Toward a new parameterization of hydraulic conductivity in climate models: Simulation of rapid groundwater fluctuations in N orthern C alifornia
Abstract
Abstract Preferential flow through weathered bedrock leads to rapid rise of the water table after the first rainstorms and significant water storage (also known as “rock moisture”) in the fractures. We present a new parameterization of hydraulic conductivity that captures the preferential flow and is easy to implement in global climate models. To mimic the naturally varying heterogeneity with depth in the subsurface, the model represents the hydraulic conductivity as a product of the effective saturation and a background hydraulic conductivity K bkg , drawn from a lognormal distribution. The mean of the background K bkg decreases monotonically with depth, while its variance reduces with the effective saturation. Model parameters are derived by assimilating into Richards’ equation 6 years of 30 min observations of precipitation (mm) and water table depths (m), from seven wells along a steep hillslope in the Eel River watershed in Northern California. The results show that the observed rapid penetration of precipitation and the fast rise of the water table from the well locations, after the first winter rains, are well captured with the new stochastic approach in contrast to the standard van Genuchten model of hydraulic conductivity, which requires significantly higher levels of saturated soilsmore »
- Authors:
-
- Department of Earth and Planetary Science University of California, Berkeley Berkeley California USA
- Publication Date:
- Research Org.:
- University of California, Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1619308
- Alternate Identifier(s):
- OSTI ID: 1243309
- Grant/Contract Number:
- SC0010857
- Resource Type:
- Published Article
- Journal Name:
- Journal of Advances in Modeling Earth Systems
- Additional Journal Information:
- Journal Name: Journal of Advances in Modeling Earth Systems Journal Volume: 7 Journal Issue: 4; Journal ID: ISSN 1942-2466
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES
Citation Formats
Vrettas, Michail D., and Fung, Inez Y. Toward a new parameterization of hydraulic conductivity in climate models: Simulation of rapid groundwater fluctuations in N orthern C alifornia. United States: N. p., 2015.
Web. doi:10.1002/2015MS000516.
Vrettas, Michail D., & Fung, Inez Y. Toward a new parameterization of hydraulic conductivity in climate models: Simulation of rapid groundwater fluctuations in N orthern C alifornia. United States. https://doi.org/10.1002/2015MS000516
Vrettas, Michail D., and Fung, Inez Y. Thu .
"Toward a new parameterization of hydraulic conductivity in climate models: Simulation of rapid groundwater fluctuations in N orthern C alifornia". United States. https://doi.org/10.1002/2015MS000516.
@article{osti_1619308,
title = {Toward a new parameterization of hydraulic conductivity in climate models: Simulation of rapid groundwater fluctuations in N orthern C alifornia},
author = {Vrettas, Michail D. and Fung, Inez Y.},
abstractNote = {Abstract Preferential flow through weathered bedrock leads to rapid rise of the water table after the first rainstorms and significant water storage (also known as “rock moisture”) in the fractures. We present a new parameterization of hydraulic conductivity that captures the preferential flow and is easy to implement in global climate models. To mimic the naturally varying heterogeneity with depth in the subsurface, the model represents the hydraulic conductivity as a product of the effective saturation and a background hydraulic conductivity K bkg , drawn from a lognormal distribution. The mean of the background K bkg decreases monotonically with depth, while its variance reduces with the effective saturation. Model parameters are derived by assimilating into Richards’ equation 6 years of 30 min observations of precipitation (mm) and water table depths (m), from seven wells along a steep hillslope in the Eel River watershed in Northern California. The results show that the observed rapid penetration of precipitation and the fast rise of the water table from the well locations, after the first winter rains, are well captured with the new stochastic approach in contrast to the standard van Genuchten model of hydraulic conductivity, which requires significantly higher levels of saturated soils to produce the same results. “Rock moisture,” the moisture between the soil mantle and the water table, comprises 30% of the moisture because of the great depth of the weathered bedrock layer and could be a potential source of moisture to sustain trees through extended dry periods. Furthermore, storage of moisture in the soil mantle is smaller, implying less surface runoff and less evaporation, with the proposed new model.},
doi = {10.1002/2015MS000516},
journal = {Journal of Advances in Modeling Earth Systems},
number = 4,
volume = 7,
place = {United States},
year = {Thu Dec 31 00:00:00 EST 2015},
month = {Thu Dec 31 00:00:00 EST 2015}
}
https://doi.org/10.1002/2015MS000516
Web of Science
Works referenced in this record:
A simple hydrologically based model of land surface water and energy fluxes for general circulation models
journal, January 1994
- Liang, Xu; Lettenmaier, Dennis P.; Wood, Eric F.
