This paper presents a methodology for mathematical and numerical modeling of nonstationary transverse wave processes in porous-elastic media containing a spherical obstacle. Simply and doubly connected domains are considered, allowing for the influence of the domain's internal structure on wave propagation and scattering. The study is based on Biot's linear theory of porous-elasticity. Boundary-value and initial-boundary-value problems for the equations of motion are constructed, conjugation conditions at the boundary of the spherical obstacle are formulated, and effective methods for their numerical solution are proposed. The obtained results have practical implications for problems in geophysics, porous media acoustics, and engineering mechanics.
| Mualliflar | Musurmonova , Mamura, Мусурмонова , Маъмура, Musurmonova , Ma’mura |
|---|---|
| Jurnal | Илғор иқтисодиёт ва педагогик технологиялар |
| Nashr sanasi | 2025-12-25 |
| Jild | 2 |
| Son | 6 |
| Betlar | 684-691 |
| Til | Rus |
| DOI | 10.60078/3060-4842-2025-vol2-iss6-pp684-691 |
DOI: 10.60078/3060-4842-2025-vol2-iss6-pp684-691 · Maqolaning asl sahifasi
porous-elastic medium, shear waves, nonstationary processes, spherical obstacle, simply connected domain, doubly connected domain, Biot model, пористо-упругая среда, поперечные волны, нестационарные процессы, сферическое препятствие, односвязная область, двусвязная область, модель Биота, g‘ovak-elastik muhit, siljish to‘lqinlari, statsionar bo‘lmagan jarayonlar, sharsimon to‘siq, oddiy bog‘langan domen, ikki tomonlama bog‘langan domen, Biot modeli
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