Abstract
本文典型地质模型三维重力正演模拟研究是在二维重力正演方法总结的基础上，对地质模型作三维重力正演探究。其中所建的地质模型以球体为主。分别导出了二维与三维重力布格异常，重力异常各阶导数公式。在MATLAB环境下实现了模型的二维与三维重力异常曲线图。结合二维重力正演的分析方法，本文对模型进行了三维重力正演分析，对比讨论了三维重力正演与二维重力正演的优缺点，得到了二维重力正演只能反应地质体垂直切片的重力信息，三维重力正演可以就反映出地质体的整个重力信息，小的局部地质体可以通过高阶导数分析得出其规模形状的结论。 The study of three-dimensional gravity forward of typical geological model was based on the two- dimensional gravity forward method. The sphere is presented as the main geological model, which derives two-dimensional and three-dimensional gravitational Bouguer anomaly, the gravitational anomaly formula of every derivative respectively. The two-dimensional and three-dimensional gravity anomaly curve was achieved in the MATLAB environment. Combining with the analytical method of two-dimensional gravity forward modeling, this paper conducted a three-dimensional gravity forward modeling analysis, as well as compared and discussed the advantages and disad-vantages of two-dimensional gravity forward and three-dimensional gravity forward, and then got the results that two-dimensional gravity forward can only reflect gravity information of geological vertical slice, while three-dimensional gravity forward can reflect gravity information of the whole geological body. Small local geological body can obtain its size and shape through analyzing high- order derivative.
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