Jild 37 № 3 (2026): Iyul - sentyabr
92-98
2026-09-30
Ochiq kirish

Bir jinsli bo‘lmagan g‘ovak muhitlarda yer osti suvlari naporining o‘zgarish jarayonlarining matematik modeli

Baxtiyor Murodullayev
Rustam Kodirov
Dilobar Haqnazarova

Qabul qilingan: 2026-10-14

Nashr etilgan: 2026-09-30

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Annotatsiya

Ushbu tadqiqotda bir jinsli bo‘lmagan g‘ovak muhitlarda yer osti suvlari naporining fazoviy-vaqt bo‘yicha taqsimlanishini aniqlash uchun matematik ifoda va sonli yechim ishlab chiqilgan hamda ular ko‘p quduqli nostatsionar modellashtirish misolida namoyish etilgan. Tadqiqotning dolzarbligi yer osti suv resurslarini samarali boshqarish, ekologik barqarorlikni ta’minlash va o‘zgaruvchan iqlim sharoitida gidrologik jarayonlarni prognozlash zarurati bilan bog‘liq. Darcy qonuni va massa saqlanish qonunidan kelib chiqib, anizotrop bir jinsli bo‘lmagan muhitlarda filtratsiya jarayonini tavsiflovchi o‘zgaruvchan koeffitsiyentli ikkinchi tartibli parabolik xususiy hosilali differensial tenglama keltirib chiqarilgan; bunda anizotropiya diagonal gidravlik o‘tkazuvchanlik tenzori orqali, bir jinsli bo‘lmaslik esa fazoviy o‘zgaruvchan parametrlar orqali ifodalangan. Hisoblash sohasining barcha olti yuzasi uchun daryo–suvli qatlam o‘zaro ta’siri, infiltratsiya, evapotranspiratsiya va sug‘orishdan qaytuvchi oqimni hisobga oluvchi chegaraviy shartlar shakllantirilgan. Differensial masala oshkor chekli ayirmalar sxemasi yordamida diskretlashtirilgan bo‘lib, unda bir jinsli bo‘lmagan muhitdagi tutashuv chegaralarining gidravlik o‘tkazuvchanligi garmonik o‘rtacha qiymat orqali aniqlanadi; bu ketma-ket ulangan gidravlik qarshiliklarni to‘g‘ri ifodalash imkonini beradi. Sxemaning barqarorligi fon Neyman usuli yordamida tahlil qilingan va Courant–Friedrichs–Lewy barqarorlik sharti olingan; yaqinlashuv esa Lax ekvivalentlik teoremasidan kelib chiqadi. O‘lchami 2000 × 2000 m bo‘lgan, ikkita suv chiqaruvchi quduq va bitta haydovchi quduqni o‘z ichiga olgan suvli qatlam uchun nostatsionar sonli tajriba o‘tkazilgan. Hisoblashlar depressiya voronkalarining va suv sathi ko‘tarilish gumbazining bosqichma-bosqich shakllanishi hamda o‘zaro ta’sirini, quduqlardagi naporning vaqt bo‘yicha o‘zgarishini va napor sirtining uch o‘lchovli tuzilishini qayta hosil qiladi. Hisoblash algoritmi tabiiy ravishda parallel hisoblashga mos bo‘lib, undan yer osti suv resurslarini boshqarish, suvli qatlamlarning gidrodinamik holatini prognozlash, shuningdek, quduqlar va drenaj tizimlarini loyihalashda foydalanish mumkin.

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Mualliflar haqida

Baxtiyor Murodullayev
bmurodullayev1114@gmail.com
Raqamli texnologiyalar va sun’iy intellektni rivojlantirish ilmiy-tadqiqot instituti
Rustam Kodirov
qodirov_rr@list.ru
Kamoliddin Behzod nomidagi Milliy rassomlik va dizayn instituti
Dilobar Haqnazarova
dilobarhaqnazarova96@gmail.com
Tashkent International University of Education

Litsenziya

Mualliflik huquqi (c) 2026 “Mexanika muammolari” O‘zbekiston jurnali

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Bir jinsli bo‘lmagan g‘ovak muhitlarda yer osti suvlari naporining o‘zgarish jarayonlarining matematik modeli. (2026). “Mexanika Muammolari” O‘zbekiston Jurnali, 37(3), 92-98. https://www.pmjournal.uz/jour/article/view/28

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