Predictive Inverse Model for Advective Heat Transfer in a Short–Circuited Fracture: Dimensional Analysis, Machine Learning, and Field Demonstration
Abstract
Identifying fluid flow maldistribution in planar geometries is a well–established problem in subsurface science/engineering. Of particular importance to the thermal performance of enhanced (or “engineered”) geothermal systems is identifying the existence of nonuniform (i.e., heterogeneous) permeability and subsequently predicting advective heat transfer. Here, machine learning via a genetic algorithm (GA) identifies the spatial distribution of an unknown permeability field in a two–dimensional Hele–Shaw geometry (i.e., parallel plates). The inverse problem is solved by minimizing the L2 norm between simulated residence time distribution (RTD) and measurements of an inert tracer breakthrough curve (BTC) (C–Dot nanoparticle). Principal component analysis (PCA) of spatially correlated permeability fields enabled reduction of the parameter space by more than a factor of 10 and restricted the inverse search to reservoir–scale permeability variations. Thermal experiments and tracer tests conducted at the mesoscale Altona Field Laboratory (AFL) demonstrate that the method accurately predicts the effects of extreme flow channeling on heat transfer in a single bedding–plane rock fracture. However, this is only true when the permeability distributions provide adequate matches to both tracer RTD and frictional pressure loss. Without good agreement to frictional pressure loss, it is still possible to match a simulated RTD to measurements, but subsequent predictionsmore »
- Authors:
-
[1];
[2];
[3];
- Cornell Univ., Ithaca, NY (United States); Stanford Univ., CA (United States)
- Cornell Univ., Ithaca, NY (United States)
- California State Univ. (CalState), Long Beach, CA (United States)
- Publication Date:
- Research Org.:
- Cornell Univ., Ithaca, NY (United States)
- Sponsoring Org.:
- USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Geothermal Technologies Office
- OSTI Identifier:
- 1843957
- Grant/Contract Number:
- EE0006764
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Water Resources Research
- Additional Journal Information:
- Journal Volume: 56; Journal Issue: 11; Journal ID: ISSN 0043-1397
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Hawkins, Adam J., Fox, Don B., Koch, Donald L., Becker, Matthew W., and Tester, Jefferson W. Predictive Inverse Model for Advective Heat Transfer in a Short–Circuited Fracture: Dimensional Analysis, Machine Learning, and Field Demonstration. United States: N. p., 2020.
Web. doi:10.1029/2020wr027065.
Hawkins, Adam J., Fox, Don B., Koch, Donald L., Becker, Matthew W., & Tester, Jefferson W. Predictive Inverse Model for Advective Heat Transfer in a Short–Circuited Fracture: Dimensional Analysis, Machine Learning, and Field Demonstration. United States. https://doi.org/10.1029/2020wr027065
Hawkins, Adam J., Fox, Don B., Koch, Donald L., Becker, Matthew W., and Tester, Jefferson W. Sat .
"Predictive Inverse Model for Advective Heat Transfer in a Short–Circuited Fracture: Dimensional Analysis, Machine Learning, and Field Demonstration". United States. https://doi.org/10.1029/2020wr027065. https://www.osti.gov/servlets/purl/1843957.
