CN107340219B - Oil reservoir dynamic capillary effect evaluation experiment data processing method - Google Patents

Oil reservoir dynamic capillary effect evaluation experiment data processing method Download PDF

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CN107340219B
CN107340219B CN201710549525.4A CN201710549525A CN107340219B CN 107340219 B CN107340219 B CN 107340219B CN 201710549525 A CN201710549525 A CN 201710549525A CN 107340219 B CN107340219 B CN 107340219B
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李海涛
李颖
崔小江
卢昱
李斌斌
蒋贝贝
阳明君
王科
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Southwest Petroleum University
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Abstract

本发明公开了一种动态毛管效应评价实验数据处理方法，依次包括以下步骤：(1)整理基本参数；(2)岩心平均含水饱和度

Figure DDA0001344045060000011
和平均含油饱和度
Figure DDA0001344045060000012
的确定；(3)动态毛管力的确定：对各个测试点所测得的就地动态毛管力进行矫正，确定岩心、油相和水相几何中心，求取本质相平均油相压力<po>和水相压力<pw>，确定动态毛管力；(4)确定油相和水相动态相对渗透率：计算有效含水饱和度
Figure DDA0001344045060000013
取毛管力曲线上含水饱和度为Sp的中心含水饱和度点,饱和度Sp对应的毛管压力为P，计算该点的对数坐标斜率(F)，拟合Genuchten模型得到参数m，分别计算水相动态相对渗透率(Krw)和油相动态相对渗透率(Kro)。

Figure 201710549525

The invention discloses a dynamic capillary effect evaluation experimental data processing method, which comprises the following steps in sequence: (1) sorting out basic parameters; (2) average water saturation of cores

Figure DDA0001344045060000011
and average oil saturation
Figure DDA0001344045060000012
(3) Determination of dynamic capillary force: correct the in-situ dynamic capillary force measured at each test point, determine the geometric centers of the core, oil phase and water phase, and obtain the average oil phase pressure of the essential phase < p o > and water phase pressure <p w >, determine the dynamic capillary force; (4) determine the dynamic relative permeability of oil phase and water phase: calculate the effective water saturation
Figure DDA0001344045060000013
Take the central water saturation point on the capillary force curve where the water saturation is Sp, and the capillary pressure corresponding to the saturation Sp is P , calculate the logarithmic coordinate slope (F) of this point, and fit the Genuchten model to obtain the parameter m, respectively. Calculate the dynamic relative permeability of the water phase (K rw ) and the dynamic relative permeability of the oil phase (K ro ).

Figure 201710549525

Description

一种油藏动态毛管效应评价实验数据处理方法An experimental data processing method for evaluating the dynamic capillary effect of reservoirs

技术领域technical field

本发明属于油气田开发室内实验技术领域，具体地涉及一种动态毛管效应评价实验数据处理方法。The invention belongs to the technical field of laboratory experiments for oil and gas field development, and in particular relates to a method for processing dynamic capillary effect evaluation experimental data.

背景技术Background technique

动态毛管效应，即油水两相渗流过程中,毛管力和相对渗透率不仅是饱和度的函数,还是饱和度变化率的函数。通常情况下，研究中采用的毛管力是在静态或者准静态条件下测得的，即饱和度分布不再随着时间变化。但是自19世纪60年代开始，人们就发现，多孔介质中多相渗流产生的毛管现象是动态的。静态毛管力和动态毛管力的差别已经被很多研究所证实，特别是在低渗或致密油藏中，这种差别更大。动、静态毛管力的差别对相对渗透率也会产生影响。动态毛管效应作用下的动态相渗曲线是不稳定的，与稳定时测得的静态相渗曲线有较大差别。因此，需要准确的评价实验和数据处理方法，来获得准确的动态毛管力和动态相渗曲线，评估动态毛管效应，为油藏开发提供指导。Dynamic capillary effect, that is, in the process of oil-water two-phase seepage, capillary force and relative permeability are not only functions of saturation, but also functions of saturation change rate. Typically, capillary forces used in studies are measured under static or quasi-static conditions, i.e. the saturation distribution does not change over time. However, since the 1860s, it has been found that the capillary phenomenon caused by multiphase seepage in porous media is dynamic. The difference between static capillary force and dynamic capillary force has been confirmed by many studies, especially in low-permeability or tight reservoirs, the difference is even greater. The difference between dynamic and static capillary forces also affects relative permeability. The dynamic phase permeability curve under the action of dynamic capillary effect is unstable, which is quite different from the static phase permeability curve measured when it is stable. Therefore, accurate evaluation experiments and data processing methods are required to obtain accurate dynamic capillary force and dynamic phase permeability curves, evaluate dynamic capillary effects, and provide guidance for reservoir development.

