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Probability density function (PDF) models for particle transport in porous media 多孔介质中粒子输运的概率密度函数模型
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-08-04 DOI: 10.1007/s13137-020-00153-z
Matteo Icardi, M. Dentz
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引用次数: 3
Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability 具有不确定孔隙度和渗透率的三维密度驱动地下水流动问题的求解
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-05-31 DOI: 10.1007/s13137-020-0147-1
A. Litvinenko, D. Logashenko, R. Tempone, G. Wittum, D. Keyes
{"title":"Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability","authors":"A. Litvinenko, D. Logashenko, R. Tempone, G. Wittum, D. Keyes","doi":"10.1007/s13137-020-0147-1","DOIUrl":"https://doi.org/10.1007/s13137-020-0147-1","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"11 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2019-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-020-0147-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41830212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Handbook of mathematical geodesy-functional analytic and potential theoretic methods 数学大地测量手册-泛函分析和势理论方法
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-04-13 DOI: 10.1007/s13137-019-0125-7
K. Koch
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引用次数: 2
Numerical aspects of hydro-mechanical coupling of fluid-filled fractures using hybrid-dimensional element formulations and non-conformal meshes 采用混合维单元公式和非保形网格的充液裂缝的水-力耦合数值研究
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-02-10 DOI: 10.1007/s13137-019-0127-5
P. Schmidt, H. Steeb
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引用次数: 14
Two-phase Discrete Fracture Matrix models with linear and nonlinear transmission conditions 具有线性和非线性传输条件的两相离散断裂矩阵模型
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-01-20 DOI: 10.1007/s13137-019-0118-6
Joubine Aghili, K. Brenner, Julian Hennicker, R. Masson, L. Trenty
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引用次数: 31
Translation matrix elements for spherical Gauss–Laguerre basis functions 球面高斯-拉盖尔基函数的平移矩阵元素
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-01-20 DOI: 10.1007/s13137-019-0124-8
Jürgen Prestin, C. Wülker
{"title":"Translation matrix elements for spherical Gauss–Laguerre basis functions","authors":"Jürgen Prestin, C. Wülker","doi":"10.1007/s13137-019-0124-8","DOIUrl":"https://doi.org/10.1007/s13137-019-0124-8","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"10 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2019-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-019-0124-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52684118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures 含裂缝多孔介质流动的稳定拉格朗日乘子有限元方法
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-01-20 DOI: 10.1007/s13137-019-0117-7
Markus Köppel, Vincent Martin, J. Roberts
{"title":"A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures","authors":"Markus Köppel, Vincent Martin, J. Roberts","doi":"10.1007/s13137-019-0117-7","DOIUrl":"https://doi.org/10.1007/s13137-019-0117-7","url":null,"abstract":"","PeriodicalId":44484,"journal":{"name":"GEM-International Journal on Geomathematics","volume":"58 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2019-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s13137-019-0117-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52683985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells 三维储层与一维井相互作用的数学分析、有限元逼近和数值求解
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-01-20 DOI: 10.1007/s13137-019-0115-9
D. Cerroni, F. Laurino, P. Zunino
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引用次数: 26
A first approach to learning a best basis for gravitational field modelling 学习引力场建模最佳基础的第一种方法
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-01-14 DOI: 10.1007/s13137-020-0143-5
V. Michel, N. Schneider
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引用次数: 6
A cut finite element method for elliptic bulk problems with embedded surfaces. 具有嵌入曲面的椭圆体问题的割有限元方法。
IF 1.8 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
GEM-International Journal on Geomathematics
Pub Date : 2019-01-01 Epub Date: 2019-01-29 DOI: 10.1007/s13137-019-0120-z
Erik Burman, Peter Hansbo, Mats G Larson, David Samvin

We propose an unfitted finite element method for flow in fractured porous media. The coupling across the fracture uses a Nitsche type mortaring, allowing for an accurate representation of the jump in the normal component of the gradient of the discrete solution across the fracture. The flow field in the fracture is modelled simultaneously, using the average of traces of the bulk variables on the fractures. In particular the Laplace-Beltrami operator for the transport in the fracture is included using the average of the projection on the tangential plane of the fracture of the trace of the bulk gradient. Optimal order error estimates are proven under suitable regularity assumptions on the domain geometry. The extension to the case of bifurcating fractures is discussed. Finally the theory is illustrated by a series of numerical examples.

我们提出了一种求解裂隙多孔介质中流动的不适配有限元方法。穿过裂缝的耦合使用Nitsche型mortaring，从而能够准确表示穿过裂缝的离散解的梯度的法向分量的跳跃。使用裂缝上体积变量轨迹的平均值，同时对裂缝中的流场进行建模。特别地，使用体积梯度轨迹在裂缝切向平面上的投影的平均值，包括用于裂缝中传输的拉普拉斯-贝尔特拉米算子。在域几何上的适当正则性假设下，证明了最优阶误差估计。讨论了分叉裂缝情况的扩展。最后通过一系列数值算例对该理论进行了说明。
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引用次数: 2
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