Abstract
Classical models for deep bed filtration (DBF) and external cake formation predict a linear growth of the pressure drop with time along the core, and its abrupt increase after the transition time. In such models, there is a delay of the external cake formation if compared with particle filtration into porous media, under the assumptions of mono-sized particle injection or particle sizes smaller than all the pore sizes. However, significant deviation of well and laboratory data from the mono-sized model has been widely reported and explained by particle size variation. In the present work, the mathematical model for injection of bi-sized particle suspension into porous media has been developed accounting for deep bed filtration of small particles, formation of cake by large particles, filling of the cake by small particles and formation of a new cake by small and large particles mixture at the late stage. Analytical solution has been derived. The laboratory injections of bi-sized particle suspension into reservoir cores have been performed with monitoring the pressure drop across the core and the breakthrough particle concentration. The impedance profile from experiment matches well with the model prediction, which validates the proposed model. Application of this model would contribute to proper design of drilling fluid and prediction of leak-off into the reservoir during drilling.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call