RESERVOIR DESCRIPTION BY USING A PIECEWISE CONSTANT LEVEL SET METHOD

作     者：Hongwei Li Center for Integrated Petroleum Research,University of Bergen,Norway Department of Mathematics,Capital Normal University,Beijing 100037,China Xuecheng Tai Department of Mathematics,University of Bergen,Norway Division of Mathematical Sciences,School of Physical and Mathematical Sciences,Nanyang Technological University,Singapore Sigurd Ivar Aanonsen Center for Integrated Petroleum Research,University of Bergen,Norway Department of Mathematics,University of Bergen,Norway 

作者机构：Center for Integrated Petroleum Research University of Bergen Norway Belting Department of Mathematics University of Bergen Norway Belting 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2008年第26卷第3期

页      面：365-377页

核心收录：

学科分类：081803[工学-地质工程] 08[工学] 0818[工学-地质资源与地质工程] 

基　　金：the Norwegian Research Council Petromaks Programme 

主　　题：Inverse problem Level set method Piecewise constant Operator splitting,Reservoir description 

摘      要：We consider the permeability estimation problem in two-phase porous media flow. We try to identify the permeability field by utilizing both the production data from wells as well as inverted seismic data. The permeability field is assumed to be piecewise constant, or can be approximated well by a piecewise constant function. A variant of the level set method, called Piecewise Constant Level Set Method is used to represent the interfaces between the regions with different permeability levels. The inverse problem is solved by minimizing a functional, and TV norm regularization is used to deal with the ill-posedness. We also use the operator-splitting technique to decompose the constraint term from the fidelity term. This gives us more flexibility to deal with the constraint and helps to stabilize the algorithm.