孔隙度敏感系数的数值计算  

Numerical Calculation of Sensitivity Coefficients to the Porosity

作　　者：刘福平[1] 杨长春[1] 

机构地区：[1]中国科学院地质与地球物理研究所,北京100101

出　　处：《计算物理》2003年第1期37-43,共7页Chinese Journal of Computational Physics

基　　金：国家"973"项目(G1999043311)资助

摘　　要：　由渗流微分方程定解问题,利用格林互易定理导出了网格压力对孔隙度的敏感系数,再由Peaceman方程给出了井底压力对孔隙度的敏感系数.借助三维不均匀非稳定渗流场的压强数值解计算了井底压力对孔隙度的敏感系数,并用直接求解敏感系数的方法进行了验证.\ The sensitivity coefficients to the porosity are derived from the initial boundary value problems for the fluid equations in porous media by the Green's Reciprocity Principle. The sensitivity coefficients of wellbore pressure to the porosity are obtained by the Peaceman's equation and calculated with a numerical method for the 3D transient anisotropic fluid equation in porous media and verified with the direct method. The computed results are in agreement with those obtained with the direct method.

关 键 词：孔隙度 敏感系数 数值计算 格林互易定理 地球物理反演 渗流 井底压力 油藏 

分 类 号：P618.13[天文地球—矿床学] O357.3[天文地球—地质学]