In this paper, we introduce the complex modulus to express the viscoelasticity of a medium. According to the correspondence principle, the Biot-Squirt （BISQ） equations in the steady-state case are presented for the ...In this paper, we introduce the complex modulus to express the viscoelasticity of a medium. According to the correspondence principle, the Biot-Squirt （BISQ） equations in the steady-state case are presented for the space-frequency domain described by solid displacements and fluid pressure in a homogeneous viscoelastic medium. The effective bulk modulus of a multiphase flow is computed by the Voigt formula, and the characteristic squirt-flow length is revised for the gas-included case. We then build a viscoelastic BISQ model containing a multiphase flow. Through using this model, wave dispersion and attenuation are studied in a medium with low porosity and low permeability. Furthermore, this model is applied to observed interwell seismic data. Analysis of these data reveals that the viscoelastic parameter tan6 is not a constant. Thus, we present a linear frequen- cy-dependent function in the interwell seismic frequency range to express tanG. This improves the fit between the observed data and theoretical results.展开更多
基金supported by the National Natural Sciences Foundation of China(Grant Nos.41390452 and 11002025)the National Science Foundation for Distinguished Young Scholars of China(Grant No.40725012)
文摘In this paper, we introduce the complex modulus to express the viscoelasticity of a medium. According to the correspondence principle, the Biot-Squirt （BISQ） equations in the steady-state case are presented for the space-frequency domain described by solid displacements and fluid pressure in a homogeneous viscoelastic medium. The effective bulk modulus of a multiphase flow is computed by the Voigt formula, and the characteristic squirt-flow length is revised for the gas-included case. We then build a viscoelastic BISQ model containing a multiphase flow. Through using this model, wave dispersion and attenuation are studied in a medium with low porosity and low permeability. Furthermore, this model is applied to observed interwell seismic data. Analysis of these data reveals that the viscoelastic parameter tan6 is not a constant. Thus, we present a linear frequen- cy-dependent function in the interwell seismic frequency range to express tanG. This improves the fit between the observed data and theoretical results.