目前，油藏岩石动态毛管效应评价实验的数据处理方法偏差较大，造成计算得到的动态毛管力、饱和度和相对渗透率数据可靠性不强。测得的饱和度数据、相对渗透率和各相流体的压力，均需要进行合理的平均计算。特别是在流体粘度大或压力变化快的情况下，压力传感器响应时间造成测试数据有延迟，更需要对所测得流体压力进行校正。At present, the data processing method of the dynamic capillary effect evaluation experiment of reservoir rocks has a large deviation, resulting in the low reliability of the calculated dynamic capillary force, saturation and relative permeability data. The measured saturation data, relative permeability and pressure of each phase fluid need to be reasonably averaged. Especially when the fluid viscosity is high or the pressure changes rapidly, the response time of the pressure sensor causes a delay in the test data, and the measured fluid pressure needs to be corrected.

发明内容SUMMARY OF THE INVENTION

本发明的目的在于提供一种动态毛管力评价实验数据处理方法，克服现有实验数据处理方法的不足，能够准确地校正各相流体压力，对饱和度、流体压力进行合理的平均计算，并准确计算动态相对渗透率，为评价油藏动态毛管效应提供准确的数据支持。The purpose of the present invention is to provide a dynamic capillary force evaluation experimental data processing method, which overcomes the shortcomings of the existing experimental data processing methods, can accurately correct the fluid pressure of each phase, perform reasonable average calculation on saturation and fluid pressure, and accurately Calculate the dynamic relative permeability to provide accurate data support for evaluating the dynamic capillary effect of the reservoir.

本发明的目的通过以下技术方案来实现：The object of the present invention is achieved through the following technical solutions:

一种油藏动态毛管效应评价实验数据处理方法，该方法包括平均流体饱和度的确定，各相流体压力的校正和动态毛管力的确定，动态相对渗透率的确定，依次包括以下步骤：An experimental data processing method for evaluating the dynamic capillary effect of a reservoir, the method includes determining the average fluid saturation, correcting the fluid pressure of each phase, determining the dynamic capillary force, and determining the dynamic relative permeability, including the following steps in sequence:

1.整理基本参数，包括岩心长度；各个测试截面的位置

Figure GDA0002385939010000021
某就地含水饱和度
Figure GDA0002385939010000022
和某就地含油饱和度
Figure GDA0002385939010000023
各个压力测试点的水相压力
Figure GDA0002385939010000024
和油相压力
Figure GDA0002385939010000025
原始含水饱和度Si和束缚水饱和度Srw；1. Arrange basic parameters, including core length; position of each test section
Figure GDA0002385939010000021
an in situ water saturation
Figure GDA0002385939010000022
and an in-situ oil saturation
Figure GDA0002385939010000023
Water phase pressure at each pressure test point
Figure GDA0002385939010000024
and oil phase pressure
Figure GDA0002385939010000025
original water saturation Si and irreducible water saturation S rw ;

2.岩心平均含水饱和度

Figure GDA0002385939010000026
和平均含油饱和度
Figure GDA0002385939010000027
的确定：2. Average water saturation of core
Figure GDA0002385939010000026
and average oil saturation
Figure GDA0002385939010000027
OK:

