基于Low rank近似的黏弹性介质衰减补偿微地震逆时定位与裂缝成像

doi:10.6038/cjg2021O0206

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Abstract Due to the viscoelasticity of real underground media, dissipation and dispersion occur when seismic wave propagates. If the absorption effect of the viscoelastic medium is not considered, the backpropagation wave field will have amplitude weakening and phase distortion, making it difficult to locate the source accurately. Therefore, it is necessary to compensate for the attenuation of the wave field propagating in the viscoelastic medium, and then use the appropriate imaging operator to locate the microseismic source and image the fracture. In this paper, we simulate wavefield propagation with the fractional order viscoelastic wave equation decoupled from dissipation and dispersion, and use low rank decomposition to approximate the mixed domain operator. The dissipation sign is inverted in the separated attenuation related terms, and low-pass filtering is performed in the wavenumber domain of the compensated attenuation term. We derive the wave equation of viscoelastic medium with attenuation compensation. The optimized imaging operator is used to locate the microseismic source. By separating the scattering data, we backpropagate scattering wave to image fracture. Numerical examples show that this method can improve the calculation efficiency by low rank approximation. Under the constraint of low-pass filter, the attenuation compensation operator can stably compensate the backpropagation wavefield. The optimized imaging operator can further improve the calculation efficiency and location resolution while suppressing random noise.

Key words： Viscoelasticity Fractional order Low rank Attenuation compensation Microseismic Reverse time location

Received: 24 August 2020

PACS:

P631

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	TANG Jie
	LIU YingChang
	LI Cong
	SUN ChengYu

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http://www.geophy.cn//EN/10.6038/cjg2021O0206 OR http://www.geophy.cn//EN/Y2021/V64/I8/2858

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