- Journal of Geophysical Research, Vol. 99, Issue D7
Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils: 2. Statistically Anisotropic Media With Variable α
journal, April 1985
- Yeh, T. -C. Jim; Gelhar, Lynn W.; Gutjahr, Allan L.
- Water Resources Research, Vol. 21, Issue 4
Towards a Bayesian total error analysis of conceptual rainfall-runoff models: Characterising model error using storm-dependent parameters
journal, November 2006
- Kuczera, George; Kavetski, Dmitri; Franks, Stewart
- Journal of Hydrology, Vol. 331, Issue 1-2
A Modified Mualem–van Genuchten Formulation for Improved Description of the Hydraulic Conductivity Near Saturation
journal, January 2006
- Schaap, Marcel G.; van Genuchten, Martinus Th.
- Vadose Zone Journal, Vol. 5, Issue 1
Capillary tension head variance, mean soil moisture content, and effective specific soil moisture capacity of transient unsaturated flow in stratified soils
journal, January 1987
- Mantoglou, Aristotelis; Gelhar, Lynn
- Water Resources Research, Vol. 23, Issue 1
The finite volume method for Richards equation
journal, December 1999
- Eymard, Robert; Gutnic, Michaël; Hilhorst, Danielle
- Computational Geosciences, Vol. 3, Issue 3/4, p. 259-294
A general mass-conservative numerical solution for the unsaturated flow equation
journal, July 1990
- Celia, Michael A.; Bouloutas, Efthimios T.; Zarba, Rebecca L.
- Water Resources Research, Vol. 26, Issue 7
The role of stochastic hydrogeological modeling in real-world engineering applications
journal, August 2004
- Freeze, R. Allan
- Stochastic Environmental Research and Risk Assessment, Vol. 18, Issue 4
Stochastic hydrology: practical alternatives exist
journal, August 2004
- Winter, C. L.
- Stochastic Environmental Research and Risk Assessment, Vol. 18, Issue 4
Modeling Coupled Surface-Subsurface Flow Processes: A Review
journal, May 2008
- Furman, Alex
- Vadose Zone Journal, Vol. 7, Issue 2
3.6.2. Inverse Methods
book, January 2002
- Hopmans, Jan W.; Šimůnek, Jiří; Romano, Nunzio
- Methods of Soil Analysis: Part 4 Physical Methods
Stochastic subsurface hydrology from theory to applications
journal, August 1986
- Gelhar, Lynn W.
- Water Resources Research, Vol. 22, Issue 9S
One-dimensional steady state infiltration in heterogeneous soils
journal, October 1989
- Yeh, T. -C. Jim
- Water Resources Research, Vol. 25, Issue 10
Stochastic modeling of groundwater flow by unconditional and conditional probabilities: 1. Conditional simulation and the direct problem
journal, August 1982
- Dagan, G.
- Water Resources Research, Vol. 18, Issue 4
Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils: 3. Observations and Applications
journal, April 1985
- Yeh, T. -C. Jim; Gelhar, Lynn W.; Gutjahr, Allan L.
- Water Resources Research, Vol. 21, Issue 4
On the Nature of Soil Moisture in Land Surface Models
journal, August 2009
- Koster, Randal D.; Guo, Zhichang; Yang, Rongqian
- Journal of Climate, Vol. 22, Issue 16
Rain, rock moisture dynamics, and the rapid response of perched groundwater in weathered, fractured argillite underlying a steep hillslope: MOISTURE DYNAMICS AND GROUNDWATER IN WEATHERED ROCK
journal, November 2012
- Salve, Rohit; Rempe, Daniella M.; Dietrich, William E.