Figure GDA0002385939010000028
Figure GDA0002385939010000028

Figure GDA0002385939010000029
Figure GDA0002385939010000029

j代表各个饱和度测试点，N表示测试点的总数，

Figure GDA00023859390100000210
为某就地含水饱和度，
Figure GDA00023859390100000211
为某就地含油饱和度；
Figure GDA00023859390100000212
为含平均水饱和度，
Figure GDA00023859390100000213
为平均含油饱和度；j represents each saturation test point, N represents the total number of test points,
Figure GDA00023859390100000210
is an in-situ water saturation,
Figure GDA00023859390100000211
is an in-situ oil saturation;
Figure GDA00023859390100000212
is the mean water saturation,
Figure GDA00023859390100000213
is the average oil saturation;

3.动态毛管力的确定：3. Determination of dynamic capillary force:

1)对各个测试点所测得的就地动态毛管力进行矫正:1) Correct the in-situ dynamic capillary force measured at each test point:

Figure GDA00023859390100000214
Figure GDA00023859390100000214

Figure GDA00023859390100000215
Figure GDA00023859390100000215

Figure GDA00023859390100000216
和
Figure GDA00023859390100000217
分别为校正前的水相和油相压力；
Figure GDA00023859390100000218
为水相校正后的压力；
Figure GDA00023859390100000219
为油相校正后的压力；k为响应时间相关的表征参数，为常数，大小由多孔介质液体系统和传感器的半渗透材料决定；
Figure GDA00023859390100000216
and
Figure GDA00023859390100000217
are the water phase and oil phase pressures before calibration, respectively;
Figure GDA00023859390100000218
is the pressure corrected for the aqueous phase;
Figure GDA00023859390100000219
is the corrected pressure of the oil phase; k is the characteristic parameter related to the response time, which is a constant, and its size is determined by the porous medium liquid system and the semi-permeable material of the sensor;

2)确定岩心、油相和水相几何中心：2) Determine the geometric center of core, oil phase and water phase:

Zaverage＝0.5HZ average = 0.5H

Figure GDA0002385939010000031
Figure GDA0002385939010000031

Figure GDA0002385939010000032
Figure GDA0002385939010000032

Zaverage为岩心几何中心，<Zo>为油相几何中心，<Zw>为水相几何中心；Z average is the geometric center of the core, <Z o > is the geometric center of the oil phase, and < Z w > is the geometric center of the water phase;

3)求取本质相平均油相压力<Po>和水相压力<Pw>：3) Obtain the essential phase average oil phase pressure <P o > and water phase pressure <P w >:

Figure GDA0002385939010000033
Figure GDA0002385939010000033

Figure GDA0002385939010000034
Figure GDA0002385939010000034

j代表各个饱和度测试点，N表示测试点的总数；

Figure GDA0002385939010000035
为某就地含水饱和度，
Figure GDA0002385939010000036
为某就地含油饱和度；
Figure GDA0002385939010000037
和
Figure GDA0002385939010000038
分别为校正前的水相和油相压力；j represents each saturation test point, and N represents the total number of test points;
Figure GDA0002385939010000035
is an in-situ water saturation,
Figure GDA0002385939010000036
is an in-situ oil saturation;
Figure GDA0002385939010000037
and
Figure GDA0002385939010000038
are the water phase and oil phase pressures before calibration, respectively;

4)动态毛管力的确定：4) Determination of dynamic capillary force:

Figure GDA0002385939010000039
Figure GDA0002385939010000039

Figure GDA00023859390100000310
Figure GDA00023859390100000310

4.确定油相和水相动态相对渗透率：4. Determine the dynamic relative permeability of oil phase and water phase:

1)计算有效含水饱和度

Figure GDA00023859390100000311
1) Calculate the effective water saturation
Figure GDA00023859390100000311

Figure GDA00023859390100000312
Figure GDA00023859390100000312

其中，Srw为束缚水饱和度，Sw为某含水饱和度；Among them, S rw is the irreducible water saturation, and S w is a certain water saturation;

2)取毛管力曲线上含水饱和度为Sp的中心含水饱和度点，饱和度Sp对应的毛管压力为P，计算该点的对数坐标斜率(F)：2) Take the central water saturation point on the capillary force curve where the water saturation is Sp, and the capillary pressure corresponding to the saturation Sp is P , and calculate the logarithmic coordinate slope (F) of this point:

Figure GDA0002385939010000041
Figure GDA0002385939010000041

Figure GDA0002385939010000042
Figure GDA0002385939010000042

其中，Si为完全饱和水时的含水饱和度。Among them, Si is the water saturation when fully saturated with water.

