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Physics of Porous Media: Fluid Flow Through Porous Media

Bernabé, Y., & Maineult, A. (2015) · Elsevier eBooks · doi:10.1016/b978-0-444-53802-4.00188-3 · Cited by 40 · see citing works

Efficient Incorporation of Global Effects in Upscaled Models of Two-Phase Flow and Transport in Heterogeneous Formations

Chen, Y., & Durlofsky, L. J. (2006) · Multiscale Modeling and Simulation · doi:10.1137/060650404 · Cited by 38 · see citing works

Upscaling and its application in numerical simulation of long‐term CO2 storage

Hassan, W. A. A., & Jiang, X. (2012) · Greenhouse Gases Science and Technology · doi:10.1002/ghg.1306 · Cited by 37 · see citing works

Adaptive numerical homogenization for upscaling single phase flow and transport

Amanbek, Y., Singh, G., Wheeler, M. F., & van Duijn, H. C. J. (2019) · Journal of Computational Physics · doi:10.1016/j.jcp.2019.02.014 · Cited by 37 · see citing works

Generation of Voronoi Grid Based on Vorticity for Coarse-Scale Modeling of Flow in Heterogeneous Formations

Evazi, M. R., & Mahani, H. (2009) · Transport in Porous Media · doi:10.1007/s11242-009-9458-2 · Cited by 36 · see citing works

A General Non-Uniform Coarsening and Upscaling Framework for Reduced-Order Modeling

Lie, K., Kedia, K. S., Skaflestad, B., Wang, X., Yang, Y., Wu, X., & Hoda, N. (2017) · SPE Reservoir Simulation Conference · doi:10.2118/182681-ms · Cited by 36 · see citing works

Analytical three-dimensional renormalization for calculating effective permeabilities

Green, C. P., & Paterson, L. (2006) · Transport in Porous Media · doi:10.1007/s11242-006-9042-y · Cited by 36 · see citing works

Upscaling the shallow water model with a novel roughness formulation

Özgen‐Xian, I., Teuber, K., Simons, F., Liang, D., & Hinkelmann, R. (2015) · Environmental Earth Sciences · doi:10.1007/s12665-015-4726-7 · Cited by 34 · see citing works

Upscaling thermal conductivities of sedimentary formations for geothermal exploration

Rühaak, W., Guadagnini, A., Geiger, S., Bär, K., Gu, Y., Aretz, A., Homuth, S., & Sass, I. (2015) · Geothermics · doi:10.1016/j.geothermics.2015.08.004 · Cited by 34 · see citing works

Ensemble-Level Upscaling for Efficient Estimation of Fine-Scale Production Statistics

Chen, Y., & Durlofsky, L. J. (2008) · SPE Journal · doi:10.2118/106086-pa · Cited by 34 · see citing works

Vorticity as a measure of heterogeneity for improving coarse grid generation

Mahani, H., Muggeridge, A. H., & Ashjari, M. A. (2009) · Petroleum Geoscience · doi:10.1144/1354-079309-802 · Cited by 33 · see citing works

A Quantitative and Qualitative Comparison of Coarse-Grid-Generation Techniques for Modeling Fluid Displacement in Heterogeneous Porous Media

Mostaghimi, P., & Mahani, H. (2010) · SPE Reservoir Evaluation & Engineering · doi:10.2118/118712-pa · Cited by 33 · see citing works

Local-Global Two-Phase Upscaling of Flow and Transport in Heterogeneous Formations

Chen, Y., & Li, Y. (2009) · Multiscale Modeling and Simulation · doi:10.1137/090750949 · Cited by 33 · see citing works

Analysis of Upscaling Algorithms in Heterogeneous Reservoirs with Different Recovery Processes

Ampomah, W., Balch, R., & Grigg, R. B. (2015) · SPE Production Operations Symposium · doi:10.2118/173588-ms · Cited by 32 · see citing works

Application of the multiscale finite element method to flow in heterogeneous porous media

Ye, S., Xue, Y., & Xie, C. (2004) · Water Resources Research · doi:10.1029/2003wr002914 · Cited by 32 · see citing works

The impact of hydrothermal alteration on the physiochemical characteristics of reservoir rocks: the case of the Los Humeros geothermal field (Mexico)

