Robust system size reduction of discrete fracture networks: a multi-fidelity method that preserves transport characteristics
Abstract
In this paper, we propose a multi-fidelity system reduction technique that uses weighted graphs paired with three-dimensional discrete fracture network (DFN) modelling for efficient simulation of subsurface flow and transport in fractured media. DFN models are used to simulate flow and transport in subsurface fractured rock with low-permeability. One method to alleviate the heavy computational overhead associated with these simulations is to reduce the size of the DFN using a graph representation of it to identify the primary flow sub-network and only simulate flow and transport thereon. The first of these methods used unweighted graphs constructed solely on DFN topology and could be used for accurate predictions of first-passage times. However, these techniques perform poorly when predicting later stages of the mass breakthrough. We utilize a weighted-graph representation of the DFN where edge weights are based on hydrological parameters in the DFN that allows us to exploit the kinematic quantities derivable a posteriori from the flow solution obtained on the graph representation of the DFN to perform system reduction and predict the later stages of the breakthrough curve with high fidelity. We also propose and demonstrate the use of an adaptive pruning algorithm with error control that produces a prunedmore »
- Authors:
-
[1];
[1];
[1];
[1];
[1];
[1]
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1477661
- Report Number(s):
- LA-UR-18-23489
Journal ID: ISSN 1420-0597
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computational Geosciences
- Additional Journal Information:
- Journal Volume: 22; Journal Issue: 6; Journal ID: ISSN 1420-0597
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; 97 MATHEMATICS AND COMPUTING; Earth Sciences; discrete fracture networks; fractured porous media; subsurface flow and transport; graph theory; multi-fidelity
Citation Formats
Srinivasan, Shriram, Hyman, Jeffrey De'Haven, Karra, Satish, O'Malley, Daniel, Viswanathan, Hari S., and Srinivasan, Gowri. Robust system size reduction of discrete fracture networks: a multi-fidelity method that preserves transport characteristics. United States: N. p., 2018.
Web. doi:10.1007/s10596-018-9770-4.
Srinivasan, Shriram, Hyman, Jeffrey De'Haven, Karra, Satish, O'Malley, Daniel, Viswanathan, Hari S., & Srinivasan, Gowri. Robust system size reduction of discrete fracture networks: a multi-fidelity method that preserves transport characteristics. United States. https://doi.org/10.1007/s10596-018-9770-4
Srinivasan, Shriram, Hyman, Jeffrey De'Haven, Karra, Satish, O'Malley, Daniel, Viswanathan, Hari S., and Srinivasan, Gowri. Mon .
"Robust system size reduction of discrete fracture networks: a multi-fidelity method that preserves transport characteristics". United States. https://doi.org/10.1007/s10596-018-9770-4. https://www.osti.gov/servlets/purl/1477661.
@article{osti_1477661,
title = {Robust system size reduction of discrete fracture networks: a multi-fidelity method that preserves transport characteristics},
author = {Srinivasan, Shriram and Hyman, Jeffrey De'Haven and Karra, Satish and O'Malley, Daniel and Viswanathan, Hari S. and Srinivasan, Gowri},
abstractNote = {In this paper, we propose a multi-fidelity system reduction technique that uses weighted graphs paired with three-dimensional discrete fracture network (DFN) modelling for efficient simulation of subsurface flow and transport in fractured media. DFN models are used to simulate flow and transport in subsurface fractured rock with low-permeability. One method to alleviate the heavy computational overhead associated with these simulations is to reduce the size of the DFN using a graph representation of it to identify the primary flow sub-network and only simulate flow and transport thereon. The first of these methods used unweighted graphs constructed solely on DFN topology and could be used for accurate predictions of first-passage times. However, these techniques perform poorly when predicting later stages of the mass breakthrough. We utilize a weighted-graph representation of the DFN where edge weights are based on hydrological parameters in the DFN that allows us to exploit the kinematic quantities derivable a posteriori from the flow solution obtained on the graph representation of the DFN to perform system reduction and predict the later stages of the breakthrough curve with high fidelity. We also propose and demonstrate the use of an adaptive pruning algorithm with error control that produces a pruned DFN sub-network whose predicted mass breakthrough agrees with the original DFN within a user-specified tolerance. Lastly, the method allows for the level of accuracy to be a user-controlled parameter.},
doi = {10.1007/s10596-018-9770-4},
journal = {Computational Geosciences},
number = 6,
volume = 22,
place = {United States},
year = {Mon Sep 17 00:00:00 EDT 2018},
month = {Mon Sep 17 00:00:00 EDT 2018}
}
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Cited by: 16 works
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Figures / Tables:
Fig. 1: (A) A discrete fracture network made up of 10 fracture meshed with 17988 nodes and 36512 triangular elements. (B) The graph representation (vertices are red spheres and edges are black lines). The graph is made up of 11 vertices and 17 edges.
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