地层渗透参数反演计算

计算物理 ›› 2013, Vol. 30 ›› Issue (6): 879-885.

地层渗透参数反演计算

刘福平^1,2, 王安玲¹, 杨长春²

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

收稿日期:2013-01-03 修回日期:2013-06-04 出版日期:2013-11-25 发布日期:2013-11-25
作者简介:刘福平(1960-),男,博士,教授,主要从事声、电磁波传播理论、数值计算及油藏数值模拟研究和教学,E-mail:fupingliu@bigc.edu.cn,fupingliu60@sina.com.cn
基金资助:
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

Numerical Inversion for Permeability Parameters of Formation

LIU Fuping^1,2, WANG Anhng¹, YANG Changchun²

1. Beijing Institute of Graphic Communication, Beijing 102600, China;
2. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China

Received:2013-01-03 Revised:2013-06-04 Online:2013-11-25 Published:2013-11-25

摘要/Abstract

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.

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

Abstract: 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.

Key words: parameters of permeability, sensitivity coefficients, parameter inversions of formation permeability, dynamic simulation of reservoir

中图分类号:

O357.3

刘福平, 王安玲, 杨长春. 地层渗透参数反演计算[J]. 计算物理, 2013, 30(6): 879-885.

LIU Fuping, WANG Anhng, YANG Changchun. Numerical Inversion for Permeability Parameters of Formation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 30(6): 879-885.

[1]	刘福平, 曹跃祖, 王安玲, 杨长春. 孔隙度数值反演计算[J]. 计算物理, 2010, 27(3): 413-422.
[2]	刘福平, 杨长春. 孔隙度敏感系数的数值计算[J]. 计算物理, 2003, 20(1): 37-43.