RETRACTED: A Simple Model for Attenuation and Dispersion Caused by Squirt Flow in Isotropic Fractured Rocks

The propagation of seismic waves and ultrasonic waves in rocks is significantly affected by dispersion and attenuation effects. When ultrasonic and seismic waves pass through rocks, the local flow of fluid in microcracks causes a substantial amount of energy attenuation, a phenomenon known as squirt flow. A simple analytical model is proposed in this paper to describe the attenuation and dispersion of isotropic fractured rocks due to squirt flow. Compared to the previous squirt flow model of the pore-crack model, this model adopts crack-to-crack flow configurations and considers the impact of crack connectivity and demonstrates higher accuracy in characterizing squirt-flow-induced wave dispersion and attenuation between cracks. In two complex extended geometric models, precise 3D numerical solutions were used to validate the results derived from the isotropic dual crack squirt flow analytical model, the P-wave modulus prediction error < 1% compared to numerical models. This study can be used for seismic data interpretation in fractured carbonate reservoirs.