Abstract
Temperature is an important factor for evaluating the seismic response
of deep reservoirs. We develop an amplitude variation with offset (AVO)
approximation based on the Lord-Shulman (LS) thermoelasticity theory.
The model predicts two compressional (P and T) waves (the second is a
thermal mode) and a shear (S) wave. The T mode is due to the coupling
between the elastic and heat equations. In the thermoelastic case, the
approximation is more accurate than in the elastic case. Its accuracy is
veried by comparison with the exact equations calculated in terms of
potential functions. We examine two reservoir models with high
temperatures and compute synthetic seismograms that illustrate the
reliability of the approximation. Moreover, we consider real data to
build a model, and show that the approximate equation not only simplies
the calculations, but is accurate enough and can be used to evaluate the
temperature-dependent elastic properties, providing a basis for further
application of the thermoelasticity theory, such as geothermal
exploration, thermal enhanced oil recovery, and ultra-deep oil and gas
resources subject to high temperatures.
Temperature is an important factor for evaluating the seismic response
of deep reservoirs. We develop an amplitude variation with offset (AVO)
approximation based on the Lord-Shulman (LS) thermoelasticity theory.
The model predicts two compressional (P and T) waves (the second is a
thermal mode) and a shear (S) wave. The T mode is due to the coupling
between the elastic and heat equations. In the thermoelastic case, the
approximation is more accurate than in the elastic case. Its accuracy is
veried by comparison with the exact equations calculated in terms of
potential functions. We examine two reservoir models with high
temperatures and compute synthetic seismograms that illustrate the
reliability of the approximation. Moreover, we consider real data to
build a model, and show that the approximate equation not only simplies
the calculations, but is accurate enough and can be used to evaluate the
temperature-dependent elastic properties, providing a basis for further
application of the thermoelasticity theory, such as geothermal
exploration, thermal enhanced oil recovery, and ultra-deep oil and gas
resources subject to high temperatures.