摘要
重磁位场正演是反演成像及解释的基础,目前已有的正演算法对复杂形体很难同时兼顾计算精度与计算效率。针对这一问题,提出一种高效、高精度的重磁位场三维数值模拟方法。该方法对重磁位场三维空间域积分沿水平方向进行二维傅里叶变换,把空间域重磁位满足的三维积分问题转化为不同波数之间相互独立的一维积分问题。在垂向上可离散为多个单元积分之和,单元内采用形函数插值,计算精度和效率都较高。该方法充分利用形函数积分的高精度及傅里叶变换的高效性,实现了高效、高精度的重磁位场数值模拟。设计棱柱体模型,模型解析解与所提方法数值解对比表明,该方法理论正确、精度高。设计了垂向连续变化的复杂模型,对比、分析了传统棱柱体均匀剖分与所提方法的计算精度,验证了该方法对于复杂模型具有较强的适用性。
The forward modeling of gravity and magnetic potential fields is the basis of inversion and interpretation.For applicable forward algorithms,it is difficult to consider both calculation accuracy and calculation efficiency in complex conditions.A three-dimensional numerical simulation method for gravity and magnetic potential fields is proposed.It transforms the three-dimensional integration of gravity and magnetic potential fields to one-dimensional integration with independent wave number through two-dimensional Fourier transform in the horizontal direction.The one-dimensional integral can be discretized vertically into the sum of the integrals of multiple elements,and shape function interpolation is conducted within the element.Both the calculation accuracy and efficiency are high.This method makes full use of the high accuracy of the shape function integral and the high efficiency of the Fourier transform.Finally,aprism model is designed,and the analytical solution to the model is compared with the numerical solution to the method,indicating that the theory of the method is correct and the accuracy is high.A complex model with continuous vertical variation is designed,and the accuracy of traditional prism uniform subdivision is compared with the quadratic interpolation of shape function method,proving that the method has a high applicability to the complex model.
作者
周印明
戴世坤
李昆
凌嘉宣
胡晓颖
熊彬
ZHOU Yinming;DAIShikun;LI Kun;LING Jiaxuan;HU Xiaoying;XIONG Bin(School of Geosciences and Info-physciences,CentralSouth University,Changsha,Hunan 410083,China;Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring,Ministry of Education,Changsha,Hunan 410083,China;GME&Geochemical Surveys of BGP,CNPC,Zhuozhou,Hebei 072751,China;College of Earth Sciences,Guilin University of Technology,Guilin,Guangxi 541006,China)
出处
《石油地球物理勘探》
EI
CSCD
北大核心
2020年第5期1149-1159,1168,938,共13页
Oil Geophysical Prospecting
基金
国家重点研发计划项目“面向深部资源勘查的重磁、电磁处理解释软件研发”(2018YFC0603602)、“地下及井中地球物理勘探技术与装备”(2018YFC0603300)
国家自然科学基金项目“桂东北地区岩石圈导电性结构研究”(41674075)联合资助
关键词
重磁位场
三维数值模拟
傅里叶变换
形函数法
gravity and magnetic potential fields
three-dimensional numerical simulation
Fourier transform
shape function method
作者简介
戴世坤,湖南省长沙市岳麓区麓山南路932号中南大学地球科学与信息物理学院,410083。Email:363359189@qq.com;周印明,博士研究生,高级工程师,1979年生。2004年毕业于山东理工大学,获计算机与数学专业学士学位。2007年毕业于中国石油大学(北京),获地球探测与信息技术专业硕士学位。2007年7月起就职于东方地球物理公司综合物化探处,主要从事可控源电磁法方法技术研究、资料处理及软件开发工作。目前在中南大学攻读地球探测与信息技术专业博士学位。
