We present an analytic model of wedge-shaped crack connected with stiff pore space for wave dispersion and attenuation in isotropic porous rocks using the wave-induced fluid flow (WIFF) mechanism. This model addresses squirt flow, a significant factor influencing wave propagation behavior across seismic, sonic, and even ultrasonic frequencies. Our model bridges the gap between existing models, demonstrating consistency with Gassmanns model at low frequencies and Mavko-Jizbas model at high frequencies. Employing a hybrid-dimensional approach, we derive a simple formula for the modified fluid modulus to enable calculation of elastic moduli for saturated rocks. The model predicts dispersion and attenuation behaviors at low, intermediate and high frequencies, and accounts for differences in liquid- and gas-saturated rocks. Comparisons with existing disk-shaped models and laboratory measurements showcase the potential advantage of wedge-shaped model for describing seismic dispersion. Validation is achieved through good agreement with published measurements of four rock samples. This model can readily integrate with classic WIFF theories, like Biots poroelasticity, extending its applicability across a broader frequency range.
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