@article{osti_1843957,
title = {Predictive Inverse Model for Advective Heat Transfer in a Short–Circuited Fracture: Dimensional Analysis, Machine Learning, and Field Demonstration},
author = {Hawkins, Adam J. and Fox, Don B. and Koch, Donald L. and Becker, Matthew W. and Tester, Jefferson W.},
abstractNote = {Identifying fluid flow maldistribution in planar geometries is a well–established problem in subsurface science/engineering. Of particular importance to the thermal performance of enhanced (or “engineered”) geothermal systems is identifying the existence of nonuniform (i.e., heterogeneous) permeability and subsequently predicting advective heat transfer. Here, machine learning via a genetic algorithm (GA) identifies the spatial distribution of an unknown permeability field in a two–dimensional Hele–Shaw geometry (i.e., parallel plates). The inverse problem is solved by minimizing the L2 norm between simulated residence time distribution (RTD) and measurements of an inert tracer breakthrough curve (BTC) (C–Dot nanoparticle). Principal component analysis (PCA) of spatially correlated permeability fields enabled reduction of the parameter space by more than a factor of 10 and restricted the inverse search to reservoir–scale permeability variations. Thermal experiments and tracer tests conducted at the mesoscale Altona Field Laboratory (AFL) demonstrate that the method accurately predicts the effects of extreme flow channeling on heat transfer in a single bedding–plane rock fracture. However, this is only true when the permeability distributions provide adequate matches to both tracer RTD and frictional pressure loss. Without good agreement to frictional pressure loss, it is still possible to match a simulated RTD to measurements, but subsequent predictions of heat transfer are grossly inaccurate. Here, the results of this study suggest that it is possible to anticipate the thermal effects of flow maldistribution, but only if both simulated RTDs and frictional pressure loss between fluid inlets and outlets are in good agreement with measurements.},
doi = {10.1029/2020wr027065},
journal = {Water Resources Research},
number = 11,
volume = 56,
place = {United States},
year = {Sat Oct 17 00:00:00 EDT 2020},
month = {Sat Oct 17 00:00:00 EDT 2020}
}
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Works referenced in this record:
Flow and Storage in Groundwater Systems
journal, June 2002
- Alley, W. M.
- Science, Vol. 296, Issue 5575
Analysis of tracer test data, and injection-induced cooling, in the Laugaland geothermal field, N-Iceland
journal, December 2001
- Axelsson, Gudni; Flovenz, Olafur G.; Hauksdottir, Steinunn
- Geothermics, Vol. 30, Issue 6, p. 697-725
Tracer transport in fractured crystalline rock: Evidence of nondiffusive breakthrough tailing
journal, July 2000
- Becker, Matthew W.; Shapiro, Allen M.
- Water Resources Research, Vol. 36, Issue 7
Interpreting tracer breakthrough tailing from different forced-gradient tracer experiment configurations in fractured bedrock: TRACER EXPERIMENTS IN FRACTURED BEDROCK
journal, January 2003
- Becker, Matthew W.; Shapiro, Allen M.
- Water Resources Research, Vol. 39, Issue 1
Comparing flux-averaged and resident concentration in a fractured bedrock using ground penetrating radar: CONCENTRATION IN BEDROCK
journal, September 2010
- Becker, Matthew W.; Tsoflias, Georgios P.
- Water Resources Research, Vol. 46, Issue 9
Groundwater flow into underground openings in fractured crystalline rocks: an interpretation based on long channels
journal, December 2016
- Black, John H.; Woodman, Nicholas D.; Barker, John A.
- Hydrogeology Journal, Vol. 25, Issue 2
Solute transport in a single fracture with negligible matrix permeability: 1. fundamental mechanisms
journal, June 2003
- Bodin, J.; Delay, F.; de Marsily, G.
- Hydrogeology Journal, Vol. 11, Issue 4
Roughness of sandstone fracture surfaces: Profilometry and shadow length investigations
journal, January 1999
- Boffa, J. M.; Allain, C.; Chertcoff, R.
- The European Physical Journal B, Vol. 7, Issue 2
Fluid circulation and heat extraction from engineered geothermal reservoirs
journal, August 1999
- Brown, Donald; DuTeaux, Robert; Kruger, Paul
- Geothermics, Vol. 28, Issue 4-5
Correlation between the surfaces of natural rock joints
journal, December 1986
- Brown, Stephen R.; Kranz, Robert L.; Bonner, Brian P.
- Geophysical Research Letters, Vol. 13, Issue 13
Sustainable land use optimization using Boundary-based Fast Genetic Algorithm
journal, May 2012
- Cao, Kai; Huang, Bo; Wang, Shaowen
- Computers, Environment and Urban Systems, Vol. 36, Issue 3
Scales and Effects of Fluid Flow in the Upper Crust
journal, April 1990
- Cathles, Lawrence M.
