三层媒质中的镜像法及其在普通电阻率测井中的应用  

Mirror image principle in three-layer media and its application in resistivity log

作　　者：仵杰[1] 曹婷[1] 

机构地区：[1]西安石油大学光电油气测井与检测教育部重点实验室,陕西西安710065

出　　处：《西安石油大学学报（自然科学版）》2015年第1期1-6,8,共6页Journal of Xi’an Shiyou University（Natural Science Edition）

基　　金：陕西省自然科学基础研究计划项目(编号:2013JM5011);陕西省教育厅省级重点实验室重点科研计划项目(编号:12JS079)

摘　　要：将二层媒质中的镜像原理推广到三层媒质,建立点电流源位于任意位置时三层媒质中的电位计算解析公式,应用于计算三电极梯度电极系在三层地层中的测井响应。归纳总结测井响应特征与三电极在地层中的位置关系。电位与三层媒质镜像源的关系揭示了测井响应机理。利用COMSOL有限元软件数值计算验证了三层媒质镜像原理计算三电极梯度电极系测井响应的有效性。三层媒质镜像原理可用于获取各种电极系测井在三层导电媒质中的响应计算解析式,为电极系参数设计和响应特征分析提供理论依据。The mirror image principle in two-layer media is extended to three-layer media. The analytic expression for calculating the potential in three-layer media when point current source locates anywhere is presented,and this analytic expression is used to calculate the log response of three-electrode gradient electrode system in three-layer conductive media. The relationship between log response characteristics and the location of three electrodes in three-layer media is obtained. The relationship between the potential and the mirror image source reveals the log response mechanism. The effectiveness of the application of the mirror image principle in three-layer media to calculating the log response of three-electrode gradient electrode system is verified by numerical calculation using COMSOL software.The mirror image principle in three-layer media can be used for obtaining the analytic expressions for calculating the log responses of various electrode systems in three-layer conductive media,which provides the theoretical basis for the design of electrode parameters and the analysis of log response characteristics.

关 键 词：镜像法 三层导电媒质 梯度电极系 视电阻率 

分 类 号：TE132[石油与天然气工程—油气勘探]