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井—地三维激发极化数据快速反演
引用本文:吕玉增,阮百尧,彭苏萍. 井—地三维激发极化数据快速反演[J]. 物探与化探, 2012, 36(3): 473-478
作者姓名:吕玉增  阮百尧  彭苏萍
作者单位:1. 煤炭资源与安全开采国家重点实验室,北京100083;桂林理工大学地球科学学院,广西桂林541004
2. 桂林理工大学地球科学学院,广西桂林,541004
3. 煤炭资源与安全开采国家重点实验室,北京,100083
基金项目:国家自然科学基金(40774057);全国危机矿山接替找矿项目新技术新方法示范项目(200799086);广西自然科学基金(桂科自0832263);广西地质工程中心重点实验室项目(桂科能07109011-K009);桂林理工大学科研启动基金项目
摘    要:为实现井—地激发极化数据的快速反演,分析三维有限元正演四面体网格剖分形成的系数矩阵的元素规律,应用MSR非零元素压缩存储和SSOR-PCG方程求解技术,提高了正演执行效率。在正演基础上,利用Jacobian矩阵与正演方程的简单关系,采用共轭梯度法求解最小二乘目标函数的模型修改量,避开Jacobian矩阵的直接计算和存储,实现了三维井-地激电数据的分钟级快速反演。模型正演合成数据的反演结果表明,能基本再现已知的模型。

关 键 词:井—地激电  激发极化法  最小二乘快速反演

THREE-DIMENSIONAL FAST INVERSION OF BOREHOLE-SURFACE DATA
LV Yu-zeng , RUAN Bai-yao , PENG Su-ping. THREE-DIMENSIONAL FAST INVERSION OF BOREHOLE-SURFACE DATA[J]. Geophysical and Geochemical Exploration, 2012, 36(3): 473-478
Authors:LV Yu-zeng    RUAN Bai-yao    PENG Su-ping
Affiliation:1(1.State Key Laboratory of Coal Resources and Safe Mining,China University of Mining & Technology,Beijing 100083,China;2.College of Earth Sciences,Guilin University of Technology,Guilin 541004,China)
Abstract:Based on an analysis of coefficient matrix formed from three-dimensional FEM(finite element method) forward with tetrahedral cells division,the authors used MSR(Modified Sparse Row) memory method and SSOR-PCG for solving equations to realize the fast forward of borehole-surface IP surveying.The inversion technique is based on the least-squares and CG(conjugate gradient),and it makes use of the simple relationship between Jacobian matrix A and the forward equation,which needs only to solve and multiplying a vector and avoids direct calculation and access of matrix.The 3-D fast inversion with minutes of PC time is achieved.The inversion results of three-dimensional borehole-surface forward synthetic data reproduce the known models approximately.
Keywords:borehole-surface IP  induced polarization(IP)  least-squares fast inversion
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