- Science, Vol. 248, Issue 4953
Data-driven model reduction for the Bayesian solution of inverse problems: DATA-DRIVEN MODEL REDUCTION FOR INVERSE PROBLEMS
journal, August 2014
- Cui, Tiangang; Marzouk, Youssef M.; Willcox, Karen E.
- International Journal for Numerical Methods in Engineering, Vol. 102, Issue 5
Stochastic simulation of radionuclide migration in discretely fractured rock near the Äspö Hard Rock Laboratory: RETENTION IN FRACTURE NETWORKS
journal, February 2004
- Cvetkovic, V.; Painter, S.; Outters, N.
- Water Resources Research, Vol. 40, Issue 2
Combined interpretation of radar, hydraulic, and tracer data from a fractured-rock aquifer near Mirror Lake, New Hampshire, USA
journal, September 2004
- Day-Lewis, Frederick D.; Lane, John W.; Gorelick, Steven M.
- Hydrogeology Journal, Vol. 14, Issue 1-2
Scaling of random fields by means of truncated power variograms and associated spectra
journal, May 1997
- Di Federico, Vittorio; Neuman, Shlomo P.
- Water Resources Research, Vol. 33, Issue 5
Flow in multiscale log conductivity fields with truncated power variograms
journal, May 1998
- Di Federico, Vittorio; Neuman, Shlomo P.
- Water Resources Research, Vol. 34, Issue 5
Reinjection in geothermal fields − A worldwide review update
journal, January 2016
- Rivera Diaz, Alexandre; Kaya, Eylem; Zarrouk, Sadiq J.
- Renewable and Sustainable Energy Reviews, Vol. 53
From evolutionary computation to the evolution of things
journal, May 2015
- Eiben, Agoston E.; Smith, Jim
- Nature, Vol. 521, Issue 7553
Review: The state-of-art of sparse channel models and their applicability to performance assessment of radioactive waste repositories in fractured crystalline formations
journal, May 2016
- Figueiredo, Bruno; Tsang, Chin-Fu; Niemi, Auli
- Hydrogeology Journal, Vol. 24, Issue 7
The effect of spatial aperture variations on the thermal performance of discretely fractured geothermal reservoirs
journal, October 2015
- Fox, Don Bruce; Koch, Donald Lyle; Tester, Jefferson William
- Geothermal Energy, Vol. 3, Issue 1
Non-Fourier thermal transport in fractured geological media: NON-FOURIER THERMAL TRANSPORT
journal, July 2010
- Geiger, Sebastian; Emmanuel, Simon
- Water Resources Research, Vol. 46, Issue 7
Fluid flow in synthetic rough fractures and application to the Hachimantai geothermal hot dry rock test site
journal, May 1998
- Glover, P. W. J.; Matsuki, K.; Hikima, R.
- Journal of Geophysical Research: Solid Earth, Vol. 103, Issue B5
Rock-water interactions in the Fenton Hill, New Mexico, hot dry rock geothermal systems. II. Modeling geochemical behavior
journal, January 1989
- Grigsby, Charles O.; Tester, Jefferson W.
- Geothermics, Vol. 18, Issue 5-6
Measuring well hydraulic connectivity in fractured bedrock using periodic slug tests
journal, February 2015
- Guiltinan, Eric; Becker, Matthew W.
- Journal of Hydrology, Vol. 521
Thermal drawdown-induced flow channeling in a single fracture in EGS
journal, May 2016
- Guo, Bin; Fu, Pengcheng; Hao, Yue
- Geothermics, Vol. 61
Inert and Adsorptive Tracer Tests for Field Measurement of Flow‐Wetted Surface Area
journal, August 2018
- Hawkins, Adam J.; Becker, Matthew W.; Tester, Jefferson W.
