SFERIK TO‘SIQLI BIR BOG‘LAMLI VA IKKI BOG‘LAMLI G‘OVAK ELASTIK SOHALARDA NOSTATSIONAR KO‘NDALANG TO‘LQINLI JARAYONLARNI MODELLASHTIRISH METODIKASI
DOI:
https://doi.org/10.60078/3060-4842-2025-vol2-iss6-pp684-691Annotasiya
Ushbu maqolada sferik to‘siqni o‘z ichiga olgan g‘ovak-elastik muhitda statsionar bo‘lmagan ko‘ndalang to‘lqin jarayonlarini matematik va sonli modellashtirish metodologiyasi taqdim etilgan. Sodda va ikki tomonlama bog‘langan domenlar ko‘rib chiqiladi, bu domenning ichki tuzilishining to‘lqin tarqalishi va yoyilishiga ta’sirini hisobga oladi. Tadqiqot Biotning g‘ovak-elastiklikning chiziqli nazariyasiga asoslangan. Harakat tenglamalari uchun chegara qiymati va boshlang‘ich chegara qiymati masalalari tuzilgan, sharsimon to‘siq chegarasida konjugatsiya shartlari shakllantirilgan va ularning sonli yechimi uchun samarali usullar taklif qilingan. Olingan natijalar geofizika, g‘ovak muhit akustikasi va muhandislik mexanikasidagi muammolar uchun amaliy ahamiyatga ega
Kalit so‘zlar:
g‘ovak-elastik muhit siljish to‘lqinlari statsionar bo‘lmagan jarayonlar sharsimon to‘siq oddiy bog‘langan domen ikki tomonlama bog‘langan domen Biot modeliBibliografik manbalar
Achenbach, J.D. (1973) Wave Propagation in Elastic Solids. North-Holland Publishing Company, Amsterdam.
Biot, M. A. (1962) Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics, 33(4), pp. 1482–1498.
Biot, M.A. (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid. Journal of the Acoustical Society of America, 28(2), pp. 168–178.
Bonnet, M. (1999) Boundary integral equation methods for solids and fluids.
John Wiley & Sons.
Carcione, J.M. (2014) Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media. Elsevier, Amsterdam.
Coussy, O. (2010) Mechanics and Physics of Porous Solids. John Wiley & Sons, Chichester.
Deresiewicz, H., Skalak, R. (1963) On uniqueness in dynamic poroelasticity.
Bulletin of the Seismological Society of America, 53, pp. 783–788.
Pride, S.R., Berryman, J.G. (2003) Linear dynamics of double-porosity dual-permeability materials. Physical Review E, 68, 036603.
Santos, J. E., Douglas Jr., J., Corberó, A. (2008) Finite element methods for Biot’s equations of poroelasticity. Computational Geosciences, 12, pp. 9–30.
Zienkiewicz, O. C., Taylor, R. L., Zhu, J. Z. (2013) The Finite Element Method: Its Basis and Fundamentals. 7th ed., Elsevier, Oxford.
Yuklashlar
Nashr qilingan
Qanday qilib iqtibos keltirish kerak
Nashr
Bo'lim
Litsenziya
Ushbu ish Creative Commons Attribution 4.0 Worldwide.