- Water Resources Research, Vol. 48, Issue 11
Physical pictures of transport in heterogeneous media: Advection-dispersion, random-walk, and fractional derivative formulations: TRANSPORT IN HETEROGENEOUS MEDIA
journal, October 2002
- Berkowitz, Brian; Klafter, Joseph; Metzler, Ralf
- Water Resources Research, Vol. 38, Issue 10
Analysis of Measured, Predicted, and Estimated Hydraulic Conductivity Using the RETC Computer Program
journal, March 1992
- Yates, S. R.; van Genuchten, M. Th.; Warrick, A. W.
- Soil Science Society of America Journal, Vol. 56, Issue 2
Stochastic modeling of large-scale transient unsaturated flow systems
journal, January 1987
- Mantoglou, Aristotelis; Gelhar, Lynn W.
- Water Resources Research, Vol. 23, Issue 1
Global separation of plant transpiration from groundwater and streamflow
journal, September 2015
- Evaristo, Jaivime; Jasechko, Scott; McDonnell, Jeffrey J.
- Nature, Vol. 525, Issue 7567
Post-Irrigation Movement of Soil Water: 1. Redistribution
journal, June 1970
- Gardner, W. R.; Hillel, D.; Benyamini, Y.
- Water Resources Research, Vol. 6, Issue 3
A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media
journal, October 1975
- Freeze, R. Allan
- Water Resources Research, Vol. 11, Issue 5
A mass-conservative procedure for time-stepping in models of unsaturated flow
journal, March 1985
- Milly, P. C. D.
- Advances in Water Resources, Vol. 8, Issue 1
Modeling Soil Water and Solute Transport-Fast, Simplified Numerical Solutions
journal, November 2003
- Ross, P. J.
- Agronomy Journal, Vol. 95, Issue 6
Evolution of regoliths and landscapes in deeply weathered terrain — implications for geochemical exploration
journal, June 2000
- Butt, C. R. M.; Lintern, M. J.; Anand, R. R.
- Ore Geology Reviews, Vol. 16, Issue 3-4
An updated treatment of soil texture and associated hydraulic properties in a global land modeling system
journal, October 2014
- De Lannoy, Gabriëlle J. M.; Koster, Randal D.; Reichle, Rolf H.
- Journal of Advances in Modeling Earth Systems, Vol. 6, Issue 4
A simple TOPMODEL-based runoff parameterization (SIMTOP) for use in global climate models
journal, January 2005
- Niu, Guo-Yue; Yang, Zong-Liang; Dickinson, Robert E.
- Journal of Geophysical Research, Vol. 110, Issue D21
Some Steady-State Solutions of the Unsaturated Moisture flow Equation with Application to Evaporation from a Water Table
journal, January 1958
- Gardner, W. R.
- Soil Science, Vol. 85, Issue 4
Stochastic analysis of transient flow in unsaturated heterogeneous soils
journal, April 2000
- Foussereau, X.; Graham, W. D.; Rao, P. S. C.
- Water Resources Research, Vol. 36, Issue 4
A physically based, two-dimensional, finite-difference algorithm for modeling variably saturated flow
journal, September 1994
- Clement, T. P.; Wise, William R.; Molz, Fred J.
- Journal of Hydrology, Vol. 161, Issue 1-4
Stochastic analysis of transport in unsaturated heterogeneous soils uder transient flow regimes
journal, April 2000
- Foussereau, X.; Graham, W. D.; Akpoji, G. Ashie
- Water Resources Research, Vol. 36, Issue 4
Combination of Regions
book, January 1980
- Brebbia, C. A.; Walker, S.
- Boundary Element Techniques in Engineering
A spatially and temporally adaptive solution of Richards’ equation
journal, April 2006
- Miller, Cass T.; Abhishek, Chandra; Farthing, Matthew W.
- Advances in Water Resources, Vol. 29, Issue 4
Theory for Source-Responsive and Free-Surface Film Modeling of Unsaturated Flow
journal, May 2010
- Nimmo, John R.