- Water Resources Research, Vol. 54, Issue 8
Evaluation of inert tracers in a bedrock fracture using ground penetrating radar and thermal sensors
journal, May 2017
- Hawkins, Adam J.; Becker, Matthew W.; Tsoflias, Georgios P.
- Geothermics, Vol. 67
Measurement and simulation of heat exchange in fractured bedrock using inert and thermally degrading tracers: THERMALLY DEGRADING TESTS
journal, February 2017
- Hawkins, Adam J.; Fox, Don B.; Becker, Matthew W.
- Water Resources Research, Vol. 53, Issue 2
Computer-Automated Evolution of an X-Band Antenna for NASA's Space Technology 5 Mission
journal, March 2011
- Hornby, Gregory. S.; Lohn, Jason D.; Linden, Derek S.
- Evolutionary Computation, Vol. 19, Issue 1
Reservoir engineering aspects of reinjection
journal, January 1985
- Horne, R. N.
- Geothermics, Vol. 14, Issue 2-3
Dispersion in tracer flow in fractured geothermal systems
journal, April 1983
- Horne, Roland N.; Rodriguez, Fernando
- Geophysical Research Letters, Vol. 10, Issue 4
Constraining the uncertainty in fracture geometry using tracer tests
journal, October 2008
- Johnston, Peter B.; Atkinson, Tim; Barker, John
- Hydrogeology Journal, Vol. 17, Issue 3
A closed-form analytical solution for thermal single-well injection-withdrawal tests: ANALYTICAL SOLUTION FOR THERMAL SWIW TESTS
journal, March 2012
- Jung, Yoojin; Pruess, Karsten
- Water Resources Research, Vol. 48, Issue 3
Impact of velocity correlation and distribution on transport in fractured media: Field evidence and theoretical model
journal, February 2015
- Kang, Peter K.; Le Borgne, Tanguy; Dentz, Marco
- Water Resources Research, Vol. 51, Issue 2
Principal Component Geostatistical Approach for large-dimensional inverse problems
journal, July 2014
- Kitanidis, P. K.; Lee, J.
- Water Resources Research, Vol. 50, Issue 7
Transient hydraulic tomography approach to characterize main flowpaths and their connectivity in fractured media
journal, February 2020
- Klepikova, Maria; Brixel, Bernard; Jalali, Mohammadreza
- Advances in Water Resources, Vol. 136
Heat as a tracer for understanding transport processes in fractured media: Theory and field assessment from multiscale thermal push-pull tracer tests: THERMAL PUSH-PULL TRACER TESTS
journal, July 2016
- Klepikova, Maria V.; Le Borgne, Tanguy; Bour, Olivier
- Water Resources Research, Vol. 52, Issue 7
Numerical simulation of flow and heat transfer in fractured crystalline rocks: Application to the Hot Dry Rock site in Rosemanowes (U.K.)
journal, February 1998
- Kolditz, Olaf; Clauser, Christoph
- Geothermics, Vol. 27, Issue 1
Formation Mechanism of Carbogenic Nanoparticles with Dual Photoluminescence Emission
journal, December 2011
- Krysmann, Marta J.; Kelarakis, Antonios; Dallas, Panagiotis
- Journal of the American Chemical Society, Vol. 134, Issue 2
Anomalous dispersion in a dipole flow geometry
journal, January 1994
- Kurowski, P.; Ippolito, I.; Hulin, J. P.
- Physics of Fluids, Vol. 6, Issue 1
Understanding the effect of single-fracture heterogeneity from single-well injection-withdrawal (SWIW) tests
journal, May 2013
- Larsson, Martin; Doughty, Christine; Tsang, Chin-Fu
- Hydrogeology Journal, Vol. 21, Issue 8
Large-scale hydraulic tomography and joint inversion of head and tracer data using the Principal Component Geostatistical Approach (PCGA)
journal, July 2014
- Lee, J.; Kitanidis, P. K.
