Mass‐Exchange Processes in a Biphasic TPM‐Phase‐Field Model

ABSTRACT The modelling of hydraulic fracturing processes in porous media gained significant interest in the past. Therefore, several approaches, such as the Biot theory or the Theory of Porous Media (TPM), were used as their modelling basis. In combination with the phase‐field method for a diffuse fracture description, especially the TPM has turned out to be a powerful tool to simulate hydraulic fracturing processes. In this contribution, a first‐principle‐based and thermodynamically consistent procedure is proposed to additionally describe a local porosity change due to the flushing of detached particles within the fractured region by considering mass‐exchange processes within the well‐established TPM‐phase‐field method. In addition, a numerical example is presented showing the possibilities of the derived model.