Abstract: Taking the physical clogging of water source heat pump (WSHP) as research background, based on mass balance equation, a migration equation of particles in porous media and a mathematical model of porosity damage due to particle deposition are established. The proposed model considers the velocity correction parameter, the porosity correction parameter and the probability of capture of particles. The porosity change is dynamic in the process of material migration and plugging by considering the change of porosity. Compared with the traditional filtering model, the proposed model is more systematic and comprehensive with the consideration of the speed reduction factor and flow reduction factor. It provides theoretical basis for solving the physical clogging of reinjection well in laboratory and field tests.

Key words: water source heat pump (WSHP), velocity correction parameter, particle transport, porosity correction parameter, particle deposition