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Fourier-domain modeling of gravity effects caused by a vertical polyhedral prism, with application to a water reservoir storage process
Geophysics ( IF 3.0 ) Pub Date : 2020-10-22 , DOI: 10.1190/geo2020-0077.1 Yin Zhou 1 , Leyuan Wu 1 , Bin Wu 1 , Bing Cheng 1 , Helin Wang 1 , Longwei Chen 2 , Shiteng Gao 1 , Qiang Lin 1
Geophysics ( IF 3.0 ) Pub Date : 2020-10-22 , DOI: 10.1190/geo2020-0077.1 Yin Zhou 1 , Leyuan Wu 1 , Bin Wu 1 , Bing Cheng 1 , Helin Wang 1 , Longwei Chen 2 , Shiteng Gao 1 , Qiang Lin 1
Affiliation
We have developed a new Fourier-domain algorithm for the modeling of gravity effects caused by a vertical polyhedral prism. Simplified and more compact Fourier-domain expressions are derived for the vertical gravity anomaly on a 2D plane either above, in the middle of, or below the vertical polyhedral prism. A new Fourier-domain algorithm, which combines a low-order Gauss fast Fourier transform (FFT) algorithm and a low-order nonuniform FFT algorithm, to permit polar sampling near the zero wave vector, is introduced. To validate the numerical efficiency of the new algorithm, we carry out a series of synthetic tests. Numerical results show that the new algorithm is superior in numerical accuracy and efficiency compared to a pure Gauss-FFT algorithm, and both Fourier methods run much faster than traditional space-domain analytical solutions. We then apply the Fourier forward algorithms to the prediction of vertical component of gravity at many survey points, as a function of the water level of a reservoir located in Xianlin, Hangzhou, China. The reservoir geometry is approximated by a single vertical polyhedral prism. Water storage corresponds to increased heights of the polyhedral prism. Detailed maps of vertical gravity value changes corresponding to a water level rise of 5 and 10 m, with spatial resolution , on the local topography covering a study area of approximately around the water reservoir, are calculated using the new algorithm. Then, the gravity values are classified according to the accuracy of the gravimeter, providing a reference of optimal site selection for a proposed cold-atom gravimetry survey to be carried out in the near future.
更新日期：2020-10-27
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