3)拟合Genuchten模型(Van Genuchten M T.Aclosed-form equation forpredicting the hydraulic conductivity of unsaturated soils[J].Soil sciencesociety of America journal,1980,44(5):892-898.)，得到和Van Genuchten孔隙尺寸分布系数相关的参数m：3) Fitting the Genuchten model (Van Genuchten M T.Aclosed-form equation predicting the hydraulic conductivity of unsaturated soils[J].Soil sciencesociety of America journal,1980,44(5):892-898.), and Van Genuchten The parameter m related to the pore size distribution coefficient:

Figure GDA0002385939010000043
Figure GDA0002385939010000043

4)分别计算水相动态相对渗透率(Krw)和油相动态相对渗透率(Kro)(Goel G,Abidoye L K,Chahar B R,et al.Scale dependency of dynamic relativepermeability–satuartion curves in relation with fluid viscosity and dynamiccapillary pressure effect.Environmental Fluid Mechanics[J],2016,16(5):945-963.)：4) Calculate the dynamic relative permeability of the water phase (K rw ) and the dynamic relative permeability of the oil phase (K ro ) respectively (Goel G, Abidoye LK, Chahar BR, et al. Scale dependency of dynamic relativepermeability–satuartion curves in relation with fluid viscosity and dynamiccapillary pressure effect.Environmental Fluid Mechanics[J],2016,16(5):945-963.):

Figure GDA0002385939010000044
Figure GDA0002385939010000044

Figure GDA0002385939010000045
Figure GDA0002385939010000045

本发明具有以下优点：The present invention has the following advantages:

直接利用水驱过程中测得的岩心就地含水饱和度，和就地油相水相压力，方便高效地计算动态毛管力和动态相对渗透率，为评估动态毛管效应提供准确的数据支持，指导油田开发方案的设计。Directly use the in-situ water saturation of the core measured during the water flooding process and the in-situ oil phase water phase pressure to calculate the dynamic capillary force and dynamic relative permeability conveniently and efficiently, and provide accurate data support for evaluating the dynamic capillary effect. Design of oilfield development programs.

附图说明Description of drawings

图1为本一种油藏动态毛管效应评价实验数据处理方法的流程图。Fig. 1 is a flow chart of a method for processing data of an experiment for evaluating the dynamic capillary effect of a reservoir.

图2为本一种油藏动态毛管效应评价实验数据处理方法对应的数据采集点。Figure 2 is a data collection point corresponding to an experimental data processing method for evaluating the dynamic capillary effect of a reservoir.

图3为按本发明方法所计算的具体实例的动态毛管力曲线图。FIG. 3 is a dynamic capillary force curve diagram of a specific example calculated according to the method of the present invention.

图4为按本发明方法所计算的具体实例的动态相渗曲线图。FIG. 4 is a dynamic phase permeability curve diagram of a specific example calculated according to the method of the present invention.

在图2中，1-第一水相压力测试点，2-第二水相压力测试点，3-第一油相压力测试点，4-第二油相压力测试点，5-第一含水饱和度测试点，6-第二含水饱和度测试点。In Fig. 2, 1- the first water phase pressure test point, 2- the second water phase pressure test point, 3- the first oil phase pressure test point, 4- the second oil phase pressure test point, 5- the first water phase pressure test point Saturation test point, 6-Second water saturation test point.

具体实施方式Detailed ways

为使本发明实施例的目的，技术方案和优点更加清楚，下面将结合本发明实施例中的附图和实验数据处理方法应用实例进一步说明本发明。显然，所描述的实施例是本发明一部分施例，不是全部实施例。对于本领域普通技术人员来说，在不付出创造性劳动的前提下，可以根据这些附图获得其他的附图。In order to make the purposes, technical solutions and advantages of the embodiments of the present invention clearer, the present invention will be further described below with reference to the drawings in the embodiments of the present invention and application examples of the experimental data processing method. Obviously, the described embodiments are some, but not all, embodiments of the present invention. For those of ordinary skill in the art, other drawings can be obtained from these drawings without creative effort.

