裂缝诱导HTI双孔隙介质中的裂缝参数分析
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摘要
裂缝诱导HTI双孔隙介质模型是将一组垂直排列的裂缝系统嵌入到统计各向同性的孔隙岩石基质系统中而建立的.为了研究裂缝参数对地震波在该模型中传播规律的影响,本文分别对裂缝弱度、裂缝孔隙度和裂缝渗透率这三个主要的裂缝参数进行了分析研究.数值结果表明,裂缝诱导HTI双孔隙介质中,裂缝弱度越大,介质的各向异性强度越强;与基质孔隙系统相比,裂缝系统孔隙度对介质等效孔隙度的影响很小,而裂缝系统渗透率的增大则将显著提高介质在裂缝发育方向上的等效渗透率,这符合对裂缝系统"低孔"、"高渗"特性的认识.此外,裂缝系统渗透率的增大也使慢纵波的振幅显著增强.
A fracture-induced horizontal transverse isotropic(HTI) double-porosity medium has been established by embedding a set of vertical fractures into the isotropic porous background rock in previous paper.In this paper,three main parameters of the fracture system,i.e.,fracture compliance,fracture porosity and fracture permeability,are studied to analyze their influence on seismic wave.The results show that the anisotropy increases with growing fracture compliance;comparing with the matrix system,the contribution of fracture porosity to equivalent porosity is small,while the influence of fracture permeability on equivalent permeability is great,which is in accord with the characteristic of low-porosity high-permeability of fracture system.Additionally,increasing fracture permeability can also enhance the amplitude of slow P-wave notably.
A fracture-induced horizontal transverse isotropic(HTI) double-porosity medium has been established by embedding a set of vertical fractures into the isotropic porous background rock in previous paper.In this paper,three main parameters of the fracture system,i.e.,fracture compliance,fracture porosity and fracture permeability,are studied to analyze their influence on seismic wave.The results show that the anisotropy increases with growing fracture compliance;comparing with the matrix system,the contribution of fracture porosity to equivalent porosity is small,while the influence of fracture permeability on equivalent permeability is great,which is in accord with the characteristic of low-porosity high-permeability of fracture system.Additionally,increasing fracture permeability can also enhance the amplitude of slow P-wave notably.
引文
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[12]周德华,焦方正,葛家理.裂缝渗流研究最新进展.海洋石油,2004,24(2):34-38.Zhou D H,Jiao F Z,Ge J L.Investigating progress for fluidflowing in fractured media.Offshore Oil(in Chinese),2004,24(2):34-38.
[13]Streltsova T D.Hydrodynamics of groundwater flow in afractured formation.Water Resources Research,1976,12(3):405-414.
[14]Bibby R.Mass transport of solutes in dual-porosity media.Water Resources Research,1981,17(4):1075-1081.
[15]Neretinieks I,Rasmuson A.Diffusion in the rock Matrix:animportant factor in redounded retardation.Journal ofGeophysical Research,1988,85(B5):4379-4397.
[16]刘建军,刘先贵,胡雅礽等.裂缝性砂岩油藏渗流的等效连续介质模型.重庆大学学报(自然科学版),2000,23(增刊):158-161,180.Liu J J,Liu J G,Hu Y R,et al.The equivalent continuummedia model of fracture sand stone reservoir.Journal ofChongqing University(Natural Science Edition)(inChinese),2000,23(Suppl.):158-161,180.
[17]刘建军,杜广林.裂缝性砂岩油藏流-固耦合数学模型.新疆石油学院学报,2002,14(3):36-40.Liu J J,Du G L.Study on mathematic models of fluid-solidcoupled flow in fractured oil reservoir of sandy rock.Journalof Xinjiang Petroleum Institute(in Chinese),2002,14(3):36-40.
[18]冯金德,程松林,李春兰等.裂缝性低渗透油藏等效连续介质模型.石油钻探技术,2007,35(5):94-97.Feng J D,Cheng S L,Li C L,et al.Equivalent continuousmedium model for fractured low-permeability reservoir.Petroleum Drilling Techniques(in Chinese),2007,35(5):94-97.
