| 起伏地形上规则二度体复重磁场正演和直接反演 |
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| 引用本文： | 安玉林.起伏地形上规则二度体复重磁场正演和直接反演[J].物探与化探,2003,27(4):284-291. |
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| 作者姓名： | 安玉林 |
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| 作者单位： | 中国地质大学,北京,100083 |
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| 基金项目： | 国家自然科学基金(49974027)，国土资源大调查项目(20002010002206)资助 |
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| 摘 要： | 上接211页13 n个无限薄板叠加场反演13.1 复场展开以Mj代替2Mmj和2fMgj,以F(S)代替G′(S)和T(S),得复场F(S)= nj=1Mjσj-S=- nj=1MjS-σj。(13.1)展开上式,即F(S)=-1(S-σ1)(S-σ2)…(S-σn)×{M1(S-σ2)(S-σ3)…(S-σn)+M2(S-σ1)(S-σ3)…(S-σn)+…+Mn(S-σ1)(S-σ2)…(S-σn-1)}。(13.2)根据(9.2)、(9.9)式有(S-σ1)(S-σ2)…(S-σn)=-1F(S){Φ1+Φ2+…+Φn};Φ1=M1{Sn-1-x1(1)Sn-2+x2(1)Sn-3- …+(-1)n-1x(n-1)(1)},Φ2=M2{Sn-1-x1(2)Sn-2+x2(2)Sn-3- …+(-1)n-1x(n-1)(2)},Φn=Mn{Sn-1-x1(n)S…
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| 关 键 词： | 起伏地形 正演 直接反演 规则二度体重磁场 物性等参数 复重磁场 地磁测量 航磁测量 |
| 文章编号： | 1000-8918(2003)04-0284-12 |
| 收稿时间： | 2002-03-10 |
THE FORWARD AND DIRECT INVERSION OF COMPLEX GRAVITY AND MAGNETIC FIELDS OF REGULAR 2D-BODIES UNTER THE CONDITION OF UNDULATE TOPOGRAPHY |
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| Institution: | China University of Geosiences, Beijing 100083, China |
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| Abstract: | The forward and direct inversion of complex gravity and magnetic field of regular 2D-bodies under the condition of undulate topography consists of four successive papers. The forward problem of complex gravity and magnetic fields is expounded in the first and the second paper. Mainly using Russian scholars' method, the author deduced strictly and simply the complex gravity and magnetic field expressions of regular 2D-bodies and their combination bodies in complex field. Compared with the gravity and magnetic field expressions of these bodies in rectangular coordinates system, these expressions of complex fields have very simple forms. In the third and the fourth paper, the direct inversion problem of complex gravity and magnetic fields is expounded, which makes up the core of the serial papers. In these two papers, according to the complex gravity and magnetic field expressions of regular 2D-bodies and their combination bodies, the author first established linear simultaneous equations for solving middle variables in the complex coordinates system by use of his creative method of linearization, then established the high order complex equation by use of middle variables to be solved out. As for the linear simultaneous equations and the high-order complex equation, the author solved successfully the direct inversion problem of complex gravity and magnetic fields of almost all regular 2D-bodies under the condition of undulate topography (or under the condition that the observation line lies in the arbitrary direction of 2D-anomaly sources or is even closed). |
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| Keywords: | undulate topography regular 2D-body forward problem of complex gravity and magnetic fields direct inversion theory |
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