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Showing 1-20 of 398 results
  1. Uncertainty quantification for mineral precipitation and dissolution in fractured porous media

    In this work we present an uncertainty quantification analysis to determine the influence and importance of some physical parameters in a reactive...

    Michele Botti, Alessio Fumagalli, Anna Scotti in GEM - International Journal on Geomathematics
    Article Open access 31 July 2023
  2. Some Boundary-Value Problems Corresponding to the Model of Fractional Differential Filtration Dynamics in a Fractured Porous Media Under the Condition of Time Non-Locality

    Closed-form solutions to some boundary-value problems of fractional differential geofiltration dynamics in a fractured porous medium are obtained for...

    V. M. Bulavatsky in Cybernetics and Systems Analysis
    Article 30 May 2024
  3. Compression Pulse Propagation in Fractured Porous Medium

    Abstract

    The process of propagation of compression pulses in a fractured porous medium has been studied. The study was carried out within the...

    A. A. Gubaidullin, O. Yu. Boldyreva, D. N. Dudko in Lobachevskii Journal of Mathematics
    Article 01 November 2023
  4. Boundary-Value Problems for Space-Time Fractional Differential Filtration Dynamics in Fractured-Porous Media

    Closed-form solutions are obtained for some non-stationary boundary-value problems of filtration dynamics in fractured-porous formations, posed...

    V. M. Bulavatsky, V. O. Bohaienko in Cybernetics and Systems Analysis
    Article 01 May 2022
  5. Numerical Simulation of Wave Propagation in a Fractured Porous Medium

    Abstract

    The problem of elastic wave propagation in a fractured-porous medium saturated with liquid is solved numerically. A computer implementation...

    A. A. Gubaidullin, O. Yu. Boldyreva, D. N. Dudko in Lobachevskii Journal of Mathematics
    Article 01 December 2022
  6. Meshfree Multiscale Method for Richards’ Equation in Fractured Media

    Abstract

    In this paper, we develop a meshfree multiscale method for solving the unsaturated filtration problem in fractured media described by...

    D. Y. Nikiforov, Y. Yang in Lobachevskii Journal of Mathematics
    Article 01 October 2023
  7. Staggered DG Method with Small Edges for Darcy Flows in Fractured Porous Media

    In this paper, we present and analyze a staggered discontinuous Galerkin method for Darcy flows in fractured porous media on fairly general meshes. A...

    Lina Zhao, Dohyun Kim, ... Eric Chung in Journal of Scientific Computing
    Article 29 January 2022
  8. Galerkin Approximations for an Initial Boundary Problem of Transient Flow in Fractured Porous Media

    Abstract

    In this paper, theoretical estimates for the solution of an approximation problem for a fourth-order partial differential equation with...

    D. R. Baigereyev, A. S. Berdyshev, N. B. Alimbekova in Lobachevskii Journal of Mathematics
    Article 01 November 2022
  9. Simulation of Propagation of Dynamic Perturbations in Porous Media by the Grid-Characteristic Method with Explicit Description of Heterogeneities

    Abstract

    Wave perturbations propagating through heterogeneous media with porous inclusions are numerically simulated, and an explicit description of...

    I. A. Mitskovets, N. I. Khokhlov in Computational Mathematics and Mathematical Physics
    Article 01 October 2023
  10. Solute transport prediction in heterogeneous porous media using random walks and machine learning

    Solute transport processes in heterogeneous porous media have been traditionally studied through the parameterization of macroscale properties using...

    Lazaro J. Perez, George Bebis, ... Rishi Parashar in GEM - International Journal on Geomathematics
    Article 27 October 2023
  11. A Computational Model of Fluid Filtration in Fractured Porous Media

    Abstract

    This paper discusses a computational 3D dual porosity model of two-phase incompressible fluid filtration in a fractured-porous medium. The...

    M. I. Ivanov, I. A. Kremer, Yu. M. Laevsky in Numerical Analysis and Applications
    Article 01 April 2021
  12. Optimal Lumped Control of Moisture Transfer in Porous Media

    The authors propose an algorithm for finding the optimal source capacity for the two-dimensional quasi-linear Richards equation in a rectangular...

    D. A. Klyushin, S. I. Lyashko, ... A. A. Tymoshenko in Cybernetics and Systems Analysis
    Article 01 September 2023
  13. Numerical Well Test Analysis of Fractured Porous Reservoirs with Consideration of Stress-Sensitivity Effect

    Abstract

    A computational algorithm is proposed for determining the acceptable range of bottom-hole pressure based on a composite indicator diagram...

    A. I. Abdullin, M. N. Shamsiev, M. Kh. Khairullin in Lobachevskii Journal of Mathematics
    Article 01 September 2021
  14. Modeling single-phase fluid flow in porous media through non-local fractal continuum equation

    Modeling fluid flow in highly heterogeneous porous media is an open research topic due to the degree of complexities and uncertainties attributable...

    E. C. Herrera-Hernández, C. G. Aguilar-Madera, ... D. Hernández in Journal of Engineering Mathematics
    Article 10 January 2023
  15. Nonisothermal Fluid Filtration to a Vertical Well in Naturally Fractured Reservoir

    Abstract

    In this paper, a dual-porosity model of nonisothermal fluid filtration in naturally fractured reservoir is constructed. Based on the proposed...

    M. N. Shamsiev, M. Kh. Khairullin, ... A. V. Nasybullin in Lobachevskii Journal of Mathematics
    Article 01 October 2023
  16. Preconditioning Techniques for the Numerical Solution of Flow in Fractured Porous Media

    This work deals with the efficient iterative solution of the system of equations stemming from mimetic finite difference discretization of a...

    Paola F. Antonietti, Jacopo De Ponti, ... Anna Scotti in Journal of Scientific Computing
    Article Open access 11 December 2020
  17. Numerical Study of the Fracture Diffusion-Dispersion Coefficient for Passive Transport in Fractured Porous Media

    We propose a new definition of the normal fracture diffusion-dispersion coefficient for a reduced model of passive transport in fractured porous...
    Conference paper 2021
  18. Wave Propagation in Fractured-Porous Media with Different Percolation Length of Fracture Systems

    Abstract

    We present a numerical investigation of the fracture connectivity effect on attenuation of seismic waves propagating in fractured porous...

    M. A. Novikov, V. V. Lisitsa, Ya. V. Bazaikin in Lobachevskii Journal of Mathematics
    Article 01 August 2020
  19. Global-Local Forward Models within Bayesian Inversion for Large Strain Fracturing in Porous Media

    Phase-field fracture models are employed to capture failure and cracks in structures, alloys, and poroelastic media. The coupled model is based on...
    Nima Noii, Thomas Wick, Amirreza Khodadadian in Domain Decomposition Methods in Science and Engineering XXVII
    Conference paper 2024
  20. A phase-field model for simulating the propagation behavior of mixed-mode cracks during the hydraulic fracturing process in fractured reservoirs

    A novel phase-field model for the propagation of mixed-mode hydraulic fractures, characterized by the formation of mixed-mode fractures due to the...

    Dan Zhang, Liang** Yi, ... **aogang Li in Applied Mathematics and Mechanics
    Article 29 April 2024
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