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WITHDRAWN Reflection and Transmission of Inhomogeneous Plane Waves in Thermoporoelastic Media with Two-temperature Equations of Heat Conduction

Description: 

WITHDRAWN Elastic wave propagation analysis in fluid-saturated high-pressure, high-temperature fields is among the most important and effective methods for georesource exploration. Successful explanation and interpretation of deep resources requires a valid and simple rock physics model that combines rocks' porous properties and thermal nature.

The theory of thermoporoelasticity introduces mechanical-thermal coupling in poroelasticity. We develop a modified thermoporoelastic model with fluid-saturated by introducing two temperature equations to account for the temperature differences between the solid skeleton and the pore filling. The modified two-temperature-generalized thermoporoelastic (TTG) equation is an extension of the classical single-temperature LS, GL, and generalized LS theories. It predicts four compressional waves and one shear wave, i.e., fast P (P1), slow P (P2), thermal (T1), slow thermal (T2), and S waves, based on the analysis of inhomogeneous plane waves. We derive the reflection and transmission coefficients of a plane wave with the inhomogeneity angle incident on the interface separating two half-spaces based on the TTG equation. The coefficients as a function of incidence angle and porosity are presented. We also develop the corresponding AVO approximation to compare with that of the Biot poroelastic model and study the fluids' effects.

The inhomogeneity angle is found to affect the attenuation values of the P1 and S waves more strongly, with an increase in the angle leading to enhanced attenuation, especially in the range caused by Biot dispersion, while the dispersion for the other three waves shifts to the high frequencies. The critical angle of P1 waves increases with porosity until it vanishes, where the velocity of the P1 wave in the transmission medium is equal to the incidence. Comparison with the Biot poroelastic case of the water/oil contact shows that the TTG model reproduces the exact R/T results. The AVO response of oil and gas reservoirs illustrates the practical applicability of the proposed model and provides the theoretical basis for the exploration of high-temperature resources.

Session: Numerical Modeling in Seismology: Developments and Applications - I

Type: Oral

Date: 5/1/2024

Presentation Time: 08:00 AM (local time)

Presenting Author: Wanting

Student Presenter: Yes

Invited Presentation: 

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