- Vadose Zone Journal, Vol. 9, Issue 2
An Evaluation of the Significance of Permeability Measurements
journal, August 1961
- Warren, J. E.; Skiba, F. F.; Price, H. S.
- Journal of Petroleum Technology, Vol. 13, Issue 08
A framework for classifying and comparing distributed hillslope and catchment hydrologic models: DISTRIBUTED MODEL REVIEW
journal, May 2007
- Kampf, Stephanie K.; Burges, Stephen J.
- Water Resources Research, Vol. 43, Issue 5
Solute transport in heterogeneous porous formations
journal, August 1984
- Dagan, Gedeon
- Journal of Fluid Mechanics, Vol. 145, Issue -1
A Comparison of Numerical Simulation Models For One-Dimensional Infiltration
journal, March 1977
- Haverkamp, R.; Vauclin, M.; Touma, J.
- Soil Science Society of America Journal, Vol. 41, Issue 2
Root functioning modifies seasonal climate
journal, November 2005
- Lee, J. -E.; Oliveira, R. S.; Dawson, T. E.
- Proceedings of the National Academy of Sciences, Vol. 102, Issue 49
Stochastic modeling of unsaturated flow in heterogeneous soils with water uptake by plant roots: The Parallel Columns Model
journal, March 1993
- Rubin, Yoram; Or, Dani
- Water Resources Research, Vol. 29, Issue 3
Estimating hysteresis in the soil water retention function from cone permeameter experiments
journal, May 1999
- Šimůnek, Jiří; Kodešová, Radka; Gribb, Molly M.
- Water Resources Research, Vol. 35, Issue 5
Stochastic Hydrogeology: What Professionals Really Need?
journal, September 2007
- Renard, Philippe
- Ground Water, Vol. 45, Issue 5
Continuous Flow Method for Rapid Measurement of Soil Hydraulic Properties: I. Experimental Considerations
journal, November 2002
- Butters, G. L.; Duchateau, P.
- Vadose Zone Journal, Vol. 1, Issue 2
Spatial variability and uncertainty in groundwater flow parameters: A geostatistical approach
journal, April 1979
- Delhomme, J. P.
- Water Resources Research, Vol. 15, Issue 2
Efficient numerical methods for infiltration using Richards' equation
journal, February 1990
- Ross, P. J.
- Water Resources Research, Vol. 26, Issue 2
Stochastic hydrogeology ? challenges and misconceptions
journal, August 2004
- Rubin, Y.
- Stochastic Environmental Research and Risk Assessment, Vol. 18, Issue 4
A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media
journal, February 1993
- Gerke, H. H.; van Genuchten, M. T.
- Water Resources Research, Vol. 29, Issue 2
Estimating unsaturated soil hydraulic properties from laboratory tension disc infiltrometer experiments
journal, October 1999
- Šimůnek, Jiří; Wendroth, Ole; van Genuchten, Martinus T.
- Water Resources Research, Vol. 35, Issue 10
River flow forecasting through conceptual models part I — A discussion of principles
journal, April 1970
- Nash, J. E.; Sutcliffe, J. V.
- Journal of Hydrology, Vol. 10, Issue 3
Finite element methods for modeling water flow in variably saturated porous media: Numerical oscillation and mass-distributed schemes
journal, June 1996
- Pan, Lehua; Warrick, A. W.; Wierenga, Peter J.
- Water Resources Research, Vol. 32, Issue 6
Infiltration Rate of Slot Mulches: Measurement and Numerical Simulation
journal, September 1984
- Redinger, G. J.; Campbell, G. S.; Saxton, K. E.
- Soil Science Society of America Journal, Vol. 48, Issue 5
A numerical approach to calculating soil wetness and evapotranspiration over large grid areas
journal, January 2007
- Sellers, P. J.; Fennessy, M. J.; Dickinson, R. E.
- Journal of Geophysical Research, Vol. 112, Issue D18
Stochastic Analysis of Unsaturated Flow in Heterogeneous Soils: 1. Statistically Isotropic Media
journal, April 1985
- Yeh, T. -C. Jim; Gelhar, Lynn W.; Gutjahr, Allan L.
