TY - GEN
T1 - 2.5-D poro-viscoseismic wave modeling in a double porosity medium
AU - Liu, X.
AU - Greenhalgh, S.
AU - Wang, Y. H.
PY - 2010
Y1 - 2010
N2 - For the double porosity Biot model, the local flow energy dissipation mechanism can be approximated by a single Zener visco-acoustic element. This replaces the convolution integrals of the governing equations with the memory equations for the memory variables. From the 3-D governing equations for poro-viscoseismic wave propagation, the 2.5-D governing equations are obtained by taking a Fourier transform in the medium-invariant (strike) y-direction and trasnforming to the wavenumber domain. For a heterogeneous, double porosity 2.5 D medium, we obtain numerical transient solutions for a point source by solving the poro-viscoseismic modelling using a time splitting method for the non-stiff parts and an explicit 4th-order Runge-Kutta method for the time integration and a Fourier pseudospectral staggered-grid for handling the spatial derivative terms. Since the 2.5-D scheme can be used to calculate the 3-D wavefields, it is clearly more realistic than 2-D (line source) modelling. By this method, the stress, particle velocity and pore pressure can be calculated simultaneously. Comparison with the analytical solution for a homogeneous model shows the correctness of this approach.
AB - For the double porosity Biot model, the local flow energy dissipation mechanism can be approximated by a single Zener visco-acoustic element. This replaces the convolution integrals of the governing equations with the memory equations for the memory variables. From the 3-D governing equations for poro-viscoseismic wave propagation, the 2.5-D governing equations are obtained by taking a Fourier transform in the medium-invariant (strike) y-direction and trasnforming to the wavenumber domain. For a heterogeneous, double porosity 2.5 D medium, we obtain numerical transient solutions for a point source by solving the poro-viscoseismic modelling using a time splitting method for the non-stiff parts and an explicit 4th-order Runge-Kutta method for the time integration and a Fourier pseudospectral staggered-grid for handling the spatial derivative terms. Since the 2.5-D scheme can be used to calculate the 3-D wavefields, it is clearly more realistic than 2-D (line source) modelling. By this method, the stress, particle velocity and pore pressure can be calculated simultaneously. Comparison with the analytical solution for a homogeneous model shows the correctness of this approach.
UR - https://www.scopus.com/pages/publications/78249275874
M3 - Conference contribution
AN - SCOPUS:78249275874
SN - 9781617386671
T3 - 72nd European Association of Geoscientists and Engineers Conference and Exhibition 2010: A New Spring for Geoscience. Incorporating SPE EUROPEC 2010
SP - 1947
EP - 1951
BT - Society of Petroleum Engineers - 72nd European Association of Geoscientists and Engineers Conference and Exhibition 2010 - Incorporating SPE EUROPEC 2010
PB - Society of Petroleum Engineers
ER -