[2]Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid.I.Low-frequency range.J.Acoust.Soct.Am.,1956,28(2):168-178.
[3]Biot M A.Thermoelasticity and irreversible thermodynamics.J.Appl.Phys.,1956,27:240-253.
[4]Barenblatt G I,Zheltov Iu P,Kochina I N.Basic concepts inthe theory of seepage of homogeneous liquids in fissuredrocks.J.Appl.Math.Mech.,1960,24(5):1286-1303.
[5]Warren J E,Root P J.The behavior of naturally fracturedreservoirs.Soc.Pet.Engg.J.,1963,3(3):245-255.
[6]Tuncay K,Corapcioglu M Y.Effective stress principle forsaturated fractured porous media.Water Resources Research,1995,31(12):3103-3106.
[7]Berryman J G,Wang H F.The elastic coefficients of double-porosity models for fluid transport in jointed rock.J.Geophys.Res.,1995,100(B12):24611-24627.
[8]陈勉,陈至达.多重孔隙介质的有效应力定律.应用数学和力学,1999,20(11):1121-1127.Chen M,Chen Z D.Effective stress laws for multi-porositymedia.Applied Mathematics and Mechanics(in Chinese),1999,20(11):1121-1127.
[9]黎水泉,徐秉业.双重孔隙介质流固耦合理论模型.水动力学研究与进展,2001,16(4):460-466.Li S Q,Xu B Y,Theory model of fluid flow throughdeformable dual porosity media.Journal of Hydrodynamics(in Chinese),2001,16(4):460-466.
[10]Berryman J G,Wang H F.Elastic wave propagation andattenuation in a double-porosity dual-permeability medium.Int.J.Rock Mech.Min.Sci.,2000,37(1-2):63-78.
[11]杜启振,孔丽云,韩世春.裂缝诱导各向异性双孔隙介质波场传播特征.地球物理学报,2009,52(4):1049-1058.Du Q Z,Kong L Y,Han S C.Wavefield propagationcharacteristics in the fracture-induced anisotropic double-porosity medium.Chinese J.Geophys.(in Chinese),2009,52(4):1049-1058.
[12]周德华,焦方正,葛家理.裂缝渗流研究最新进展.海洋石油,2004,24(2):34-38.Zhou D H,Jiao F Z,Ge J L.Investigating progress for fluidflowing in fractured media.Offshore Oil(in Chinese),2004,24(2):34-38.
[13]Streltsova T D.Hydrodynamics of groundwater flow in afractured formation.Water Resources Research,1976,12(3):405-414.
[14]Bibby R.Mass transport of solutes in dual-porosity media.Water Resources Research,1981,17(4):1075-1081.
[15]Neretinieks I,Rasmuson A.Diffusion in the rock Matrix:animportant factor in redounded retardation.Journal ofGeophysical Research,1988,85(B5):4379-4397.
[16]刘建军,刘先贵,胡雅礽等.裂缝性砂岩油藏渗流的等效连续介质模型.重庆大学学报(自然科学版),2000,23(增刊):158-161,180.Liu J J,Liu J G,Hu Y R,et al.The equivalent continuummedia model of fracture sand stone reservoir.Journal ofChongqing University(Natural Science Edition)(inChinese),2000,23(Suppl.):158-161,180.
[17]刘建军,杜广林.裂缝性砂岩油藏流-固耦合数学模型.新疆石油学院学报,2002,14(3):36-40.Liu J J,Du G L.Study on mathematic models of fluid-solidcoupled flow in fractured oil reservoir of sandy rock.Journalof Xinjiang Petroleum Institute(in Chinese),2002,14(3):36-40.
[18]冯金德,程松林,李春兰等.裂缝性低渗透油藏等效连续介质模型.石油钻探技术,2007,35(5):94-97.Feng J D,Cheng S L,Li C L,et al.Equivalent continuousmedium model for fractured low-permeability reservoir.Petroleum Drilling Techniques(in Chinese),2007,35(5):94-97.
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