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电法测井的三维有限元模拟
引用本文:李长伟,熊彬,吕玉增.电法测井的三维有限元模拟[J].物探与化探,2012,36(4):585-590.
作者姓名:李长伟  熊彬  吕玉增
作者单位:1. 桂林理工大学地球科学学院,广西 桂林 541004;中南大学地球科学与信息物理学院,湖南 长沙 410083
2. 桂林理工大学地球科学学院,广西 桂林,541004
基金项目:国家自然科学基金项目(40774057,40974077);国家危机矿山接替资源勘查新技术新方法项目(200799086);广西隐伏金属矿产勘查重点实验室项目(12-071-20);广西自然科学基金项目(2011GXNSFA018003);桂林理工大学科研启动费;中南大学研究生教育创新工程项目(2010ybfz052)
摘    要:研究了不同测量方式(井-地,地-井,井-井)下点源场井中电法的三维有限元数值模拟。考虑到深度方向上大范围的网格剖分和井眼的影响及井-井测量等因素,采用放射状三棱柱单元的网格剖分方式,以提高网格质量,减少剖分单元数;给出了三棱柱单元的坐标变换公式,进行精确的单元积分,减少了单元积分时间;结合非结构化网格技术,实现了复杂模型的模拟;开发出相应的程序实现了复杂条件下(如考虑井眼影响、井井测量、倾斜井情形、地形起伏等)电法测井的三维有限元模拟,数值算例验证了方法的可靠性及计算效率,并对不同情形下的异常响应进行了分析,为进一步的反演工作奠定了基础。

关 键 词:三维有限元模拟  电法测井  井眼影响

THREE-DIMENSIONAL FINITE ELEMENT MODELING OF ELECTRICAL WELL LOGGING
LI Chang-Wei , XIONG Bin , Lü Yu-Zeng.THREE-DIMENSIONAL FINITE ELEMENT MODELING OF ELECTRICAL WELL LOGGING[J].Geophysical and Geochemical Exploration,2012,36(4):585-590.
Authors:LI Chang-Wei  XIONG Bin  Lü Yu-Zeng
Institution:LI Chang-Wei1,2,XIONG Bin1,Lü Yu-Zeng1(1.College of Earth Sciences,Guilin University of Technology,Guilin 541004,China;2.School of Geosciences and Info-Physics,Central South University,Changsha 410083,China)
Abstract:Mesh techniques were studied for the reason of large computational domain and model complexity in three-dimensional finite element modeling of electrical well logging.The authors employed a radial grid with parallel tri-prism to improve mesh quality and reduce the number of elements;Accurate element integration of parallel tri-prism was implemented by an affine transformation in order to shorten elements integral computational time;In combination with the unstructured mesh techniques,modeling under complicated condition was implemented.The computational efficiency and accuracy of the authors’ schemes were examined by numerical experiments of several synthetic models.The modeling results under different situations are discussed.
Keywords:three-dimensional finite element modeling  borehole electric method  tri-prism element
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