R. R. Iulmukhametova, A. A. Musin, V. I. Valiullina, L. A. Kovaleva
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Mathematical Modeling of Suspension Flow in the System of Intersecting Fractures
In this paper, mathematical modeling of the suspension flow in a complex system of
fractures, when the main fracture is crossed by the secondary one, is carried out. The
mathematical model of the process is constructed in the one-fluid approximation and includes the
continuity equation for the suspension, the system of equations of suspension motion, and the
mass conservation equation in the form of a convective—diffusion transfer equation for the volume
concentration of particles. The solution to the problem in a 3D formulation is implemented in the
OpenFOAM software package. The
dynamics of the distribution of solid spherical particles in the network of fractures is studied
depending on the ratio of the characteristic Reynolds numbers for the flow and particles, as well as
on the ratio of the lengths of the main and secondary fractures.
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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