相对渗透率对部分饱和裂隙岩石中横波频变各向异性的影响_廖建平.pdf

2023 年第 38 卷 第1期2023，38(1):0211-0219地球物理学进展Progress in Geophysicshttp:/wwwprogeophyscnISSN 1004-2903CN 11-2982/P廖建平，罗志坤，王立歆，等2023 相对渗透率对部分饱和裂隙岩石中横波频变各向异性的影响 地球物理学进展，38(1):0211-0219，doi:106038/pg2023GG0141LIAO JianPing，LUO ZhiKun，WANG LiXin，et al 2023 Effect of relative permeability on frequency-dependent anisotropy of shear waves in partiallysaturated fractured rocks Progress in Geophysics(in Chinese)，38(1):0211-0219，doi:106038/pg2023GG0141相对渗透率对部分饱和裂隙岩石中横波频变各向异性的影响Effect of relative permeability on frequency-dependent anisotropy of shear wavesin partially saturated fractured rocks廖建平1，2，5，罗志坤1，王立歆2，徐云贵3*，周林1，刘和秀1，王兴宇4，刘艳丽4LIAO JianPing1，2，5，LUO ZhiKun1，WANG LiXin2，XU YunGui3*，ZHOU Lin1，LIU HeXiu1，WANG XingYu4，LIU YanLi4收稿日期2022-05-28;修回日期2022-11-29投稿网址http:/www progeophys cn基金项目国家自然科学基金项目(42074167，41874156，41874167)、中国石化地球物理重点实验室开放基金(33550006-22-FW0399-0027，3550006-20-ZC0699-0012-Z01)、湖南省研究生科研创新项目(CX20221087)和湖南科技大学页岩气资源利用湖南省重点实验室开放基金(E21817，E21821)联合资助第一作者简介廖建平，男，1976 年生，教授，博士生导师，主要从事油气地震勘探方面的研究 E-mail:bobljp163 com*通讯作者徐云贵，男，教授，博士生导师，主要从事油气地震勘探方面的研究 E-mail:yungui xu gmail com1 湖南科技大学地球科学与空间信息工程学院，湘潭4112012 中国石化地球物理重点实验室，中国石化南京物探研究院，南京2111033 西南石油大学地球科学与技术学院，成都6105004 中国地质科学院地球物理地球化学勘查研究所，廊坊0650005 重庆科技学院非常规油气开发研究院，重庆4013311 School of Earth Science and Spatial Information Engineering，Hunan University of Science and Technology，Xiangtan 411201，China2 Sinopec Key Laboratory of Geophysics，Sinopec Geophysical esearch Institute，Nanjing 211103，China3 School of Geoscience and Technology，Southwest Petroleum University，Chengdu 610500，China4 Institute of Geophysical and Geochemical Exploration，Chinese Academy of Geological Sciences，Langfang 065000，China5 Chongqing Institute of Unconventional Oil and Gas，Chongqing University of Science and Technology，Chongqing 401331，China摘要地震波在含裂隙岩石内传播时，很大程度上会受 到 裂 隙 系 统 与 其 内 的 流 体 所 影 响 本 文 在Chapman 提出的频变各向异性理论的基础上，研究气水两相流体受频率影响的程度 不同于许多局限于单一流体假设的频变各向异性理论研究，本文着重于两相流体部分饱和的情况 因此计算频变各向异性弹性常数尤为重要，本文考虑了气水两相的相对渗透率对横波速度及其衰减的影响，并引入了基于分形理论的相对渗透率模型 首先研究在不同分形维数的情况下，气水两相相对渗透率随含水饱和度的变化趋势，并且随着该变化对有效流体迁移率的影响 气体的相对渗透率与分形维数成正比例关系，而水的相对渗透率与分形维数成反比例关系 随后根据数值算例计算双相不混溶流体饱和裂隙岩石频变各向异性弹性模量的方程，得到横波速度及横波衰减，对比分析相对渗透率及AbstractWhen seismic waves propagate in fracturedrocks，they are largely affected by the fracture system andthe fluids in them To discuss the influence of fluid flow infractured rock on seismic wave transmission，the theory ofpores fluid should be introduced，including the pore elasticwave theory based on Biot theory and the fluid substitutionmethod based on Gassmann fluid substitution equation Onthe basis of the frequency-dependent anisotropy theoryproposed by Chapman，this paper studies the degree of theinfluence of the frequency of the gas-water two-phase fluidUnlike many theoretical studies of frequency-dependentanisotropy that are limited to a single fluid assumption，thispaper focuses on the partially saturated two-phase fluidTherefore，it is very important to calculate the frequency-dependent anisotropic elastic constant In this paper，theinfluence of the relative permeability of gas-water twophases on the shear wave velocity and its attenuation areconsidered，and a relative permeability model based onfractal geometry is introduced Firstly，the variation trendof gas-water relative permeability with water saturationunder different fractal dimensions is studied，and the effectof this change on the effective fluid mobility is studiedThe relative permeability of gas is proportional to the fractal地球物理学进展www progeophys cn2023，38(1)分形维数的变化对横波速度和横波衰减的影响 根据算例结果可知，在不同频率下，相对渗透率对横波速度和横波衰减的影响程度不同，在中频时最大 引入不同的相对渗透率模型，能在中频时观察到其对横波速度和衰减的不同影响关键词分形理论;部分饱和;相对渗透率模型;频变各向异性;Chapman 理论;气水两相流体中图分类号P631文献标识码Adoi:10 6038/pg2023GG0141dimension，while the relative permeability of the waterphase is inversely proportional to the fractal dimensionThe effective fluid mobility decreases with the increase ofwater saturation，and the rate of decrease is fast at first andthen slow Then，according to a numerical example，theequationoffrequency-dependentanisotropicelasticmodulus of two-phase immiscible fluid-saturated fracturedrock is calculated，and the shear wave velocity and itsattenuation are obtained The influence of the change ofrelative permeability and fractal dimension on the shearwave velocity and attenuation is compared and analyzedAccording to the results of the calculation example，it canbe seen that the relative permeability has different effectson the shear wave velocity and attenuation at differentfrequencies，andisthelargestattheintermediatefrequencyIntroducingdifferentrelativepermeabilitymodels，differenteffectsonshearwavevelocityandattenuation can be observed at intermediate frequenciesAt medium frequency and low water saturation，the shearwave velocity is inversely proportional to the shear waveattenuation factor and fractal dimension When the watersaturation is higher than 0.85，the shear wave velocity isproportional to the fractal dimensionKeywordsFractal geometry;Partially saturated;elativepermeabilitymodel;Frequency-depe