可压缩两相流固耦合模型的间断Galerkin有限元方法
DISCONTINUOUS GALERKIN FEM METHOD FOR THE COUPLING OF COMPRESSIBLE TWO-PHASE FLOW AND POROMECHANICS
查看参考文献33篇
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文摘
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认识多孔介质内多相流动和固体变形耦合特征是地下资源开发利用的关键问题.针对这一问题,首先建立了考虑毛细压力和重力作用的可压缩两相渗流与孔隙介质变形耦合方程.在此基础上,推导了流体方程的非对称内罚Galerkin弱形式和固体变形方程的非完全内罚Galerkin弱形式.其次,通过对比一维Terzaghi固结问题的理论解和数值解,验证了间断Galerkin方法在计算流固耦合问题方面的可行性和准确性.然后,针对性开展了二维平面算例和考虑重力效应作用的三维算例,分析了加罚因子δ_s和δ_f对数值结果的影响.结果表明,随着气体的持续注入,气体饱和度和孔压增加,有效应力降低,继而引发多孔介质膨胀变形;气体在重力影响下上浮聚集于顶部边界;δ_s和δ_f的降低会导致流体和力学信息在局部出现不同程度的波动,提高加罚因子可以有效抑制有限元函数在跨越单元时的不连续性. |
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其他语种文摘
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Understanding the coupled multiphase flow and solid deformation processes in porous media is a significant issue in the area of developing and utilizing underground resources.This study first established the coupled modeling of compressible two-phase flow and deformation of porous media,which considers capillarity and gravity.Meanwhile,the strong form and the corresponding weak form of coupled multiphase flow and solid deformation model were presented.Then,the capacity of the proposed DG method for the coupled hydromechanical model was verified by comparison with analytical and numerical results of the one-dimensional Terzaghi consolidation problem.Subsequently,the two- and three-dimensional cases were performed to study the flow behaviors and deformation characteristics,respectively.In addition,the effects of the penalty factors δ_s and δ_f on the stability of the numerical results were analyzed.The simulation results show that gas saturation and pore pressure continually increase with the injection of gas.The increment of pore pressure reduces the effective stress,which results in deformation and expansion of the porous medium.The gas floats up and gathers at the top boundary due to gravity.The decrease of the penalty factors δ_s and δ_f trends to cause the fluctuation of saturation,pressure,effective stress,and displacement.The increases in penalty factors are beneficial to suppress the discontinuity of the finite element function crossing the elements. |
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来源
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力学学报
,2021,53(8):2235-2245 【核心库】
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DOI
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10.6052/0459-1879-21-177
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关键词
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两相流
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固体变形
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流固耦合
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加罚因子
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数值模拟
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间断伽辽金有限元
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地址
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(徐州)中国矿业大学力学与土木工程学院, 江苏, 徐州, 221116
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(徐州)中国矿业大学, 深部岩土力学与地下工程国家重点实验室, 江苏, 徐州, 221116
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中国科学院力学研究所, 北京, 100190
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中国科学院大学工程科学学院, 北京, 100049
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劳伦斯伯克利国家实验室地球科学部, 美国, 伯克利, 94720
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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0459-1879 |
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学科
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力学;石油、天然气工业 |
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基金
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国家自然科学基金资助
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江苏省自然科学基金
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文献收藏号
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CSCD:7050801
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参考文献 共
33
共2页
|
|
1.
李熙喆. 复杂多孔介质主流通道定量判识标准.
石油勘探与开发,2019,46(5):943-949
|
CSCD被引
15
次
|
|
|
|
|
2.
Ma T R. Fully coupled two-phase flow and poromechanics modeling of coalbed methane recovery: Impact of geomechanics on production rate.
Journal of Natural Gas Science and Engineering,2017,45:474-486
|
CSCD被引
4
次
|
|
|
|
|
3.
沈伟军. 基于等温吸附的页岩水分传输特征研究.
力学学报,2019,51(3):932-939
|
CSCD被引
5
次
|
|
|
|
|
4.
Rutqvist J. Coupled reservoir-geomechanical analysis of CO_2 injection and ground deformations at In Salah, Algeria.
International Journal of Greenhouse Gas Control,2010,4(2):225-230
|
CSCD被引
20
次
|
|
|
|
|
5.
Jha B. A locally conservative finite element framework for the simulation of coupled flow and reservoir geomechanics.
Acta Geotechnica,2007,2(3):139-153
|
CSCD被引
3
次
|
|
|
|
|
6.
Kim J. Stability and convergence of sequential methods for coupled flow and geomechanics: Drained and undrained splits.
Computer Methods in Applied Mechanics & Engineering,2011,200(23/24):2094-2116
|
CSCD被引
4
次
|
|
|
|
|
7.
Lu X. Three-way coupling of multiphase flow and poromechanics in porous media.
Journal of Computational Physics,2020,401:109053
|
CSCD被引
2
次
|
|
|
|
|
8.
Bjornara T I. Vertically integrated models for coupled two-phase flow and geomechanics in porous media.
Water Resources Research,2016,52(2):1398-1417
|
CSCD被引
2
次
|
|
|
|
|
9.
Dong Y. An equivalent method to assess the production performance of horizontal wells with complicated hydraulic fracture network in shale oil reservoirs.
Journal of Natural Gas Science and Engineering,2019,71:102975
|
CSCD被引
2
次
|
|
|
|
|
10.
Khoei A R. Numerical modeling of two-phase fluid flow in deformable fractured porous media using the extended finite element method and an equivalent continuum model.
Advances in Water Resources,2016,94:510-528
|
CSCD被引
6
次
|
|
|
|
|
11.
Glaser D. A discrete fracture model for two-phase flow in fractured porous media.
Advances in Water Resources,2017,110:335-348
|
CSCD被引
1
次
|
|
|
|
|
12.
Salinas P. A discontinuous control volume finite element method for multi-phase flow in heterogeneous porous media.
Journal of Computational Physics,2018,352:602-614
|
CSCD被引
1
次
|
|
|
|
|
13.
王理想. 基于混合方法的二维水力压裂数值模拟.
力学学报,2015,47(6):973-983
|
CSCD被引
11
次
|
|
|
|
|
14.
Jha B. Coupled multiphase flow and poromechanics: A computational model of pore pressure effects on fault slip and earthquake triggering.
Water Resources Research,2014,50(5):3776-3808
|
CSCD被引
2
次
|
|
|
|
|
15.
Rutqvist J. Status of the TOUGH-FLAC simulator and recent applications related to coupled fluid flow and crustal deformations.
Computers & Geosciences,2011,37(6):739-750
|
CSCD被引
29
次
|
|
|
|
|
16.
Arnold D N. Unified analysis of discontinuous Galerkin methods for elliptic problems.
Siam Journal on Numerical Analysis,2002,39(5):1749-1779
|
CSCD被引
72
次
|
|
|
|
|
17.
贺立新. 间断Galerkin有限元和有限体积混合计算方法研究.
力学学报,2007,23(1):15-22
|
CSCD被引
20
次
|
|
|
|
|
18.
刘冬欢. 不连续温度场问题的间断Galerkin方法.
力学学报,2010,42(1):74-82
|
CSCD被引
3
次
|
|
|
|
|
19.
Cockburn B.
Discontinuous Galerkin Methods: Theory, Computation and Applications,2000
|
CSCD被引
1
次
|
|
|
|
|
20.
Shu C W. A brief survey on discontinuous Galerkin methods in computational fluid dynamics.
Advances in Mechanics,2013,43(6):541-553
|
CSCD被引
8
次
|
|
|
|
|
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