Solution of boundary inverse problem of fluid filtration in elastic mode

E Kholiyarov, A Toyirov, D Turaev… - AIP Conference …, 2024 - pubs.aip.org
In this work, the boundary inverse problem of fluid filtration in porous media under elastic
conditions is numerically solved. Marching methods were used to solve the problem. Two …

Solving Fredholm integro-differential equations using approximation techniques

K Karshiboyev, A Toyirov, M Suyarova… - AIP Conference …, 2024 - pubs.aip.org
The primary objective of this paper is to apply the Adomian decomposition method and
variational iteration methods to approximate and find exact solutions for higher-order …

Numerical solution of boundary inverse problem for fluid relaxation filtration in porous media

E Kholiyarov, D Turaev, J Buriev - AIP Conference Proceedings, 2024 - pubs.aip.org
In this work, the boundary inverse problem for the equation of relaxation filtration of liquid in
porous media under elastic conditions is numerically solved. To solve the inverse problem …

Model of solute transport in a porous medium with multi-term time fractional diffusion equation

B Khuzhayorov, A Usmonov, F Kholliev - AIP Conference Proceedings, 2024 - pubs.aip.org
The manuscript considers the numerical solution of the multi-term time fractional diffusion
equations in a finite region. We know that anomalous solute transport is modeled by …

Numerical study of the hybrid model of solute transport in porous media

B Fayziev, S Tursunova, T Begmatov… - AIP Conference …, 2024 - pubs.aip.org
In this work, we construct a hybrid model of mass transport in porous media. In this case, the
mathematical model of suspension filtration (cake filtration) forming a cake layer is" stitched" …

Hydrodynamic pressure during the operation of oil wells with deep pumps

Y Gaybulov - AIP Conference Proceedings, 2024 - pubs.aip.org
Mathematical modeling of the influence of viscoelastic properties of oil on hydrodynamic
pressure during the operation of oil wells with deep-well pumps. Using the Fourier method …

Method and algorithm for the numerical solution of the filtration problem of changing porosity depending on gas pressure in a porous medium

E Nazirova, A Nematov, S Ismailov… - AIP Conference …, 2024 - pubs.aip.org
The paper explores the creation of a mathematical model to analyze the gas filtration
process within porous media, the formulation of the boundary problem of gas filtration …

The influence of the viscoelastic properties of the flushing fluid on the hydrodynamic pressure on the well walls in drilling

J Akilov, M Djabbarov - AIP Conference Proceedings, 2024 - pubs.aip.org
The mathematical modeling of hydrodynamic pressure on the walls of the well when
lowering the drill string when drilling oil and gas wells is considered. An analytical solution …

Solution of fractional diffusion equations using different methods

J Ergashev, N Tukhtaeva, Z Ganieva… - American Institute of …, 2024 - ui.adsabs.harvard.edu
In the paper fractional order diffusion equations are solved using the variational iteration
method, the Adomian expansion method, and the variable separation method. New exact …

Application of the method of lines for solving the vorticity equation in two-dimensional hydrodynamic problems

K Shaimov, M Eshmurodov… - American Institute of …, 2024 - ui.adsabs.harvard.edu
To solve a parabolic equation in Cartesian coordinates, it is proposed to apply the
differential-difference method, when the coefficients of terms with second derivatives have a …