- Water Resources Research, Vol. 50, Issue 7
Effective solution of nonlinear subsurface flow inverse problems in sparse bases
journal, September 2010
- Li, Lianlin; Jafarpour, Behnam
- Inverse Problems, Vol. 26, Issue 10
Numerical simulation study on the heat extraction performance of multi-well injection enhanced geothermal system
journal, May 2020
- Ma, Yuanyuan; Li, Shibin; Zhang, Ligang
- Renewable Energy, Vol. 151
Monitoring artificially stimulated fluid movement in the Cretaceous Dakota aquifer, western Kansas
journal, December 2002
- Macfarlane, Allen; Förster, Andrea; Merriam, Daniel
- Hydrogeology Journal, Vol. 10, Issue 6
An analysis of hydraulic conductivity scale effects in granite (Full-scale Engineered Barrier Experiment (FEBEX), Grimsel, Switzerland): SCALE EFFECTS OF K IN GRANITES
journal, March 2005
- Martinez-Landa, Lurdes; Carrera, Jesús
- Water Resources Research, Vol. 41, Issue 3
A Reassessment of the Groundwater Inverse Problem
journal, May 1996
- McLaughlin, Dennis; Townley, Lloyd R.
- Water Resources Research, Vol. 32, Issue 5
Geometrical heterogeneities and permeability anisotropy of rough fractures
journal, February 2001
- Méheust, Y.; Schmittbuhl, J.
- Journal of Geophysical Research: Solid Earth, Vol. 106, Issue B2
Thermal energy storage in a confined aquifer: Second cycle
journal, June 1981
- Molz, F. J.; Parr, A. D.; Andersen, P. F.
- Water Resources Research, Vol. 17, Issue 3
Flow and nuclide transport in fractured media: The importance of the flow-wetted surface for radionuclide migration
journal, June 1993
- Moreno, Luis; Neretnieks, Ivars
- Journal of Contaminant Hydrology, Vol. 13, Issue 1-4
Analysis of Some Laboratory Tracer Runs in Natural Fissures
journal, July 1985
- Moreno, Luis; Neretnieks, Ivars; Eriksen, Tryggve
- Water Resources Research, Vol. 21, Issue 7
An Approximate Method for Determining Areal Sweep Efficiency and Flow Capacity in Formations with Anisotropic Permeability
journal, December 1961
- Mortada, M.; Nabor, G. W.
- Society of Petroleum Engineers Journal, Vol. 1, Issue 04
Energy extraction from fractured geothermal reservoirs in low-permeability crystalline rock
journal, January 1981
- Murphy, Hugh D.; Tester, Jefferson W.; Grigsby, Charles O.
- Journal of Geophysical Research, Vol. 86, Issue B8
A note on fracture flow dispersion mechanisms in the ground
journal, April 1983
- Neretnieks, Ivars
- Water Resources Research, Vol. 19, Issue 2
Hydrothermal coupling in a self-affine rough fracture
journal, September 2010
- Neuville, A.; Toussaint, R.; Schmittbuhl, J.
- Physical Review E, Vol. 82, Issue 3
Fracture roughness and thermal exchange: A case study at Soultz-sous-Forêts
journal, July 2010
- Neuville, Amélie; Toussaint, Renaud; Schmittbuhl, Jean
- Comptes Rendus Geoscience, Vol. 342, Issue 7-8
A Field Example of Measuring Hydrodynamic Dispersion in a Single Fracture
journal, August 1985
- Novakowski, Kentner S.; Evans, Gordon V.; Lever, David A.
- Water Resources Research, Vol. 21, Issue 8
Design of pressure-driven microfluidic networks using electric circuit analogy
journal, January 2012
- Oh, Kwang W.; Lee, Kangsun; Ahn, Byungwook
- Lab Chip, Vol. 12, Issue 3
The shunt problem: control of functional shunting in normal and tumour vasculature
journal, July 2010
- Pries, Axel R.; Höpfner, Michael; le Noble, Ferdinand
- Nature Reviews Cancer, Vol. 10, Issue 8
Modeling of geothermal reservoirs: Fundamental processes, computer simulation and field applications
journal, January 1990
- Pruess, Karsten
- Geothermics, Vol. 19, Issue 1
Fluorescent Carbon Nanoparticles: Synthesis, Characterization, and Bioimaging Application
journal, October 2009
- Ray, S. C.; Saha, Arindam; Jana, Nikhil R.
