Abstract
In seismology, seismic numerical modeling is regarded as a useful tool to interpret seismic responses. The presence of subsurface heterogeneities at various scales can lead to attenuation and dispersion during seismic wave propagation. In ongoing global research, the study of wave attenuation and velocity dispersion due to wave induced fluid flow (WIFF) at mesoscopic scale become the subject of great interest. Although, seismic modeling technique is efficient in estimating wave attenuation and velocity dispersion due to wave induced fluid flow (WIFF) at mesoscopic scale. It is possible to further improve the efficiency to accurately predict wave attenuation and velocity dispersion at mesoscopic scale. To achieve this goal, a quasi-static finite difference modeling method in frequency domain is implemented to estimate frequency dependent P-wave modulus of mesoscopic heterogeneous porous media. The estimated complex and frequency dependent P-wave modulus will assist to estimate frequency dependent wave attenuation and velocity dispersion within a saturated porous media exhibiting mesoscopic heterogeneities. The proposed quasi-static finite difference modeling method is further validated with theoretically predicted high and low-frequency limits and also with the analytical solution of White’s 1-D model which is for rock saturated with two immiscible fluids creating heterogeneity at mesoscopic scale. Furthermore, the proposed method is further extended to rock saturated with three phase fluids exhibiting heterogeneity at mesoscopic scale. Subsequently, seismic wave attenuation (inverse quality factor Q-1) and the effects on P-wave velocity in 1-D models with different patch size under same gas saturation were also computed. Our proposed quasi-static method is simple to be implemented by the computing scheme of parallelization and have a potential to extend it for two-dimensional case comparatively in a flexible way.
Highlights
The main challenge we are facing in oil and gas exploration is the estimation of effects on wave characteristics due to the presence of multiscale subsurface heterogeneities
In order to compute seismic wave attenuation and velocity dispersion due to wave induced fluid flow (WIFF) at mesoscopic scale, a novel technique is presented in this manuscript
We further investigated the effect of variation in the patch size by keeping constant gas saturation
Summary
The main challenge we are facing in oil and gas exploration is the estimation of effects on wave characteristics due to the presence of multiscale subsurface heterogeneities. Masson and Pride [Masson et al 2007] proposed an efficient method to estimate wave attenuation and velocity dispersion due to wave induced fluid flow (WIFF) at mesoscopic scale According to their proposed quasi-static creep test, they used finite difference method in the time domain for the solution of Biot’s quasi-static equations for wave propagation in poroelastic media. It is possible to further improve the efficiency of the methods by put forwarding more flexible methods for accurate prediction of wave attenuation and velocity dispersion at mesoscopic scale To achieve this goal, recent work seeks to propose a simple and more effective method to compute P-wave modulus for a wide range of frequencies compared with prior to the finite difference in time domain methods. The end of the paper summarizes the results and draws the conclusions from our work
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