Viscoelastic wave frequency variation anisotropy forward modeling method for partially saturated rock
An anisotropic and forward modeling technology, applied in the field of seismic exploration, can solve problems such as inelasticity and non-uniformity, and achieve the effect of convenient operation and accurate simulation results
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[0137] The present invention comprises the following steps:
[0138] 1) Construct the viscous Chapman model of the viscoelastic wave medium:
[0139] First, based on the pore-elasticity theory of particle jets, combined with mesoscopic-scale coin-shaped fractures, and considering the interaction between the two, the Chapman model in isotropic media is obtained, as shown in equation (1):
[0140]
[0141] where: C ij (w) is the element in the i-th row and the j-th column of the frequency-dependent stiffness matrix under the Chapman model of the isotropic medium, and w is the angular frequency; is the element of the i-th row and the j-th column in the isotropic elastic matrix; and are the elements in the i-th row and the j-th column of the correction value matrix related to pores, fissures and fractures, respectively; φ p is the porosity of spherical pores; ε c is the microcrack density; ε f is the crack density; where i=1,2,3,4,5,6, j=1,2,3,4,5,6.
[0142] When the...
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