Structure-coupled joint inversion of geophysical and hydrological data

ABSTRACTIn groundwater hydrology, geophysical imaging holds considerable promise for improving parameter estimation, due to the generally high resolution and spatial coverage of geophysical data. However, inversion of geophysical data alone cannot unveil the distribution of hydraulic conductivity. Jointly inverting geophysical and hydrological data allows us to benefit from the advantages of geophysical imaging and, at the same time, recover the hydrological parameters of interest. We have applied a coupling strategy between geophysical and hydrological models that is based on structural similarity constraints. Model combinations, for which the spatial gradients of the inferred parameter fields are not aligned in parallel, are penalized in the inversion. This structural coupling does not require introducing a potentially weak, unknown, and nonstationary petrophysical relation to link the models. The method was first tested on synthetic data sets and then applied to two combinations of geophysical/hydrolog...

[1]  S. L. Fontes,et al.  Robust geophysical integration through structure-coupled joint inversion and multispectral fusion of seismic reflection, magnetotelluric, magnetic, and gravity images: Example from Santos Basin, offshore Brazil , 2012 .

[2]  E. Haber,et al.  Joint inversion: a structural approach , 1997 .

[3]  J. Virieux,et al.  Asymptotic theory for diffusive electromagnetic imaging , 1994 .

[4]  Stefan Finsterle,et al.  Estimation of field‐scale soil hydraulic and dielectric parameters through joint inversion of GPR and hydrological data , 2005 .

[5]  Ari Tryggvason,et al.  Three-dimensional imaging of the P- and S-wave velocity structure and earthquake locations beneath Southwest Iceland , 2002 .

[6]  Colin Farquharson,et al.  Constructing piecewise-constant models in multidimensional minimum-structure inversions , 2008 .

[7]  Stefan Finsterle,et al.  On parameterization of the inverse problem for estimating aquifer properties using tracer data , 2012 .

[8]  P. Kitanidis,et al.  Characterization of mixing and dilution in heterogeneous aquifers by means of local temporal moments , 2000 .

[9]  Peter Dietrich,et al.  An inversion strategy for hydraulic tomography: Coupling travel time and amplitude inversion , 2007 .

[10]  S. C. Young,et al.  Borehole flowmeters: field application and data analysis , 1994 .

[11]  Frederick L. Paillet,et al.  A Field Technique for Estimating Aquifer Parameters Using Flow Log Data , 2000 .

[12]  M. Meju,et al.  Joint two-dimensional DC resistivity and seismic travel time inversion with cross-gradients constraints , 2004 .

[13]  S. Greenhalgh,et al.  Zonation for 3D aquifer characterization based on joint inversions of multimethod crosshole geophysical data , 2010 .

[14]  Jens Tronicke,et al.  Hydrogeophysical Case Studies at the Local Scale: The Saturated Zone , 2005 .

[15]  Max A. Meju,et al.  Structure‐coupled multiphysics imaging in geophysical sciences , 2011 .

[16]  Steven R. Pride,et al.  Relationships between Seismic and Hydrological Properties , 2005 .

[17]  Akhil Datta-Gupta,et al.  A Streamline Approach for Integrating Transient Pressure Data into High Resolution Reservoir Models , 2000 .

[18]  S. Gorelick,et al.  Estimating lithologic and transport properties in three dimensions using seismic and tracer data , 1996 .

[19]  Peter K. Kitanidis,et al.  Sensitivity of temporal moments calculated by the adjoint-state method and joint inversing of head and tracer data , 2000 .

[20]  A. Datta-Gupta,et al.  Rapid inverse modeling of pressure interference tests using trajectory‐based traveltime and amplitude sensitivities , 2006 .

[21]  Andrew Binley,et al.  Applying petrophysical models to radar travel time and electrical resistivity tomograms: Resolution‐dependent limitations , 2005 .

[22]  W. Menke.  Geophysical data analysis : discrete inverse theory , 1984 .

[23]  M. Eppstein,et al.  Efficient three‐dimensional data inversion: Soil characterization and moisture Monitoring from cross‐well ground‐penetrating radar at a Vermont Test Site , 1998 .

[24]  W. Barrash,et al.  Hierarchical geostatistics and multifacies systems: Boise Hydrogeophysical Research Site, Boise, Idaho , 2002 .

[25]  S. Gorelick,et al.  Multiple‐Rate Mass Transfer for Modeling Diffusion and Surface Reactions in Media with Pore‐Scale Heterogeneity , 1995 .

[26]  Peter Dietrich,et al.  A field assessment of high‐resolution aquifer characterization based on hydraulic travel time and hydraulic attenuation tomography , 2011 .

[27]  W. Nowak,et al.  Geostatistical inference of hydraulic conductivity and dispersivities from hydraulic heads and tracer data , 2006 .

[28]  Yoram Rubin,et al.  Forward modeling of ground‐penetrating radar data using digitized outcrop images and multiple scenarios of water saturation , 2001 .

[29]  H. Maurer,et al.  Stochastic regularization: Smoothness or similarity? , 1998 .

[30]  Baptiste Dafflon,et al.  Three‐dimensional stochastic estimation of porosity distribution: Benefits of using ground‐penetrating radar velocity tomograms in simulated‐annealing‐based or Bayesian sequential simulation approaches , 2012 .

[31]  M. Anderson.  Hydrogeologic facies models to delineate large-scale spatial trends in glacial and glaciofluvial sediments , 1989 .

[32]  J. Harris,et al.  Coupled seismic and tracer test inversion for aquifer property characterization , 1993 .

