Using time‐lapse gravity for groundwater model calibration: An application to alluvial aquifer storage

[1] The estimation of hydrological model parameters by calibration to field data is a critical step in the modeling process. However, calibration often fails because of parameter correlation. Here it is shown that time-lapse gravity data can be combined with hydraulic head data in a coupled hydrogeophysical inversion to decrease parameter correlation in groundwater models. This is demonstrated for a model of riverbank infiltration where combined inversion successfully constrains hydraulic conductivity and specific yield in both an analytical and a numerical groundwater model. A sensitivity study shows that time-lapse gravity data are especially useful to constrain specific yield. Furthermore, we demonstrate that evapotranspiration, and riverbed conductance are better constrained by coupled inversion to gravity and head data than to head data alone. When estimating the four parameters simultaneously, the six correlation coefficients were reduced from unity when only head data were employed to significantly lower values when gravity and head data were combined. Our analysis reveals that the estimated parameter values are not very sensitive to the choice of weighting between head and gravity data over a large interval of relative weights.

[1]  B. Damiata,et al.  Simulated gravitational response to hydraulic testing of unconfined aquifers , 2006 .

[2]  A. P. Annan,et al.  Electromagnetic determination of soil water content: Measurements in coaxial transmission lines , 1980 .

[3]  Benjamin F. Schwartz,et al.  Quantifying field-scale soil moisture using electrical resistivity imaging , 2008 .

[4]  W. Kinzelbach,et al.  Estimation of the evapotranspiration rate from diurnal groundwater level fluctuations in the Okavango Delta, Botswana , 2004 .

[5]  Müller,et al.  GPR study of pore water content and salinity in sand , 2000 .

[6]  B. Cappelaere,et al.  Local and global hydrological contributions to time-variable gravity in Southwest Niger , 2011 .

[7]  M. Caputo Tables for the Deformation of an Earth Model by Surface Mass Distributions , 1962 .

[8]  G. Richard,et al.  Electrical resistivity survey in soil science: a review . , 2005 .

[9]  Arlen W. Harbaugh,et al.  User's documentation for MODFLOW-96, an update to the U.S. Geological Survey modular finite-difference ground-water flow model , 1996 .

[10]  P. Troch,et al.  Evaluating catchment‐scale hydrological modeling by means of terrestrial gravity observations , 2008 .

[11]  O. Andersen,et al.  Measuring gravity change caused by water storage variations: Performance assessment under controlled conditions , 2011 .

[12]  L. Longuevergne,et al.  Local hydrology, the Global Geodynamics Project and CHAMP/GRACE perspective: some case studies , 2004 .

[13]  R. Warburton,et al.  The influence of barometric‐pressure variations on gravity , 1977 .

[14]  J. Chéry,et al.  Time-lapse surface to depth gravity measurements on a karst system reveal the dominant role of the epikarst as a water storage entity , 2009 .

[15]  T. Klügel,et al.  Simulating the influence of water storage changes on the superconducting gravimeter of the Geodetic Observatory Wettzell, Germany , 2008 .

[16]  Ty P. A. Ferré,et al.  Assessing the likely value of gravity and drawdown measurements to constrain estimates of hydraulic conductivity and specific yield during unconfined aquifer testing , 2007 .

[17]  R. J. Tayler,et al.  New Computations of the Tide‐generating Potential , 2007 .

[18]  H. Savenije,et al.  Dynamics of floodplain-island groundwater flow in the Okavango Delta, Botswana , 2006 .

[19]  D. Pool,et al.  Measurements of Aquifer‐Storage Change and Specific Yield Using Gravity Surveys , 1995 .

[20]  Alberto Villa,et al.  Monitoring the hydrologic behaviour of a mountain slope via time-lapse electrical resistivity tomography , 2009 .

[21]  E. Poeter,et al.  Inverse Models: A Necessary Next Step in Ground‐Water Modeling , 1997 .

[22]  Johan Alexander Huisman,et al.  Measuring soil water content with ground penetrating radar , 2003 .

[23]  J. Chéry,et al.  Absolute gravity monitoring of water storage variation in a karst aquifer on the larzac plateau (Southern France) , 2008 .

