Vol. 2 No. 8 (2026), Articles
Vol. 2 No. 8 (2026)

O‘ZARO DINAMIK ALOQADAGI KO‘P FAZALI NEFT FILTRATSIYASI JARAYONINING MATEMATIK MODELI VA SONLI YECHISH USULLARI

Articles
Published 2026-02-07
Odilov Asliddin Isoq o‘g‘li
Aniq va ijtimoiy fanlar universiteti “Sun’iy intellekt” mutaxassisligi 2-kurs talabasi
Ismailov Shixnazar Rashid oʻgʻli
Muhammad Al-Xorazmiy nomidagi Toshkent axborot texnologiyalari universiteti Multimedia texnologiyalari kafedrasi dotsenti
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Keywords

ko‘p fazali filtratsiya, g‘ovak muhit, matematik model, Darcy qonuni, massa saqlanish tenglamasi, bosim–to‘yinganlik formulirovkasi, nisbiy o‘tkazuvchanlik, kapillyar bosim, chekli ayirmalar usuli, chekli hajmlar usuli, sonli modellashtirish, parallel hisoblash, neft konlari simulyatsiyasi.

Abstract

Ushbu maqolada g‘ovak muhitda neft, suv va gaz fazalarining o‘zaro dinamik bog‘langan holda harakatlanishi bilan tavsiflanadigan ko‘p fazali filtratsiya jarayonining matematik modeli ishlab chiqilgan. Jarayon massa saqlanish qonunlari va umumlashgan Darcy tenglamalari asosida differensial tenglamalar sistemasi ko‘rinishida ifodalandi. Fazalar bosimi, to‘yinganligi hamda nisbiy o‘tkazuvchanliklar o‘rtasidagi bog‘lanishlar hisobga olinib, bosim–to‘yinganlik formulirovkasi hosil qilindi. Hosil bo‘lgan nolinear sistema chekli ayirmalar va chekli hajmlar usullari yordamida diskretlashtirildi hamda iteratsion algoritmlar asosida sonli yechildi.

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