Fractures colmatation with fine-dispersed material while the plugging-back of fractured porous environment as the process of nonlinear Langmuir's adsorption

Abstract

Concerning the new conception of regional (interwell) filtration flows regulation in hydrocarbon deposits and
underground storage facilities and in accordance with the fracture well plugging technology in hydrocarbon
reservoirs with the usage of slurry fine-dispersed materials (pellets), the kinetics mathematic model of fracture
colmatation with pellets, based on the principles of physical and colloid chemistry and experimental studies in
hydrodynamics of slurry has been worked out. The model in the non-dimensional form describes the dependence of
geometric, physical and structural similarity simplexes and homochronism criterion. The kinetics model is grounded
by own experiments under nonequilibrium conditions and experiments under equilibrium ones, and the results of
which have been published in scientific sources related to hydraulic fracturing. The solution adequacy of the
differential equation of the model and experimental data has been confirmed by Fisher’s criterion.
The theoretical dependence of the dispersed system critical rate on the slurry concentration has been
established as well as the impact of autoadhesion and adhesion forces has been estimated, the equation of critical
saturation of fracture with granulated layer has been proved. The model enabled to lead the complicated process of
multidimensional numerous fractures to the process of the process of dispersed phase adsorption by with fractured
porous medium with nonlinear Langmuir's isotherm, therefore the well known theory of fluid filtration with active
impurities for solving the problem of plugging channels water penetration to the wells should be used. The model
can be also applied for the description of other physically similar processes