Weydt, L., Lucci, F., Lacinska, A., Scheuvens, D., Carrasco‐Núñez, G., Giordano, G., Rochelle, C. A., Schmidt, S., Bär, K., & Sass, I. (2022) · Geothermal Energy · doi:10.1186/s40517-022-00231-5 · Cited by 31 · see citing works

Direct Multiple-Point Geostatistical Simulation of Edge Properties for Modeling Thin Irregularly Shaped Surfaces

Huysmans, M., & Dassargues, A. (2011) · Mathematical Geosciences · doi:10.1007/s11004-011-9336-7 · Cited by 31 · see citing works

A coarse-scale compositional model

Iranshahr, A., Chen, Y., & Voskov, D. (2014) · Computational Geosciences · doi:10.1007/s10596-014-9427-x · Cited by 30 · see citing works

A PCA spatial pattern based artificial neural network downscaling model for urban flood hazard assessment

Carreau, J., & Guinot, V. (2020) · Advances in Water Resources · doi:10.1016/j.advwatres.2020.103821 · Cited by 30 · see citing works

A review of the physical and mechanical properties of volcanic rocks and magmas in the brittle and ductile regimes

Lavallée, Y., & Kendrick, J. E. (2020) · Elsevier eBooks · doi:10.1016/b978-0-12-818082-2.00005-6 · Cited by 29 · see citing works

Nonparametric Density Estimation for Randomly Perturbed Elliptic Problems I: Computational Methods, A Posteriori Analysis, and Adaptive Error Control

Estep, D., Målqvist, A., & Tavener, S. (2009) · SIAM Journal on Scientific Computing · doi:10.1137/080731670 · Cited by 29 · see citing works

Geological Modelling and Reservoir Simulation

Farmer, C. L. (2005) · Mathematics in industry · doi:10.1007/3-540-26493-0_6 · Cited by 29 · see citing works

Scaling up through domain decomposition

Pechstein, C. G. A., & Scheichl, R. (2009) · Applicable Analysis · doi:10.1080/00036810903157204 · Cited by 27 · see citing works

Machine learning assisted relative permeability upscaling for uncertainty quantification

Wang, Y., Li, H., Xu, J., Liu, S., & Wang, X. (2022) · Energy · doi:10.1016/j.energy.2022.123284 · Cited by 27 · see citing works

Linear Solvers for Reservoir Simulation Problems: An Overview and Recent Developments

Nardean, S., Ferronato, M., & Abushaikha, A. S. A. (2022) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-022-09739-2 · Cited by 27 · see citing works

Novel permeability upscaling method using Fast Marching Method

Sharifi, M., & Kelkar, M. G. (2013) · Fuel · doi:10.1016/j.fuel.2013.08.084 · Cited by 26 · see citing works

A Modified Nested-Gridding for Upscaling–Downscaling in Reservoir Simulation

Babaei, M., & King, P. R. (2012) · Transport in Porous Media · doi:10.1007/s11242-012-9981-4 · Cited by 26 · see citing works

A Dual-Grid Method for the Upscaling of Solid-Based Thermal Reactive Flow, With Application to the In-Situ Conversion Process

Li, H., Vink, J. C., & Alpak, F. O. (2016) · SPE Journal · doi:10.2118/173248-pa · Cited by 26 · see citing works

Limitations to upscaling of groundwater flow models dominated by surface water interaction

Vermeulen, P. T. M., Stroet, C. B. M. T., & Heemink, A. W. (2006) · Water Resources Research · doi:10.1029/2005wr004620 · Cited by 26 · see citing works

Transmissivity upscaling in numerical aquifer models of steady well flow: Unconditional statistics

Dagan, G., & Lessoff, S. C. (2007) · Water Resources Research · doi:10.1029/2006wr005235 · Cited by 26 · see citing works

Geostatistical Simulation and Numerical Upscaling, to Model Ground-Water Flow in a Sandy-Gravel, Braided River, Aquifer Analogue

Felletti, F., Bersezio, R., & Giudici, M. (2006) · Journal of Sedimentary Research · doi:10.2110/jsr.2006.091 · Cited by 26 · see citing works

Analytical solutions for two‐phase subsurface flow to a leaky fault considering vertical flow effects and fault properties

