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自然电位测井数学模型与求解方法
引用本文:李大潜,蔡志杰,陈娓,谭永基,王文娟,王敬农.自然电位测井数学模型与求解方法[J].测井技术,2012,36(3):211-224.
作者姓名:李大潜  蔡志杰  陈娓  谭永基  王文娟  王敬农
作者单位:1. 复旦大学数学科学学院,上海,200433
2. 上海立信会计学院数学与信息学院,上海,201620
3. 中国石油集团测井有限公司技术中心,陕西西安,710021
摘    要:对石油勘探开发中常用的自然电位测井方法,在以往散见于各处的研究成果及近期研究的基础上,系统地总结了其相应的数学模型,并补充了众多算例,为自然电位测井在轴对称情况下建立了完整的理论框架。有关内容包括自然电位测井数学模型及其适定性,解的极限状态及相应的简化模型,有效求解的数值方法,并揭示了有关自然电位测井方法的算例及应用。

关 键 词:自然电位测井  轴对称情形  数学模型  数值方法

Mathematical Modeling and Numerical Method for the Spontaneous Potential Well-logging
LI Tatsien , CAI Zhijie , CHEN Wei , TAN Yongji , WANG Wenjuan , WANG Jingnong.Mathematical Modeling and Numerical Method for the Spontaneous Potential Well-logging[J].Well Logging Technology,2012,36(3):211-224.
Authors:LI Tatsien  CAI Zhijie  CHEN Wei  TAN Yongji  WANG Wenjuan  WANG Jingnong
Affiliation:1.School of Mathematical Sciences,Fudan University,Shanghai 200433,China;2.School of Mathematics and Information, Shanghai Lixin University of Commerce,Shanghai 201620,China;3.Technical Center, China Petroleum Logging CO.LTD.,Xi’an,Shaanxi 710021,China)
Abstract:Spontaneous potential well-logging is a useful method for the petroleum exploration and exploitation.Based on a series of previous results published separately in diverse journals and a recent research,the authors provide a complete theoretical and numerical framework of the mathematical modeling and numerical method together with examples and applications for the spontaneous potential well-logging in the axi-symmetric case.The contents consist of mathematical model and its well-posedness,limit behavior of solutions and a reduced mathematical model,efficient numerical methods,examples and applications.
Keywords:spontaneous potential well-logging  axi-symmetric case  mathematical modeling  numerical method
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