具体如下：details as follows:

如图1所示，为该数据处理方法的具体流程图，对某油田岩心进行动态毛管效应评价实验，步骤如下：As shown in Figure 1, which is the specific flow chart of the data processing method, the dynamic capillary effect evaluation experiment is carried out on the core of an oilfield. The steps are as follows:

1.如图2所示，为本实例采集数据点，实验过程中，从第一水相压力测试点1、第二水相压力测试点2、第一油相压力测试点3，第二油相压力测试点4，第一含水饱和度测试点5，第二含水饱和度测试点6采集的某时刻数据如下：1. As shown in Figure 2, data points are collected for this example. During the experiment, from the first water phase pressure test point 1, the second water phase pressure test point 2, the first oil phase pressure test point 3, the second oil phase pressure test point 3, The phase pressure test point 4, the first water saturation test point 5, and the second water saturation test point 6 collect the data at a certain time as follows:

Figure GDA0002385939010000051
Figure GDA0002385939010000051

Figure GDA0002385939010000061
Figure GDA0002385939010000061

2.确定岩心平均含水饱和度和平均含油饱和度：2. Determine the average water saturation and average oil saturation of the core:

Figure GDA0002385939010000062
Figure GDA0002385939010000062

Figure GDA0002385939010000063
Figure GDA0002385939010000063

3.确定动态毛管力：3. Determine the dynamic capillary force:

1)校正各个测试点的就地动态毛管力：1) Correct the in-situ dynamic capillary force of each test point:

Figure GDA0002385939010000064
Figure GDA0002385939010000064

Figure GDA0002385939010000065
Figure GDA0002385939010000065

Figure GDA0002385939010000066
Figure GDA0002385939010000066

Figure GDA0002385939010000067
Figure GDA0002385939010000067

2)确定岩心、油相和水相几何中心：2) Determine the geometric center of core, oil phase and water phase:

Zaverage＝0.5H＝5Z average = 0.5H = 5

Figure GDA0002385939010000068
Figure GDA0002385939010000068

Figure GDA0002385939010000071
Figure GDA0002385939010000071

3)求取本质相平均油相压力<Po>和水相压力<Pw>：3) Obtain the essential phase average oil phase pressure <P o > and water phase pressure <P w >:

Figure GDA0002385939010000072
Figure GDA0002385939010000072

Figure GDA0002385939010000073
Figure GDA0002385939010000073

4)动态毛管力的确定：4) Determination of dynamic capillary force:

Figure GDA0002385939010000074
Figure GDA0002385939010000074

Figure GDA0002385939010000075
Figure GDA0002385939010000075

Figure GDA0002385939010000076
Figure GDA0002385939010000076

3.确定油相和水相动态相对渗透率：3. Determine the dynamic relative permeability of oil phase and water phase:

1)计算有效含水饱和度

Figure GDA0002385939010000077
1) Calculate the effective water saturation
Figure GDA0002385939010000077

Figure GDA0002385939010000078
Figure GDA0002385939010000078

其中，Srw为束缚水饱和度，Sw为含水饱和度。where S rw is the irreducible water saturation, and S w is the water saturation.

