Recursive Mixed Multiscale Model Reduction for Karst Conduit-Flow in Carbonate Reservoirs

2021 ◽  
Author(s):  
Paola Ferraz ◽  
Patricia Pereira ◽  
Eduardo Abreu ◽  
Marcio A. Murad
Keyword(s):  
Model Reduction ◽  
Multiscale Model ◽  
Carbonate Reservoirs ◽  
Conduit Flow ◽  
Karst Conduit

Multi-element least square HDMR methods and their applications for stochastic multiscale model reduction

2015 ◽  
Vol 294 ◽  
pp. 439-461 ◽  
Author(s):  
Lijian Jiang ◽  
Xinping Li
Keyword(s):  
Model Reduction ◽  
Multiscale Model ◽  
Least Square

Multiscale model reduction of the wave propagation problem in viscoelastic fractured media

2019 ◽  
Vol 217 (1) ◽  
pp. 558-571 ◽  
Author(s):  
M Vasilyeva ◽  
J D De Basabe ◽  
Y Efendiev ◽  
R L Gibson
Keyword(s):  
Wave Propagation ◽  
Model Reduction ◽  
Multiscale Model ◽  
Fractured Media ◽  
Propagation Problem ◽  
Wave Propagation Problem

Local–global multiscale model reduction for flows in high-contrast heterogeneous media

2012 ◽  
Vol 231 (24) ◽  
pp. 8100-8113 ◽  
Author(s):  
Yalchin Efendiev ◽  
Juan Galvis ◽  
Eduardo Gildin
Keyword(s):  
Model Reduction ◽  
Heterogeneous Media ◽  
Multiscale Model ◽  
High Contrast

Karst conduit flow in the Cambrian St. Lawrence Confining Unit, southeast Minnesota, USA

2012 ◽  
Vol 27 (2) ◽  
pp. 167-172 ◽  
Author(s):  
Jeffrey A. Green ◽  
Anthony C. Runkel ◽  
E. Calvin Alexander
Keyword(s):  
Conduit Flow ◽  
Confining Unit ◽  
Karst Conduit

scholarly journals Representation of water abstraction from a karst conduit with numerical discrete-continuum models

2014 ◽  
Vol 18 (1) ◽  
pp. 227-241 ◽  
Author(s):  
T. Reimann ◽  
M. Giese ◽  
T. Geyer ◽  
R. Liedl ◽  
J. C. Maréchal ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Large Scale ◽  
Pumping Test ◽  
Karst Water ◽  
Karst Aquifers ◽  
Flow Process ◽  
Conduit Flow ◽  
Water Abstraction ◽  
Model Studies ◽  
Karst Conduit

Abstract. Karst aquifers are characterized by highly conductive conduit flow paths embedded in a less conductive fissured and fractured matrix, resulting in strong permeability contrasts with structured heterogeneity and anisotropy. Groundwater storage occurs predominantly in the fissured matrix. Hence, most mathematical karst models assume quasi-steady-state flow in conduits neglecting conduit-associated drainable storage (CADS). The concept of CADS considers storage volumes, where karst water is not part of the active flow system but hydraulically connected to conduits (for example karstic voids and large fractures). The disregard of conduit storage can be inappropriate when direct water abstraction from karst conduits occurs, e.g., large-scale pumping. In such cases, CADS may be relevant. Furthermore, the typical fixed-head boundary condition at the karst outlet can be inadequate for water abstraction scenarios because unhampered water inflow is possible. The objective of this work is to analyze the significance of CADS and flow-limited boundary conditions on the hydraulic behavior of karst aquifers in water abstraction scenarios. To this end, the numerical discrete-continuum model MODFLOW-2005 Conduit Flow Process Mode 1 (CFPM1) is enhanced to account for CADS. Additionally, a fixed-head limited-flow (FHLQ) boundary condition is added that limits inflow from constant head boundaries to a user-defined threshold. The effects and the proper functioning of these modifications are demonstrated by simplified model studies. Both enhancements, CADS and FHLQ boundary, are shown to be useful for water abstraction scenarios within karst aquifers. An idealized representation of a large-scale pumping test in a karst conduit is used to demonstrate that the enhanced CFPM1 is able to adequately represent water abstraction processes in both the conduits and the matrix of real karst systems, as illustrated by its application to the Cent Fonts karst system.

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