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Jinslar o‘tkazuvchanligini oshirish uchun quduqlarga akustik ta’sir ko‘rsatishning matematik modeli
Mathematical model of acoustic stimulation of wells to increase rock permeability
- Navoi State University of Mining and Technologies, Navoi, Uzbekistan
- Abylkas Saginov Karaganda Technical University, Karaganda, Kazakhstan
- M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine, Dnipro, Ukraine
https://doi.org/10.1088/1755-1315/1630/1/012031
Asosiy jihatlar
- Uran konlari qumtoshlari: o‘tkazuvchanlik 0,2–1,0 mD, g‘ovaklik 25–35%, so‘nish koeffitsiyenti 1,5–3,5 m⁻¹.
- Hisob misoli: 3,0 MPa va 20 kGs da o‘tkazuvchanlik 50 ms ichida 1,00×10⁻¹⁵ dan 4,85×10⁻¹⁵ m² gacha.
- Samarali radius bosim amplitudasi bilan logarifmik ravishda o‘sadi, so‘nish, chastota va quduq radiusi ortishi bilan kamayadi.
- Uran konlari uchun eng maqbul chastota oralig‘i: 50–200 Gs.
- Modellashtirilgan ta’sirlar: mikroyoriqlar ochilishi, kolloid cho‘kmalar yemirilishi, kapillyar bog‘langan suyuqlik bo‘shashi.
Annotatsiya
The article presents a mathematical model of acoustic stimulation of wells to increase the permeability of productive formations in conditions of uranium deposits exploited by the underground leaching method. The model is based on solving the equations of elastic wave propagation in a saturated porous-fractured medium taking into account the elastic, filtration and viscoelastic characteristics of the ore-bearing rocks. Analytical dependences of the radius of the effective impact of the acoustic field on the frequency-energy parameters of the source (frequency, amplitude, pressure in the well) and the filtration-capacitive properties of the formation are obtained. A parametric analysis of the influence of the acoustic impact spectrum on the dynamics of microcrack opening, destruction of colloidal deposits and mobilization of capillary-bound fluid is carried out. The modeling is consistent with the data of laboratory and pilot studies at operating uranium facilities, which confirms the adequacy of the model. The obtained results allow us to reasonably select optimal acoustic impact modes to intensify filtration with minimal energy costs.
Maqoladagi inglizcha annotatsiya. Mualliflar annotatsiyasi CC BY 4.0 litsenziyasi asosida keltirilgan. Annotatsiya ingliz tilida berilgan.
Sodda qilib aytganda
Model ruda saqlovchi jinslarni elastik, filtratsion va qovushqoq-elastik xossalarga ega to‘yingan g‘ovak-yoriqli muhit sifatida ko‘radi va unda elastik to‘lqinlar tarqalishi tenglamalarini yechadi. Akustik maydon samarali ta’sir radiusining manba chastotasi, amplitudasi va quduqdagi bosimga hamda qatlamning filtratsion-sig‘im xossalariga bog‘liqligi analitik ko‘rinishda olingan.
Parametrik tahlil akustik ta’sir spektri mikroyoriqlar ochilishi, kolloid cho‘kmalar yemirilishi va kapillyar bog‘langan suyuqlik bo‘shashiga qanday ta’sir qilishini ko‘rsatadi. Mualliflarning ma’lumotiga ko‘ra, model ishlab turgan uran obyektlaridagi laboratoriya va tajriba ishlari natijalariga mos keladi hamda filtratsiyani eng kam energiya sarfi bilan jadallashtiradigan akustik ta’sir rejimlarini tanlash imkonini beradi.
Hisob misolida (jins zichligi 2600 kg/m³, Yung moduli 18 GPa, Puasson koeffitsiyenti 0,25, boshlang‘ich o‘tkazuvchanlik 1×10⁻¹⁵ m², 20 kGs da 3,0 MPa akustik bosim) o‘tkazuvchanlik 50 ms ichida 4,85×10⁻¹⁵ m² gacha oshadi, eng katta o‘sish dastlabki millisekundlarga to‘g‘ri keladi. O‘tkazuvchanligi 0,2–1,0 mD, g‘ovakligi 25–35% va so‘nish koeffitsiyenti odatda 1,5–3,5 m⁻¹ bo‘lgan uran konlari qumtoshlarida samarali radius bosim amplitudasi bilan logarifmik ravishda o‘sadi, so‘nish, chastota va quduq radiusi ortishi bilan esa kichrayadi. Mualliflar uran konlariga ta’sir ko‘rsatish uchun eng maqbul chastota oralig‘ini 50–200 Gs deb hisoblaydi.
Iqtibos namunasi
S. Zairov, M. Mekhmonov, V. Demin, D. Akhmatnurov, R. Musin and V. Zberovskyi (2026). Mathematical model of acoustic stimulation of wells to increase rock permeability. IOP Conference Series: Earth and Environmental Science, vol. 1630 (RMGET 2025), 012031. https://doi.org/10.1088/1755-1315/1630/1/012031