- The Journal of Physical Chemistry C, Vol. 113, Issue 43
Characterizing groundwater flow and heat transport in fractured rock using fiber-optic distributed temperature sensing: FO-DTS FOR FLUID FLOW AND HEAT TRANSPORT
journal, May 2013
- Read, T.; Bour, O.; Bense, V.
- Geophysical Research Letters, Vol. 40, Issue 10
Dispersed fluid flow in fractured reservoirs: An analysis of tracer-determined residence time distributions
journal, November 1984
- Robinson, Bruce A.; Tester, Jefferson W.
- Journal of Geophysical Research: Solid Earth, Vol. 89, Issue B12
Characterization of flow maldistribution using inlet-outlet tracer techniques: An application of internal residence time distributions
journal, January 1986
- Robinson, Bruce A.; Tester, Jefferson W.
- Chemical Engineering Science, Vol. 41, Issue 3
Reservoir Sizing Using Inert and Chemically Reacting Tracers
journal, March 1988
- Robinson, Bruce A.; Tester, Jefferson W.; Brown, Lee F.
- SPE Formation Evaluation, Vol. 3, Issue 01
Scaling invariance of crack surfaces
journal, April 1995
- Schmittbuhl, Jean; Schmitt, François; Scholz, Christopher
- Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B4
Fracture morphology and viscous transport
journal, March 2008
- Schmittbuhl, J.; Steyer, A.; Jouniaux, L.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 45, Issue 3
Hydrogeophysical characterization of transport processes in fractured rock by combining push-pull and single-hole ground penetrating radar experiments: TRANSPORT PROCESSES IN FRACTURED ROCK
journal, February 2016
- Shakas, Alexis; Linde, Niklas; Baron, Ludovic
- Water Resources Research, Vol. 52, Issue 2
Probabilistic inference of fracture-scale flow paths and aperture distribution from hydrogeophysically-monitored tracer tests
journal, December 2018
- Shakas, A.; Linde, N.; Le Borgne, T.
- Journal of Hydrology, Vol. 567
Use of tracers and temperature to estimate fracture surface area for EGS reservoirs
journal, May 2017
- Shook, G. Michael; Suzuki, Anna
- Geothermics, Vol. 67
Optimization of fluorescence and surface adsorption of citric acid/ethanolamine carbon nanoparticles for subsurface tracers
journal, November 2020
- Sinclair, Laura; Brown, Joseph; Salim, Muhammad G.
- Carbon, Vol. 169
Overview of geological and hydrogeological conditions of the Äspö hard rock laboratory site
journal, September 1999
- Stanfors, Roy; Rhén, Ingvar; Tullborg, Eva-Lena
- Applied Geochemistry, Vol. 14, Issue 7
Engineering Flows in Small Devices
journal, January 2004
- Stone, H. A.; Stroock, A. D.; Ajdari, A.
- Annual Review of Fluid Mechanics, Vol. 36, Issue 1
Assessing preferential flow by simultaneously injecting nanoparticle and chemical tracers: NANOPARTICLE TRACERS
journal, January 2013
- Subramanian, S. K.; Li, Yan; Cathles, L. M.
- Water Resources Research, Vol. 49, Issue 1
Four dimensional mapping of tracer channelization in subhorizontal bedrock fractures using surface ground penetrating radar: 4D MAPPING OF FLOW CHANNELING USING GPR
journal, February 2005
- Talley, Jennifer; Baker, Gregory S.; Becker, Matthew W.
- Geophysical Research Letters, Vol. 32, Issue 4
Contaminant transport in fractured porous media: Analytical solution for a single fracture
journal, June 1981
- Tang, D. H.; Frind, E. O.; Sudicky, E. A.
