A Wave Propagation Model With Temperature Effect In Porous Media And Its Applications

The experimental results show that the propagation properties of waves in the porous media saturated with heavy oil are greatly changed with the temperature change,and the effect of temperature on the wave propagation properties cannot be neglected.In order to study the effects of temperature on wave propagation properties in porous media,we discuss how modulus of fluid and solid skeleton are influenced by temperature and establish a wave propagation model that contains temperature effects in this paper.Based on the assumption that the solid skeleton is elastic,a wave propagation model of two-phase porous media with fluid shear modulus not negligible is established.According to Helmholtz theorem,the equations that P-waves and S-waves Lame potentials satisfy are analyzed.Compared with extended Gassmann(Ciz & Shapiro,2009),this new model predicts the existence of four waves(fast and slow P-wave and fast and slow S-waves),and two attenuation peaks occur in the temperature field.On the other hand,for the heavy oil saturated media,since the fluid shear modulus cannot be neglected,there is unrelaxed pressure both in soft and stiff pores.Therefore,the approximate expression for viscoelastic modulus of solid skeleton is derived for this case,and the wave propagation model is further modified to explain multi-physical mechanisms including temperature effects,viscoelasticity and Biot flow.In order to test the validity of the new model,wave propagation velocities under different temperatures and frequencies for the Cold Lake tar sands and Uvalde rock samples are calculated using the new model.Compared with the traditional Biot model,the new model is more consistent with the actual measured results.