[33]  R. W. Andrews,et al.  Sensitivity Analysis for Steady State Groundwater Flow Using Adjoint Operators , 1985 .

[34]  T. Yeh,et al.  Hydraulic tomography: Development of a new aquifer test method , 2000 .

[35]  M. Leonard,et al.  Comparison of Manual and Automatic Onset Time Picking , 2000 .

[36]  P. N. Sen,et al.  A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads , 1981 .

[37]  Jet-Chau Wen,et al.  Fusion of hydrologic and geophysical tomographic surveys , 2008 .

[38]  Niklas Linde,et al.  Imaging and quantifying salt-tracer transport in a riparian groundwater system by means of 3D ERT monitoring , 2012 .

[39]  Olaf A. Cirpka,et al.  Fully coupled hydrogeophysical inversion of a laboratory salt tracer experiment monitored by electrical resistivity tomography , 2012 .

[40]  William W.-G. Yeh,et al.  Coupled inverse problems in groundwater modeling - 1. Sensitivity analysis and parameter identification. , 1990 .

[41]  W. Nowak.  Geostatistical methods for the identification of flow and transport parameters in the subsurface , 2005 .

[42]  K. Karasaki,et al.  Estimation of reservoir properties using transient pressure data: An asymptotic approach , 2000 .

[43]  Harry Vereecken,et al.  Crosshole GPR full-waveform inversion of waveguides acting as preferential flow paths within aquifer systems , 2012 .

[44]  A. Scheidegger.  General Theory of Dispersion in Porous Media , 1961 .

[45]  A. P. Annan,et al.  Ground-penetrating radar for high-resolution mapping of soil and rock stratigraphy , 1989 .

[46]  Niklas Linde,et al.  3D crosshole ERT for aquifer characterization and monitoring of infiltrating river water , 2011 .

[47]  Samuel Diem,et al.  Räumliche Charakterisierung der hydraulischen Leitfähigkeit in alluvialen Schotter-Grundwasserleitern: Ein Methodenvergleich , 2010 .

[48]  Brian J. Mailloux,et al.  Hydrogeological characterization of the south oyster bacterial transport site using geophysical data , 2001 .

[49]  A. Binley,et al.  Improved hydrogeophysical characterization using joint inversion of cross‐hole electrical resistance and ground‐penetrating radar traveltime data , 2006 .

[50]  S. Hubbard,et al.  Joint inversion of crosshole radar and seismic traveltimes , 2008 .

[51]  Mario Schirmer,et al.  Fluctuations of electrical conductivity as a natural tracer for bank filtration in a losing stream , 2010 .

[52]  Peter Bayer,et al.  Hydraulic tomography analog outcrop study: Combining travel time and steady shape inversion , 2011 .

[53]  N. Linde,et al.  Local earthquake (LE) tomography with joint inversion for P‐ and S‐wave velocities using structural constraints , 2006 .

[54]  R. Parker,et al.  Occam's inversion; a practical algorithm for generating smooth models from electromagnetic sounding data , 1987 .

[55]  A. Roberts,et al.  A framework for 3-D joint inversion of MT, gravity and seismic refraction data , 2011 .

[56]  S. Gorelick,et al.  Saline tracer visualized with three‐dimensional electrical resistivity tomography: Field‐scale spatial moment analysis , 2005 .

[57]  James J. Butler,et al.  Pumping tests in networks of multilevel sampling wells: Motivation and methodology , 1999 .

[58]  J. J. Peterson.  Pre-inversion Corrections and Analysis of Radar Tomographic Data , 2001 .

[59]  Peter Dietrich,et al.  A travel time based hydraulic tomographic approach , 2003 .

[60]  Stefan Finsterle,et al.  Inversion of tracer test data using tomographic constraints , 2006 .

[61]  M. Meju,et al.  Characterization of heterogeneous near‐surface materials by joint 2D inversion of dc resistivity and seismic data , 2003 .

[62]  P. Podvin,et al.  Finite difference computation of traveltimes in very contrasted velocity models: a massively parallel approach and its associated tools , 1991 .

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

[64]  Guido Schneider,et al.  Temporal moments revisited: Why there is no better way for physically based model reduction in time , 2012 .

[65]  Philippe Renard,et al.  Three-dimensional high resolution fluvio-glacial aquifer analog: Part 1: Field study , 2011 .

[66]  J. Butler,et al.  Hydrostratigraphic analysis of the MADE site with full‐resolution GPR and direct‐push hydraulic profiling , 2011 .

[67]  Charles F. Harvey,et al.  Temporal Moment‐Generating Equations: Modeling Transport and Mass Transfer in Heterogeneous Aquifers , 1995 .

[68]  Yoram Rubin,et al.  Mapping permeability in heterogeneous aquifers using hydrologic and seismic data , 1992 .

[69]  Markus Hofer,et al.  Analyzing Bank Filtration by Deconvoluting Time Series of Electric Conductivity , 2007, Ground water.

[70]  Kamini Singha,et al.  Geoelectrical evidence of bicontinuum transport in groundwater , 2007 .

[71]  Y. Rubin,et al.  Hydrogeological parameter estimation using geophysical data: a review of selected techniques , 2000 .

[72]  Niklas Linde,et al.  Estimating traveltimes and groundwater flow patterns using 3D time-lapse crosshole ERT imaging of electrical resistivity fluctuations induced by infiltrating river water , 2012 .

[73]  Michael A. Saunders,et al.  LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares , 1982, TOMS.