- Water Resources Research, Vol. 17, Issue 3
A genetic algorithm based approach to vehicle routing problem with simultaneous pick-up and deliveries
journal, April 2012
- Tasan, A. Serdar; Gen, Mitsuo
- Computers & Industrial Engineering, Vol. 62, Issue 3
Interwell Tracer Analyses of a Hydraulically Fractured Granitic Geothermal Reservoir
journal, August 1982
- Tester, Jefferson W.; Bivins, Robert L.; Potter, Robert M.
- Society of Petroleum Engineers Journal, Vol. 22, Issue 04
Disentangling interfacial energetics
journal, December 2017
- Toma, Francesca Maria
- Nature Energy, Vol. 3, Issue 1
Non-Fickian dispersivity investigation from numerical simulations of tracer transport in a model double-porosity medium at different saturations
journal, October 2020
- Tran Ngoc, T. D. (Tiến Dũng); Ahmadi, Azita; Bertin, Henri
- Journal of Contaminant Hydrology, Vol. 234
Tracer Transport in Fractures: Analysis of Field Data Based on a Variable-Aperture Channel Model
journal, December 1991
- Tsang, C. F.; Tsang, Y. W.; Hale, F. V.
- Water Resources Research, Vol. 27, Issue 12
Flow channeling in a single fracture as a two-dimensional strongly heterogeneous permeable medium
journal, September 1989
- Tsang, Y. W.; Tsang, C. F.
- Water Resources Research, Vol. 25, Issue 9
Ground-penetrating-radar response to fracture-fluid salinity: Why lower frequencies are favorable for resolving salinity changes
journal, September 2008
- Tsoflias, Georgios P.; Becker, Matthew W.
- GEOPHYSICS, Vol. 73, Issue 5
Cross-polarized GPR imaging of fracture flow channeling
journal, December 2015
- Tsoflias, Georgios P.; Perll, Christopher; Baker, Matthew
- Journal of Earth Science, Vol. 26, Issue 6
Reduced-order optimal control of water flooding using proper orthogonal decomposition
journal, March 2006
- van Doren, Jorn F. M.; Markovinović, Renato; Jansen, Jan-Dirk
- Computational Geosciences, Vol. 10, Issue 1
Conservative Solute Versus Heat Transport in Porous Media During Push-pull Tests
journal, May 2008
- Vandenbohede, A.; Louwyck, A.; Lebbe, L.
- Transport in Porous Media, Vol. 76, Issue 2
A New Differentiable Parameterization Based on Principal Component Analysis for the Low-Dimensional Representation of Complex Geological Models
journal, July 2014
- Vo, Hai X.; Durlofsky, Louis J.
- Mathematical Geosciences, Vol. 46, Issue 7
Permeability and seismic velocity anisotropy across a ductile–brittle fault zone in crystalline rock
journal, January 2018
- Wenning, Quinn C.; Madonna, Claudio; de Haller, Antoine
- Solid Earth, Vol. 9, Issue 3
Form, shape and function: segmented blood flow in the choriocapillaris
journal, October 2016
- Zouache, M. A.; Eames, I.; Klettner, C. A.
- Scientific Reports, Vol. 6, Issue 1
Flow and passive transport in planar multipolar flows
journal, November 2018
- Zouache, M. A.; Eames, I.; Klettner, C. A.
- Journal of Fluid Mechanics, Vol. 858
Roughness of sandstone fracture surfaces: Profilometry and shadow length investigations
journal, January 1999
- Boffa, J. M.; Allain, C.; Chertcoff, R.
- The European Physical Journal B, Vol. 7, Issue 2
Investigation of conceptual and numerical approaches for evaluating moisture, gas, chemical, and heat transport in fractured unsaturated rock
journal, May 1999
- Doughty, Christine
- Journal of Contaminant Hydrology, Vol. 38, Issue 1-3