- Water Resources Research, Vol. 21, Issue 4
An evaluation of temporally adaptive transformation approaches for solving Richards' equation
journal, June 1999
- Williams, Glenn A.; Miller, Cass T.
- Advances in Water Resources, Vol. 22, Issue 8
A Statistical Approach to the Interstitial Heterogeneity of Sand Reservoirs
journal, December 1944
- Law, Jan
- Transactions of the AIME, Vol. 155, Issue 01
A mass-conservative switching algorithm for modeling fluid flow in variably saturated porous media
journal, February 2011
- Sadegh Zadeh, Kouroush
- Journal of Computational Physics, Vol. 230, Issue 3
A numerical model of a saturated-unsaturated porous flow system
journal, January 1988
- Pokrajac, Dubravka
- Water Resources Management, Vol. 2, Issue 3
A new model for predicting the hydraulic conductivity of unsaturated porous media
journal, June 1976
- Mualem, Yechezkel
- Water Resources Research, Vol. 12, Issue 3
Hydraulic Properties of a Clay Loam Soil and the Field Measurement of Water Uptake by Roots: III. Comparison of Field and Laboratory Data on Retention and of Measured and Calculated Conductivities
journal, May 1968
- Brust, K. J.; van Bavel, C. H. M.; Stirk, G. B.
- Soil Science Society of America Journal, Vol. 32, Issue 3
Review and comparison of models for describing non-equilibrium and preferential flow and transport in the vadose zone
journal, March 2003
- Šimůnek, Jirka; Jarvis, Nick J.; van Genuchten, M. Th.
- Journal of Hydrology, Vol. 272, Issue 1-4
Effective hydraulic conductivities of transient unsaturated flow in stratified soils
journal, January 1987
- Mantoglou, Aristotelis; Gelhar, Lynn W.
- Water Resources Research, Vol. 23, Issue 1
A bottom-up control on fresh-bedrock topography under landscapes
journal, April 2014
- Rempe, D. M.; Dietrich, W. E.
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 18
Parameterization improvements and functional and structural advances in Version 4 of the Community Land Model
journal, January 2011
- Lawrence, David M.; Oleson, Keith W.; Flanner, Mark G.
- Journal of Advances in Modeling Earth Systems, Vol. 3, Issue 3
Species differences in the seasonality of evergreen tree transpiration in a Mediterranean climate: Analysis of multiyear, half-hourly sap flow observations
journal, March 2014
- Link, Percy; Simonin, Kevin; Maness, Holly
- Water Resources Research, Vol. 50, Issue 3
A Method for the Spatial Discretization of Parabolic Equations in One Space Variable
journal, January 1990
- Skeel, Robert D.; Berzins, Martin
- SIAM Journal on Scientific and Statistical Computing, Vol. 11, Issue 1
Capillary Conduction of Liquids Through Porous Mediums
journal, November 1931
- Richards, L. A.
- Physics, Vol. 1, Issue 5
Robust solution of Richards' equation for nonuniform porous media
journal, October 1998
- Miller, Cass T.; Williams, Glenn A.; Kelley, C. T.
- Water Resources Research, Vol. 34, Issue 10
Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines
journal, February 1997
- Tocci, Michael D.; Kelley, C. T.; Miller, Cass T.
- Advances in Water Resources, Vol. 20, Issue 1
Empirical equations for some soil hydraulic properties
journal, August 1978
- Clapp, Roger B.; Hornberger, George M.
- Water Resources Research, Vol. 14, Issue 4
Development of a simple groundwater model for use in climate models and evaluation with Gravity Recovery and Climate Experiment data
journal, January 2007
- Niu, Guo-Yue; Yang, Zong-Liang; Dickinson, Robert E.
- Journal of Geophysical Research, Vol. 112, Issue D7
Transient field problems: Two-dimensional and three-dimensional analysis by isoparametric finite elements
journal, January 1970
- Zienkiewicz, O. C.; Parekh, C. J.
- International Journal for Numerical Methods in Engineering, Vol. 2, Issue 1