Propagation of surface waves in porrossy anisotropic mediums and its mathematical models

Kholmurodov, Abdulkhamid, Kuzratov, Mukhriddin

Techscience.uz - техника фанлари долзарб масалалри · 2025-yil

Annotatsiya

In this paper, mathematical–physical foundations and stable numerical approaches are proposed for modeling the propagation of surface waves in a porous–anisotropic medium. Starting from the fully anisotropic form of Biot’s theory, an energy-stable and symmetric weak formulation is derived for a mixed-scale setting. For free surfaces and interlayer interfaces, the SAT (Simultaneous Approximation Terms) stabilization mechanism is employed. Discretizations based on SBP–SAT (Summation-By-Parts and Simultaneous Approximation Terms) high-order finite differences and the HDG (Hybridizable Discontinuous Galerkin) method are developed, providing consistent energy estimates and observable dispersion errors. Through nondimensionalization, the governing dimensionless groups (filtration viscosity, Biot modulus, effective stress coefficient, dynamic tortuosity, and degree of anisotropy) are identified, and for a TI (transversely isotropic) half-space, the secular equation and Fréchet sensitivity integral operators of the Rayleigh phase velocity are obtained. Numerical experiments demonstrate the strong influence of azimuthal dispersion, permeability, and surface conditions (drained/undrained). The proposed approach has practical significance for problems in seismics, geotechnics, and reservoir monitoring.

Maqola ma’lumotlari
MualliflarKholmurodov, Abdulkhamid, Kuzratov, Mukhriddin
JurnalTechscience.uz - техника фанлари долзарб масалалри
NashriyotЖиззах политехника институти
ISSN3030-3702, 3030-3702
Nashr sanasi2025-11-02
Jild3
Son10
Betlar45-49
TilIngliz
Ilmiy sohaTexnika
DOI10.47390/ts-v3i10y2025no7
Indeksga qo‘shilgan2026-08-26

DOI: 10.47390/ts-v3i10y2025no7 · Maqolaning asl sahifasi

Kalit so‘zlar

poroelasticity, Biot model, anisotropy, Rayleigh wave, Love wave, dispersion, attenuation, SBP–SAT, HDG, inverse problem., g‘ovak-elastiklik, Biot modeli, anizotropiya, Rayleigh to‘lqini, Love to‘lqini, dispersiya, so‘nish, SBP SAT, HDG, teskari masala.

Ilmiy soha

Texnika

Iqtibos keltirish

APAKholmurodov, Abdulkhamid, & Kuzratov, Mukhriddin (2025). PROPAGATION OF SURFACE WAVES IN PORROSSY ANISOTROPIC MEDIUMS AND ITS MATHEMATICAL MODELS. Techscience.uz - техника фанлари долзарб масалалри, 3(10), 45-49. https://doi.org/10.47390/ts-v3i10y2025no7
GOST (OAK)Kholmurodov, Abdulkhamid, Kuzratov, Mukhriddin PROPAGATION OF SURFACE WAVES IN PORROSSY ANISOTROPIC MEDIUMS AND ITS MATHEMATICAL MODELS // Techscience.uz - техника фанлари долзарб масалалри. – 2025. – T. 3, № 10. – P. 45-49. – DOI: 10.47390/ts-v3i10y2025no7.
MLAKholmurodov, Abdulkhamid, and Kuzratov, Mukhriddin. “PROPAGATION OF SURFACE WAVES IN PORROSSY ANISOTROPIC MEDIUMS AND ITS MATHEMATICAL MODELS.” Techscience.uz - техника фанлари долзарб масалалри, 3(10), 45-49, 2025. https://doi.org/10.47390/ts-v3i10y2025no7
ChicagoKholmurodov, Abdulkhamid, and Kuzratov, Mukhriddin. “PROPAGATION OF SURFACE WAVES IN PORROSSY ANISOTROPIC MEDIUMS AND ITS MATHEMATICAL MODELS.” Techscience.uz - техника фанлари долзарб масалалри, 3(10), 45-49 (2025). https://doi.org/10.47390/ts-v3i10y2025no7
HarvardKholmurodov, Abdulkhamid, and Kuzratov, Mukhriddin (2025) ‘PROPAGATION OF SURFACE WAVES IN PORROSSY ANISOTROPIC MEDIUMS AND ITS MATHEMATICAL MODELS’, Techscience.uz - техника фанлари долзарб масалалри, 3(10), 45-49. https://doi.org/10.47390/ts-v3i10y2025no7
BibTeX
@article{kholmurodovabdulkhamid2025,
  title = {PROPAGATION OF SURFACE WAVES IN PORROSSY ANISOTROPIC MEDIUMS AND ITS MATHEMATICAL MODELS},
  author = {Kholmurodov, Abdulkhamid and Kuzratov, Mukhriddin},
  journal = {Techscience.uz - техника фанлари долзарб масалалри},
  year = {2025},
  volume = {3},
  number = {10},
  pages = {45-49},
  doi = {10.47390/ts-v3i10y2025no7},
  url = {https://doi.org/10.47390/ts-v3i10y2025no7}
}

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