The evolution of the filtration coefficient with time is obtained. The visco-elastic properties of highly concentrated suspensions have also been studied using a lattice model. Elastic moduli can be calculated from the model in terms of interparticle forces while the viscous part can be obtained from models available in the literature. The effects of various parameters on elastic moduli have been investigated. These parameters include particle size, concentration, surface potential, and solution ionic strength.
Comparisons made with experimental data show good agreement with model predictions.
In addition to providing us with answers to the fundamental questions noted above the Stokesian Dynamics simulation results are used to obtain the transition time from internal to external filtration. The transition time is then used in a new model that incorporates both internal and external filtration developed for predicting well injectivity decline. The model also allows for various types of well completions and it can be used whether or not core flow test data is available. WID incorporated all the novel features that our model studies provide and it has a user friendly graphical interface. Test examples and field case studies show that WID can be used practically for predicting an injector's performance and for conducting what-if studies in designing water injection projects.