Kang, M., Nordbotten, J. M., Doster, F., & Celia, M. A. (2014) · Water Resources Research · doi:10.1002/2013wr014628 · Cited by 25 · see citing works

A multi-scale network method for two-phase flow in porous media

Khayrat, K., & Jenny, P. (2017) · Journal of Computational Physics · doi:10.1016/j.jcp.2017.04.023 · Cited by 25 · see citing works

Analytical solution for upscaling hydraulic conductivity in anisotropic heterogeneous formations

Liao, Q., Lei, G., Zhang, D., & Patil, S. L. (2019) · Advances in Water Resources · doi:10.1016/j.advwatres.2019.04.011 · Cited by 25 · see citing works

Assessment of multilevel ensemble-based data assimilation for reservoir history matching

Fossum, K., Trond Mannseth, A., & Stordal, A. S. (2019) · Computational Geosciences · doi:10.1007/s10596-019-09911-x · Cited by 25 · see citing works

Static connectivity of stacked deep-water channel elements constrained by high-resolution digital outcrop models

Jackson, A., Stright, L., Hubbard, S. M., & Romans, B. W. (2019) · AAPG Bulletin · doi:10.1306/03061917346 · Cited by 25 · see citing works

Accurate coarse modeling of well-driven, high-mobility-ratio displacements in heterogeneous reservoirs

Hui, M.-H. R., & Durlofsky, L. J. (2005) · Journal of Petroleum Science and Engineering · doi:10.1016/j.petrol.2005.07.004 · Cited by 24 · see citing works

Stochastic modeling of mesoscopic elasticity random field

Tran, V. P., Guilleminot, J., Brisard, S., & Sab, K. (2015) · Mechanics of Materials · doi:10.1016/j.mechmat.2015.10.007 · Cited by 24 · see citing works

Numerical homogenization of the Richards equation for unsaturated water flow through heterogeneous soils

Li, N., Yue, X., & Ren, L. (2016) · Water Resources Research · doi:10.1002/2015wr018508 · Cited by 24 · see citing works

Upscaled modeling of well singularity for simulating flow in heterogeneous formations

Chen, Y., & Wu, X. (2008) · Computational Geosciences · doi:10.1007/s10596-007-9059-5 · Cited by 24 · see citing works

Statistical Upscaling and Downscaling in Hydrology

Blöschl, G. (2005) · Encyclopedia of Hydrological Sciences · doi:10.1002/0470848944.hsa008 · Cited by 24 · see citing works

Analysis of the scale-dependence of the hydraulic conductivity in complex fractured media

Piña, A., Donado, L. D., & Blessent, D. (2018) · Journal of Hydrology · doi:10.1016/j.jhydrol.2018.12.006 · Cited by 23 · see citing works

From oil field to geothermal reservoir: assessment for geothermal utilization of two regionally extensive Devonian carbonate aquifers in Alberta, Canada

Weydt, L., Heldmann, C.-D., Machel, H. G., & Sass, I. (2018) · Solid Earth · doi:10.5194/se-9-953-2018 · Cited by 23 · see citing works

Database of petrophysical properties of the Mid-German Crystalline Rise

Weinert, S., Bär, K., & Sass, I. (2021) · Earth system science data · doi:10.5194/essd-13-1441-2021 · Cited by 22 · see citing works

Multilevel Upscaling in Heterogeneous Porous Media

Moulton, J. D., Knapek, S., & Dendy, J. E. (1999)

The Method of Finite Averages: A rigorous upscaling methodology for heterogeneous porous media

Pietrzyk, K. (2024) · Advances in Water Resources · doi:10.1016/j.advwatres.2024.104689 · Cited by 2 · see citing works

Recent Advances of Upscaling Methods for the Simulation of Flow Transport Through Heterogeneous Porous Media

Chen, Z. (2006) · Journal of Computational Mathematics · doi:10.4208/jcm.v24.n3.p393 · Cited by 4 · see citing works

3D Upscaling method of heterogeneous fluid in porous media

Liu, F. (2007) · Progress in geophysics

Computational Upscaling of Inertia Effects from Porescale to Mesoscale

Peszyńska, M., Trykozko, A., & Augustson, K. (2009) · Lecture notes in computer science · doi:10.1007/978-3-642-01970-8_69 · Cited by 18 · see citing works