地层渗透参数反演计算  

Numerical Inversion for Permeability Parameters of Formation

作　　者：刘福平[1,2] 王安玲[1] 杨长春[2] 

机构地区：[1]北京印刷学院,北京102600 [2]中国科学院地质与地球物理研究所,北京100029

出　　处：《计算物理》2013年第6期879-885,共7页Chinese Journal of Computational Physics

基　　金：北京印刷学院校级重点资助项目(E-a-2013-19);北京市属市管高等学校人才强教计划资助项目(PHR201107145);北京市教育委员会科技计划重点项目资助(KZ20110015017);国家自然科学基金(61272030)资助项目

摘　　要：利用渗流源网格压力(及井底压力)对网格渗透率导数关系(称为渗透率压力场敏感系数)实现由三维渗流方程压强数值解计算井底压力对网格渗透参数导数的计算.基于渗透率压力场敏感系数的计算结果构造地层渗透参数反演方程,由多井系统井压监测数据实现反演地层渗透参数的计算.算例显示:反演方法对均匀(或分块均匀)油藏模型的计算取得了较好的结果,反演迭代10次后计算结果与模型参数的最大相对误差收敛于1%之内.该方法对油藏动态模拟研究及实现油藏参数动态跟踪具有实际意义.With relation of well-bore and grid-block pressure with any grid permeability parameters of formation （sensitivity coefficients of permeability field） , we derived derivatives with respect to permeability for well indices. Numerical derivatives of well- bore pressure with respect to permeability of any grid with numerical solution of 3D fluid equation in porous media are given. Numerical calculation of sensitivity coefficients of permeability field for multi-well system is realized. Based on sensitivity coefficients, an inverse iterative equation is constructed by conjugate method. Numerical calculation for permeability parameters of formation is realized. It shows that： If permeability is uniform or block uniform, relative error of inverse permeability is less than one hundredth as inversely iterating 10 times. It is significant for dynamic simulation and examination of reservoir.

关 键 词：渗透参数 敏感系数 地层渗透参数反演 油藏动态模拟 

分 类 号：O357.3[理学—流体力学]