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复杂形体重磁异常的等参数有限元积分算法研究

Keywords: 重磁正演,高斯积分公式,等参数有限单元,复杂形体

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Abstract:

?重力及磁法勘探的正演问题从本质上说均涉及到积分计算。当前的重磁勘探正演计算方法大部分可归为解析积分法,但是对于-些复杂的形体还难以导出解析式。本文提出了-种计算重力和磁力异常的新算法,其原理是利用在等参数有限元上的高斯数值积分公式,直接计算面积元、体积元的异常而实现积分。理论研究和模型计算结果表明,该方法不必计算对数函数及反三角函数,可以保证较高的精确性,程序易实现。特别是此法可以利用曲线、曲面表述任何复杂形态的地质体,为计算任意复杂形体的重磁异常提供了-种新途径。

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