[24]  A. C. Hinnell,et al.  Improved extraction of hydrologic information from geophysical data through coupled hydrogeophysical inversion , 2010 .

[25]  Dennis L. Harry,et al.  Estimating specific yield and storage change in an unconfined aquifer using temporal gravity surveys , 2009 .

[26]  A. P. Annan,et al.  Measuring Soil Water Content with Ground Penetrating Radar: A Review , 2003 .

[27]  P. Wolski,et al.  Water balance and infiltration in a seasonal floodplain in the Okavango Delta, Botswana , 2006, Wetlands.

[28]  G. E. Archie The electrical resistivity log as an aid in determining some reservoir characteristics , 1942 .

[29]  R. Allis,et al.  Techniques, analysis, and noise in a Salt Lake Valley 4D gravity experiment , 2008 .

[30]  A. Sato,et al.  Three‐dimensional spatial and temporal monitoring of soil water content using electrical resistivity tomography , 2001 .

[31]  T. Hansen,et al.  Identifying Unsaturated Hydraulic Parameters Using an Integrated Data Fusion Approach on Cross‐Borehole Geophysical Data , 2006 .

[32]  S. Finsterle,et al.  Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements , 2004 .

[33]  Andrew Binley,et al.  Monitoring Unsaturated Flow and Transport Using Cross‐Borehole Geophysical Methods , 2008 .

[34]  S. Phillips,et al.  Determination of specific yield and water-table changes using temporal microgravity surveys collected during the second injection, storage, and recovery test at Lancaster, Antelope Valley, California, November 1996 through April 1997 , 2003 .

[35]  O. Andersen,et al.  Calculation of the temporal gravity variation from spatially variable water storage change in soils and aquifers , 2009 .

[36]  Robert Supper,et al.  Geoelectrical imaging of groundwater salinization in the Okavango Delta, Botswana , 2006 .

[37]  Dale F. Rucker,et al.  Parameter estimation for soil hydraulic properties using zero-offset borehole radar: Analytical method , 2004 .

[38]  H. Vereecken,et al.  Coupled hydrogeophysical parameter estimation using a sequential Bayesian approach , 2009 .

[39]  P. Krause,et al.  The impact of soil moisture changes on gravity residuals obtained with a superconducting gravimeter , 2009 .

[40]  Yaoguo Li,et al.  Time-lapse gravity monitoring: A systematic 4D approach with application to aquifer storage and recovery , 2008 .

[41]  Peter Bauer-Gottwein,et al.  Regional review: the hydrology of the Okavango Delta, Botswana—processes, data and modelling , 2009 .

[42]  D. E. Cartwright,et al.  Corrected Tables of Tidal Harmonics , 1973 .

[43]  Henning Prommer,et al.  A field‐scale reactive transport model for U(VI) migration influenced by coupled multirate mass transfer and surface complexation reactions , 2010 .

[44]  Johan Alexander Huisman,et al.  Critical Steps for the Continuing Advancement of Hydrogeophysics , 2009 .

[45]  P. Krause,et al.  Evaluating local hydrological modelling by temporal gravity observations and a gravimetric three‐dimensional model , 2010 .

[46]  Rosemary Knight,et al.  Ground Penetrating Radar for Environmental Applications , 2001 .

[47]  W. Kinzelbach,et al.  Coupled flow and salinity transport modelling in semi-arid environments: The Shashe River Valley, Botswana , 2006 .

[48]  R. Reedy,et al.  Soil water content monitoring using electromagnetic induction , 2003 .

[49]  J. Lemoine,et al.  The GHYRAF (Gravity and Hydrology in Africa) experiment: Description and first results , 2009 .

[50]  B. Nicoullaud,et al.  Spatial and temporal monitoring of soil water content with an irrigated corn crop cover using surface electrical resistivity tomography , 2003 .

[51]  P. Bauer‐Gottwein,et al.  Hydrogeophysical exploration of three-dimensional salinity anomalies with the time-domain electromagnetic method (TDEM) , 2010 .

[52]  David S. Chapman,et al.  Monitoring aquifer recharge using repeated high-precision gravity measurements: A pilot study in South Weber, Utah , 2008 .

[53]  Sébastien Merlet,et al.  Micro-gravity investigations for the LNE watt balance project , 2008 .