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文章名稱:
A Jump Condition Capturing Finite Difference Scheme for Spontaneous Potential Log
自然电位测井的间断条件捕捉有限差分格式
作者名稱:
李灿华(Can-Hua Li) ； 潘克家(Ke-Jia Pan)
資料來原:
湖南師範大學自然科學學報 ； 33 卷 1 期
(2010 / 03 / 30) ，
P17 - 22
內容摘要:
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.
A Jump Condition Capturing Finite Difference Scheme for Spontaneous Potential Log
自然电位测井的间断条件捕捉有限差分格式
作者名稱:
李灿华(Can-Hua Li) ； 潘克家(Ke-Jia Pan)
資料來原:
湖南師範大學自然科學學報 ； 33 卷 1 期
(2010 / 03 / 30) ，
P17 - 22
內容摘要:
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.
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