction process based on the time-domain difference equation is to make the delayed differential detection signal pass through a closed-loop delay feedback system with a recursive structure, and obtain the downhole drilling fluid pressure signal contained in the delayed differential detection signal with a recursive algorithm. Signal reconstruction based on Fourier transform The downhole drilling fluid pressure signal is obtained through the inverse Fourier transform represented by equation (10).
3.压力传感器合理间距的确定3. Determination of Reasonable Space Between Pressure Sensors
两个压力传感器相距较近时,钻井液压力波在通过两个压力传感器时的传输损失很小,其传输函数的模接近于1,因此井下钻井液压力信号恢复系统的传递函数存在极点,当极点对应频率进入到信号频带,会对信号的重构造成极大干扰且无法去除。为避免出现此种情况,所有极点频率值应大于理想低通滤波器的通带频率,由此可以得到由式(12)表示的传感器间距约束条件:压力传感器间距应小于压力波速除以2倍的理想低通滤波器通带频率。两个压力传感器的间距可以在符合上述约束条件的基础上确定。When the two pressure sensors are close to each other, the transmission loss of the drilling fluid pressure wave passing through the two pressure sensors is very small, and the modulus of the transfer function is close to 1, so there is a pole in the transfer function of the downhole drilling fluid pressure signal recovery system. The frequency corresponding to the pole enters the signal frequency band, which will cause great interference to the reconstruction of the signal and cannot be removed. In order to avoid this situation, all pole frequency values should be greater than the passband frequency of the ideal low-pass filter, thus the sensor spacing constraints expressed by equation (12) can be obtained: the pressure sensor spacing should be less than the pressure wave velocity divided by 2 times The ideal low-pass filter passband frequency. The distance between the two pressure sensors can be determined on the basis of meeting the above constraints.
图2所示是钻井液连续压力波信号的检测及处理流程图,本发明采用相距一段距离的两个压力传感器分别测量特定直管道中的钻井液压力,其中压力传感器A相对于压力传感器B要延迟一段时间再进行钻井液压力的测量,该段时间为钻井液压力波通过两个压力传感器之间距离的传输时间,两个压力传感器的信号通过计算机的数据采集与处理,实现钻井液泵压力干扰的消除及井下钻井液压力信号的重构。其技术方案是:直管道20连接在井口18与钻井液泵4之间,钻井液1通过该段管道由井口18被注入到井下,压力传感器A14靠近井口18,压力传感器B15靠近钻井液泵4,井下上传的钻井液压力信号17自井口18向钻井液泵4方向传播,依次经过压力传感器A14和压力传感器B15,泵压力干扰信号19自钻井液泵4向井口18方向传播,依次经过压力传感器B15和压力传感器A14,压力传感器A14和压力传感器B15的电信号可以通过有线或无线方式与计算机数据采集与信号处理系统16连接,计算机对压力传感器A14和压力传感器B15的信号进行处理实现钻井液泵压力干扰的消除与井下钻井液压力信号的重构,计算机信号处理程序的核心为信号的延迟差动检测算法和井下钻井液压力信号的数学重构算法,其中,延迟差动检测算法通过计算钻井液压力波经过两个压力传感器之间距离的传输时间,使压力传感器A相对于压力传感器B延迟该段时间再进行钻井液压力测量,然后将压力传感器A测量值与压力传感器B的测量值相减得到延迟差动检测信号,井下钻井液压力信号的数学重构算法采用式(9)基于时域差分方程的信号重构或式(10)基于傅里叶变换的信号重构方法。Fig. 2 shows the detection and processing flow chart of drilling fluid continuous pressure wave signal. The present invention adopts two pressure sensors separated by a certain distance to measure the drilling fluid pressure in a specific straight pipeline respectively, wherein pressure sensor A needs more pressure than pressure sensor B. Delay for a period of time before measuring the drilling fluid pressure. This period of time is the transmission time for the drilling fluid pressure wave to pass through the distance between the two pressure sensors. The signals of the two pressure sensors are collected and processed by the computer to realize the drilling fluid pump pressure. Elimination of interference and reconstruction of downhole drilling fluid pressure signals. The technical solution is: the
图3a中,压力信号的延迟差动检测及井下钻井液压力信号的重构均在时域条件下通过计算机的数据采集与处理系统实现,信号重构采用基于时域差分方程的递推算法。In Fig. 3a, the delayed differential detection of the pressure signal and the reconstruction of the downhole drilling fluid pressure signal are realized in the time domain through the computer data acquisition and processing system, and the signal reconstruction adopts a recursive algorithm based on the time domain difference equation.
图3b中,计算机数据采集与处理系统中,首先在时域获得压力信号的延迟差动检测值,然后对其进行傅里叶变换转换为频域值,再与井下钻井液压力信号恢复系统的频域传递函数相乘得到钻井液压力信号的频谱密度函数,对钻井液压力信号的频谱密度函数取傅里叶逆变换实现井下钻井液压力信号的重构。In Fig. 3b, in the computer data acquisition and processing system, the delay differential detection value of the pressure signal is first obtained in the time domain, and then transformed into a frequency domain value by Fourier transform, and then combined with the downhole drilling fluid pressure signal recovery system The frequency domain transfer function is multiplied to obtain the spectral density function of the drilling fluid pressure signal, and the inverse Fourier transform is taken for the spectral density function of the drilling fluid pressure signal to realize the reconstruction of the downhole drilling fluid pressure signal.
图4a中,钻井液压力DPSK原信号的调制数据编码为[1 1 1 1 1 1 1 1 1 1],载频20Hz,幅度1Pa。In Fig. 4a, the modulation data code of the drilling fluid pressure DPSK original signal is [1 1 1 1 1 1 1 1 1 1], the carrier frequency is 20Hz, and the amplitude is 1Pa.
图4b中,泵压力干扰的基波频率3.2Hz,谐波次数2—9,基波和各次谐波幅度皆为1Pa,钻井液压力DPSK原信号混入泵压力干扰后,泵压力干扰的幅度远大于钻井液压力DPSK原信号幅度,信噪比为0.11,信号已完全被泵压力干扰所淹没。In Fig. 4b, the fundamental frequency of the pump pressure disturbance is 3.2 Hz, the harmonic order is 2-9, and the amplitude of the fundamental wave and each harmonic is 1 Pa. After the original drilling fluid pressure DPSK signal is mixed into the pump pressure disturbance, the amplitude of the pump pressure disturbance is Much larger than the original signal amplitude of drilling fluid pressure DPSK, the signal-to-noise ratio is 0.11, and the signal has been completely submerged by pump pressure interference.
图4c中,从延迟差动检测信号可以看出,泵压力干扰被完全消除。In Fig. 4c, it can be seen from the delayed differential detection signal that the pump pressure disturbance is completely eliminated.
图4d中,钻井液压力DPSK重构信号与图4a原信号的变化规律一致,信号得到良好恢复。In Fig. 4d, the DPSK reconstruction signal of drilling fluid pressure is consistent with the original signal in Fig. 4a, and the signal is well restored.
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