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基于四叉树网格的MT二维正演
引用本文:王培杰,胡华,徐菲,郭或,陈连木.基于四叉树网格的MT二维正演[J].石油地球物理勘探,2019,54(3):709-718.
作者姓名:王培杰  胡华  徐菲  郭或  陈连木
作者单位:1. 中国地震局地质研究所, 北京 100029;2. 长江大学地球科学学院, 湖北武汉 430100;3. 油气资源与勘探技术教育部重点实验室(长江大学), 湖北武汉 430100;4. 长江大学地球物理与石油资源学院, 湖北武汉 430100
基金项目:本项研究受国家自然科学基金项目“非均匀地中低频电磁辐射源探测与反演定位”(41574064)、“中上扬子区页岩总有机碳含量与复电阻率的关系模型实验研究”(41404087)、“可控源时间域电磁响应三维正演数值模拟研究”(41504096)和国家“973”项目“深部油气储层综合地球物理探测和评价方法”(2013CB228605)联合资助。
摘    要:本文提出了一种基于四叉树网格剖分的大地电磁(MT)响应有限差分正演算法。首先基于四叉树数据结构进行模型网格剖分,然后用待定系数法推导了该网格中各类节点的有限差分计算公式,实现了复杂模型大地电磁响应的正演计算。多个模型计算结果表明,该算法与常规的有限差分法和有限单元法的计算精度相当时,在计算效率上有较大提高。

关 键 词:大地电磁响应  二维正演  四叉树网格  有限差分法  
收稿时间:2018-10-12

Magnetotelluric data 2D forward modeling based on quadtree grid
WANG Peijie,HU Hua,XU Fei,GUO Huo,CHEN Lianmu.Magnetotelluric data 2D forward modeling based on quadtree grid[J].Oil Geophysical Prospecting,2019,54(3):709-718.
Authors:WANG Peijie  HU Hua  XU Fei  GUO Huo  CHEN Lianmu
Affiliation:1. Institute of Geology, China Earthquake Administration, Beijing 100029, China;2. School of Geosciences, Yangtze University, Wuhan, Hubei 430100, China;3. Key Laboratory of Exploration Technology for Oil and Gas Resources, Ministry of Education, Yangtze University, Wuhan, Hubei 430100, China;4. School of Geophysics and Petroleum Resources, Yangtze University, Wuhan, Hubei 430100, China
Abstract:A finite difference algorithm for forward modeling of magnetotelluric (MT) data based on quadtree gridding is proposed in this paper.First the model is gridded based on the quadtree data structure.Then finite difference formulas for different nodes of the mesh are derived with the method of undetermined coefficient, and the magnetotelluric responses are finally obtained by solving difference equations of nodes.The proposed algorithm is tested on several models with reliefs and its validity is proved by the comparison of conventional finite difference and finite element methods.Based on our test results, the proposed algorithm achieves much better calculation efficiency with comparable accuracy.
Keywords:magnetotellurics (MT) response  2D forward modeling  quadtree grid  finite difference method  
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