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摘要:

本文典型地質模型三維重力正演模擬研究是在二維重力正演方法總結的基礎上，對地質模型作三維重力正演探究。其中所建的地質模型以球體為主。分別導出了二維與三維重力布格異常，重力異常各階導數公式。在MATLAB環境下實現了模型的二維與三維重力異常曲線圖。結合二維重力正演的分析方法，本文對模型進行了三維重力正演分析，對比討論了三維重力正演與二維重力正演的優缺點，得到了二維重力正演只能反應地質體垂直切片的重力信息，三維重力正演可以就反映出地質體的整個重力信息，小的局部地質體可以通過高階導數分析得出其規模形狀的結論。

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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