TY - GEN

T1 - REFLECTION OF INHOMOGENEOUS SEISMIC WAVES AT THE FREE SURFACE OF AN EFFECTIVE BIOT SOLID

AU - Liu, X.

AU - Greenhalgh, S.

AU - Zhou, B.

AU - Li, H.

N1 - Funding Information:
We are grateful to King Fahd University of Petroleum & Minerals, KSA for supporting this research.
Publisher Copyright:
Copyright© (2021) by the European Association of Geoscientists & Engineers (EAGE) All rights reserved.

PY - 2021

Y1 - 2021

N2 - Seismic waves propagating in lossy materials are generally inhomogenous waves having different directions of propagation and attenuation. Unlike the homogenous waves, the inhomogeneity parameters, dissipation factors and phase velocities (denoted as the three wave quantities) of reflected/transmitted inhomogeneous waves can depend on the incidence angle. To estimate the three wave quantities of the reflected inhomogeneous waves, two new methods are introdueced and demonstrated by investigating the free surface reflection behaviour of P and S waves in an effective Biot solid which can explain the high level of attenuation observed in a reservoir. We prove that the three wave quantities of the pure-mode reflected waves PP and SS are exactly equal to those of the incident wave and independent of the incidence angle. Two sets of the dissipation factor expressions are derived as the functions of the material parameters and (1) the wave complex amplitudes, and (2) the inhomogeneity parameters of the waves. We also derived a new equation relating the inhomogeneity parameter to the complex slowness vector, called the D-p equation. The dissipation factors functions and the D-p equation are applied to the three wave quantities of the mode-converted waves PS and SP.

AB - Seismic waves propagating in lossy materials are generally inhomogenous waves having different directions of propagation and attenuation. Unlike the homogenous waves, the inhomogeneity parameters, dissipation factors and phase velocities (denoted as the three wave quantities) of reflected/transmitted inhomogeneous waves can depend on the incidence angle. To estimate the three wave quantities of the reflected inhomogeneous waves, two new methods are introdueced and demonstrated by investigating the free surface reflection behaviour of P and S waves in an effective Biot solid which can explain the high level of attenuation observed in a reservoir. We prove that the three wave quantities of the pure-mode reflected waves PP and SS are exactly equal to those of the incident wave and independent of the incidence angle. Two sets of the dissipation factor expressions are derived as the functions of the material parameters and (1) the wave complex amplitudes, and (2) the inhomogeneity parameters of the waves. We also derived a new equation relating the inhomogeneity parameter to the complex slowness vector, called the D-p equation. The dissipation factors functions and the D-p equation are applied to the three wave quantities of the mode-converted waves PS and SP.

UR - http://www.scopus.com/inward/record.url?scp=85127761987&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85127761987

T3 - 82nd EAGE Conference and Exhibition 2021

SP - 4663

EP - 4667

BT - 82nd EAGE Conference and Exhibition 2021

T2 - 82nd EAGE Conference and Exhibition 2021

Y2 - 18 October 2021 through 21 October 2021

ER -