2)取毛管力曲线上饱和度为Sp的点,饱和度Sp对应的毛管压力为P，计算该点的对数坐标斜率(F)：2) Take the point on the capillary force curve where the saturation is Sp, the capillary pressure corresponding to the saturation Sp is P , and calculate the logarithmic coordinate slope (F) of this point:

Figure GDA0002385939010000079
Figure GDA0002385939010000079

Figure GDA00023859390100000710
Figure GDA00023859390100000710

3)拟合Genuchten模型得到参数m:3) Fit the Genuchten model to get the parameter m:

Figure GDA0002385939010000081
Figure GDA0002385939010000081

4)计算水相和油相动态相对渗透率:4) Calculate the dynamic relative permeability of water phase and oil phase:

Figure GDA0002385939010000082
Figure GDA0002385939010000082

Figure GDA0002385939010000083
Figure GDA0002385939010000083

如图3所示，为按照此步骤计算得到的不同含水饱和度下的动态毛管力曲线。如图4所示，为按此步骤计算得到的动态相对渗透率曲线。As shown in Figure 3, it is the dynamic capillary force curve under different water saturation calculated according to this step. As shown in Figure 4, it is the dynamic relative permeability curve calculated by this step.

Claims (1)

1. A method for processing experimental data of oil reservoir dynamic capillary effect evaluation is characterized by sequentially comprising the following steps:
1) arranging basic parameters including the core length; position Z of each test sectionj：
Figure FDA0002564318700000011
Certain in situ water saturation
Figure FDA0002564318700000012
And a certain in situ oil saturation
Figure FDA0002564318700000013
Aqueous phase pressure before correction
Figure FDA0002564318700000014
And the oil phase pressure before correction
Figure FDA0002564318700000015
Original water saturation SiAnd irreducible water saturation Srw；
2) Average water saturation of core
Figure FDA0002564318700000016
And average oil saturation
Figure FDA0002564318700000017
Determination of (1):
Figure FDA0002564318700000018
Figure FDA0002564318700000019
j represents each saturation test point, N represents the total number of test points,
Figure FDA00025643187000000110
for a certain in-situ water saturation,
Figure FDA00025643187000000111
a certain in situ oil saturation;
Figure FDA00025643187000000112
in order to average the degree of water saturation,
Figure FDA00025643187000000113
is the average oil saturation;
3) determination of dynamic capillary force:
correcting the in-situ dynamic capillary force measured by each test point:
Figure FDA00025643187000000114
Figure FDA00025643187000000115
Figure FDA00025643187000000116
and
Figure FDA00025643187000000117
respectively the water phase pressure and the oil phase pressure before correction;
Figure FDA00025643187000000118
corrected pressure for aqueous phase;
Figure FDA00025643187000000119
the corrected pressure of the oil phase; k is a response time related characterization parameter which is a constant, and the size of the k is determined by the porous medium liquid system and the semi-permeable material of the sensor;
determining the geometric centers of the rock core, the oil phase and the water phase:
Zaverage＝0.5H
Figure FDA0002564318700000021
Figure FDA0002564318700000022
Zaverageis the geometric center of the rock core,<Zo>is the geometric center of the oil phase,<Zw>is the geometric center of the water phase;
③ finding the average oil phase pressure<Po>And pressure of the aqueous phase<Pw>：
Figure FDA0002564318700000023
Figure FDA0002564318700000024
j represents each saturation test point, and N represents the total number of the test points;
Figure FDA0002564318700000025
for a certain in-situ water saturation,
Figure FDA0002564318700000026
a certain in situ oil saturation;
determination of dynamic capillary force:
Figure FDA0002564318700000027
Figure FDA0002564318700000028
4) determining the oil phase and water phase dynamic relative permeability:
① calculating effective water saturation
Figure FDA0002564318700000029
Figure FDA00025643187000000210
Wherein S isrwTo restrict water saturation, SwA certain water saturation;
② taking the water saturation on the capillary force curve as SpCentral water saturation point of (2), saturation SpAnd (3) calculating the slope F of the logarithmic coordinate of the point, wherein the corresponding capillary pressure is P:
Figure FDA0002564318700000031
Figure FDA0002564318700000032
wherein S isiWater saturation at full water saturation;
thirdly, fitting a Genuchten model to obtain a parameter m related to a Van Genuchten pore size distribution coefficient:
Figure FDA0002564318700000033
④ calculation of the dynamic relative permeability K of the aqueous phaserwAnd oil phase dynamic relative permeability Kro：
Figure FDA0002564318700000034
Figure FDA0002564318700000035
And according to the dynamic capillary force curves at different water saturation at different moments obtained by the calculation in the step.
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