物探化探计算技术
物探化探計算技術
물탐화탐계산기술
COMPUTING TECHNIQUES FOR GEOPHYSICAL AND GEOCHEMICAL EXPLORATION
2014年
3期
289-296
,共8页
赖刘保%席振铢%王鹤%侯海涛%朱伟国%刘愿愿%蒋欢
賴劉保%席振銖%王鶴%侯海濤%硃偉國%劉願願%蔣歡
뢰류보%석진수%왕학%후해도%주위국%류원원%장환
线源近区%积分方程法%瞬变电磁%系统迭代法
線源近區%積分方程法%瞬變電磁%繫統迭代法
선원근구%적분방정법%순변전자%계통질대법
near region of a line source%integral equation method%transient electromagnetic%method of system iterative
积分方程法求解大型稀疏矩阵制约线源近区三维瞬变电磁正演模拟的速度,采用系统迭代法,把整个异常体区域看成一个系统,每个块状异常体在各自区域内形成子系统,单独处理各个异常体,并建立子系统间的关系,从而得到整个系统的值,这样不仅节省了内存和计算时间,而且降低了离散矩阵的条件数,提高计算速度和精度。通过与解析解的对比证明了该方法的正确性,简单和复杂三维体的二次水平电场和垂直磁场瞬态响应计算结果表明:①二次水平电场值反映了三维异常体的电性特征,同时其极值对应异常体的左右边界;②垂直磁场响应反映了异常体的纵向分辨率,曲线随偏移距增加而变缓。
積分方程法求解大型稀疏矩陣製約線源近區三維瞬變電磁正縯模擬的速度,採用繫統迭代法,把整箇異常體區域看成一箇繫統,每箇塊狀異常體在各自區域內形成子繫統,單獨處理各箇異常體,併建立子繫統間的關繫,從而得到整箇繫統的值,這樣不僅節省瞭內存和計算時間,而且降低瞭離散矩陣的條件數,提高計算速度和精度。通過與解析解的對比證明瞭該方法的正確性,簡單和複雜三維體的二次水平電場和垂直磁場瞬態響應計算結果錶明:①二次水平電場值反映瞭三維異常體的電性特徵,同時其極值對應異常體的左右邊界;②垂直磁場響應反映瞭異常體的縱嚮分辨率,麯線隨偏移距增加而變緩。
적분방정법구해대형희소구진제약선원근구삼유순변전자정연모의적속도,채용계통질대법,파정개이상체구역간성일개계통,매개괴상이상체재각자구역내형성자계통,단독처리각개이상체,병건립자계통간적관계,종이득도정개계통적치,저양불부절성료내존화계산시간,이차강저료리산구진적조건수,제고계산속도화정도。통과여해석해적대비증명료해방법적정학성,간단화복잡삼유체적이차수평전장화수직자장순태향응계산결과표명:①이차수평전장치반영료삼유이상체적전성특정,동시기겁치대응이상체적좌우변계;②수직자장향응반영료이상체적종향분변솔,곡선수편이거증가이변완。
The integral equation method for solving large sparse matrix controls 3D transient electromagnetic forward modeling for near region of a line source in speed.It is not only saving memory and computing time,but also reducing the discrete matrix condition number for improving the calculation speed and accuracy by the method of system iterative that we take the anomaly structure as a whole system,the substructure from subsystems within themselves and solve the various abnormal body alone to establish the relationship between the subsystem,thus get the whole system.This method is correct by comparison with the analytical solution.The secondary horizontal electric field and vertical magnetic field transient response calculation results of the simple and complex three-dimensional body show that:the secondary horizontal electric field value reflects the electrical char-acteristics of three-dimensional abnormal body,its extremun corresponding to left and right boundary of the abnormal body ;vertical magnetic field response reflects the longitudinal resolution of abnormal body,curves increasing with offset slowly.