| 二维与三维位场在频率域的等价定理 |
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| 引用本文： | 杨文采.二维与三维位场在频率域的等价定理[J].地球物理学报,1979,22(1):89-96. |
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| 作者姓名： | 杨文采 |
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| 摘 要： | 根据位场在频率域的泊松方程和积分表达式,证明了三维位场的频谱在座标轴上与相应二维场频谱成正比的等价定理,并以几种模型作为定理的例证。
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| 关 键 词： | 等价定理 二维位场 频率域 场频谱 二维物体 磁化强度 三维物体 重力场 积分表达式 偶极 |
| 收稿时间： | 1977-12-17 |
THEOREM OF EQUIVALENCE BETWEEN THE TWO- DIMENSIONAL AND THREE-DIMENSIONAL POTENTIAL FIELDS IN THE FREQUENCY DOMAIN |
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| YANG WEN-CAI.THEOREM OF EQUIVALENCE BETWEEN THE TWO- DIMENSIONAL AND THREE-DIMENSIONAL POTENTIAL FIELDS IN THE FREQUENCY DOMAIN[J].Chinese Journal of Geophysics,1979,22(1):89-96. |
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| Authors: | YANG WEN-CAI |
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| Abstract: | Base on the integral expression and poisson's equation of potential field in frequency domain, it can be shown that the spectrum of three-dimensional potential field on coordinate axes is proportional to the spectrum of the corresponding two-dimensional potential field. This is called the theorem of equivalence. Examples are given for several models. |
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