When the fluid in the hydraulic fractures are non-Newton flow, the gravity effect can not be ignored. In this paper, the gravity term is added in the diffusion equation to calculate the time evolution of the pore pressure, and convert the effect to elastic constants in the elastic seismic wave equation. By these step, the effect of pore pressure inside the fractures in wave propagation can be properly simulated. In addition, the forward modeling results reveal that pore pressure is a critical factor affecting seismic attenuation.


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