自然电位测井数学模型与求解方法

Mathematical Modeling and Numerical Method for the Spontaneous Potential Well-logging

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。

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 mathemati-cal model and its well-posedness, limit behavior of solutions and a reduced mathematical model, efficient numerical methods, examples and applications.