摘要
自然电位测井是石油勘探中探测地层物理参数的重要手段.自然电位满足交界面具有跳跃间断的椭圆边界值问题.本文提出一种基于笛卡尔网格的间断捕捉方法,求解该椭圆交界面问题.理论分析证明了方法的二阶收敛性,数值例子进一步说明了方法的有效性.
Spontaneous potential(SP) log is an important technique to detect parameters of the formation in petroleum exploitation.The spontaneous potential satisfies an elliptic boundary problem with jump conditions on interfaces.A jump condition capturing method based on Cartesian grid is proposed and applied to solve such elliptic interface problems.Second-order convergence of the method is indicated by analysis.Numerical examples are also provided to show the effciency of the proposed method.
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2010年第1期17-22,共6页
Journal of Natural Science of Hunan Normal University
基金
湖南省教育厅科研资助项目(08C586)
关键词
自然电位测井
椭圆交界面问题
数值模拟
离散极值原理
spontaneous potential log
elliptic interface problems
numerical simulation
discrete maximum principal