【作者】 邱之云；

【导师】 王万银；

【作者基本信息】 长安大学 ， 地球探测与信息技术， 2007， 硕士

【摘要】 复杂形体重、磁异常正演从形体角度出发可以分为三度体和二度体;按求解域可分为空间域和频率域。按积分方式可以分为有限单元法和边界单元法。在有限单元法中又包括点元法、线元法和面元法。重、磁异常正演问题在空间域研究较多,而在频率域研究较少。本文研究的问题是频率域直立六面体(点元法)的正演问题。本文在前人研究的基础上,给出了完整的频率域直立六面体重、磁异常及各阶导数正演方法。并通过大量模型试验,总结出根据模型参数计算频率域截止频率和采样间隔的经验公式,保证了频率域正演计算结果的精度。针对四种不同测网(平面规则网、平面不规则网、曲面规则网、曲面不规则网)设计了相应的计算方法。采用Fortran 90标准编制了相应的计算程序,并进行了模型测试。更多还原

【Abstract】 The forward problem which of gravity and magnetic anomalies caused by irregular bodies can be divided into three-dimensional and two-dimensional bodies in body shape; it also be divided into the space domain and frequency domain in calculating domain; and also be divided into the finite element method and boundary element method in numerical integral method. The forward problem can be divided into vertical cuboid element, the pillar element and the surface element again in the finite element. The forward problem studies have more in space domain than in frequency domain. The forward problem of vertical cuboid element in frequency domain was developed in this paper.In the frequency domain, the forward calculating method of gravity and magnetic anomalies and its arbitrary order derivatives was developed in this paper. Through a much theoretical model Experiments, a empirical formula about cut-off frequency and sampling interval was derived according to the size of the models. Aim at four kinds of measures net (flat regular net, flat irregular net, curved regular net, curved irregular net) designed to correspond numerical method. Adopted Fortran 90 standards to draw up to correspond of calculation procedure, and carried on model a test.更多还原