ABSTRACT: 本文典型地質(zhì)模型三維重力正演模擬研究是在二維重力正演方法總結(jié)的基礎(chǔ)上，對(duì)地質(zhì)模型作三維重力正演探究。其中所建的地質(zhì)模型以球體為主。分別導(dǎo)出了二維與三維重力布格異常，重力異常各階導(dǎo)數(shù)公式。在MATLAB環(huán)境下實(shí)現(xiàn)了模型的二維與三維重力異常曲線圖。結(jié)合二維重力正演的分析方法，本文對(duì)模型進(jìn)行了三維重力正演分析，對(duì)比討論了三維重力正演與二維重力正演的優(yōu)缺點(diǎn)，得到了二維重力正演只能反應(yīng)地質(zhì)體垂直切片的重力信息，三維重力正演可以就反映出地質(zhì)體的整個(gè)重力信息，小的局部地質(zhì)體可以通過(guò)高階導(dǎo)數(shù)分析得出其規(guī)模形狀的結(jié)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.

總結(jié)

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