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1 Acta Geophysica

1 2020

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Numerical simulation of shear wave attenuation in borehole inserted by a horizontal fracture

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Yan B. , Ou W. , Huang X. , da Silva N. V.

tom Vol. 68, no. 6

1715--1726

The amplitude of shear waves is attenuated when passing through horizontal fractures crossing a borehole. In this study, we investigate the amplitude attenuation of shear waves throughout simulation of full-wave acoustic logging with the fnite-diference method. As the fracture aperture is very small, it needs to be represented in a very fne gird when carrying out fnite-diference simulation. Therefore, the variable-grids fnite-diference method is adopted to avoid over-sampling in the non-fracture regions, yielding substantial savings in computational cost. We demonstrate the accuracy of waveform modeling with the variable-grid fnite-diference by benchmarking against that obtained with the real-axis integrating method. We investigated the efects of several important parameters including fracture aperture, distance from receiver to fracture, borehole radius and extended distance utilizing that benchmarked variable-grid fnite diference code. We determined a good linear relationship between the attenuation coefcient of shear wave amplitude and the fracture aperture. Then, the efects of distance from receiver to fracture, the borehole radius and the extended distance of fracture on shear wave attenuation are also studied. The attenuation coefcient of shear wave becomes smaller with the increasing borehole radius. While, it increases as the distance from receiver to fracture and the extended distance of fracture increase. These efect characteristics are conducive to the use of shear wave to evaluate fractures.