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• W2924452142 endingPage "2096" @default.
• W2924452142 startingPage "2081" @default.
• W2924452142 abstract "Stoneley waves propagating in a borehole will produce reflected waves when they encounter a porous formation. In previous studies, the simplified Biot–Rosenbaum theory is used to calculate the Stoneley wave reflection coefficient for porous formations. Such simplified theory ignores the effect of formation frame elasticity, thus cannot obtain accurately the Stoneley wave reflection for the porous formation with small stiffness. In this study, to take the effect of formation frame elasticity into account, we use the Biot's theory in the low-frequency limit to simulate the Stoneley wave reflection by employing the velocity-stress finite-difference time-domain (FDTD) method. In addition, as permeability of the formation varies in the axial direction, and the viscosity of the pore fluid also changes in a radial direction due to mud invasion, it is difficult to use the simplified theory to calculate the reflection coefficient of the Stoneley wave in such heterogeneous cases. Therefore, this study first investigates the effect of the formation permeability heterogeneity on Stoneley wave reflection coefficient by this FDTD method. The FDTD method is verified by a comparison with the real axis integration method with respect to the Stoneley wave propagation in a borehole surrounded by a homogeneous porous formation. The reflection coefficient obtained by the FDTD method is smaller than that using the simplified theory, which shows that elasticity of the formation frame affects Stoneley wave reflection: the effect of elasticity on the reflection coefficient is greater when the formation frame is less rigid or when the porosity and permeability of the formation are lower. According to the simulation results of the FDTD method, a modified simplified theory which can improve the calculation accuracy of Stoneley wave reflection coefficient is proposed. Furthermore, the effects of the permeability heterogeneity on the Stoneley wave reflection are investigated: the reflection coefficient peaks change when permeability alters in an axial direction and the peak interval increases. For the mud invasion model, the reflection coefficient is almost identical to that of the homogeneous model, which has the same permeability as the borehole wall of the mud invasion model." @default.
• W2924452142 created "2019-04-01" @default.
• W2924452142 creator A5064189509 @default.
• W2924452142 creator A5073835374 @default.
• W2924452142 date "2019-03-19" @default.
• W2924452142 modified "2023-09-25" @default.
• W2924452142 title "Simulation of Stoneley wave reflection from porous formation in borehole using FDTD method" @default.
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• W2924452142 doi "https://doi.org/10.1093/gji/ggz144" @default.
• W2924452142 hasPublicationYear "2019" @default.
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