Usefulness of flux measurements during hydraulic tomographic survey for mapping hydraulic conductivity distribution in a fractured medium

Using the first-order analysis, we investigate the spatial cross-correlation between hydraulic conductivity variation and specific discharge (flux) as well as its components measured in a borehole under steady-state flow conditions during cross-hole pumping tests in heterogeneous aquifers. These spatial correlation patterns are found to be quite different from that between the hydraulic conductivity variation and the hydraulic head measurement in the same borehole. This finding suggests that a specific discharge measurement carries non-redundant information about the spatial distribution of heterogeneity, even this measurement is collected from the same location where the head measurement is taken. As such, specific discharge observations should be included in the analysis of hydraulic tomography to increase the resolution of estimated aquifer heterogeneity. Using numerical experiments, we demonstrate the effectiveness of the joint interpretation of both hydraulic heads and fluxes for mapping fracture distributions in a hypothetic geologic medium.

[1]  Tian-Chyi J. Yeh,et al.  Characterization of aquifer heterogeneity using transient hydraulic tomography , 2004 .

[2]  Jet-Chau Wen,et al.  A simultaneous successive linear estimator and a guide for hydraulic tomography analysis , 2009 .

[3]  Fred J. Molz,et al.  The Impeller Meter for measuring aquifer permeability variations: Evaluation and comparison with other tests , 1989 .

[4]  Junfeng Zhu,et al.  Laboratory sandbox validation of transient hydraulic tomography , 2007 .

[5]  Tian-Chyi J. Yeh,et al.  Robustness of joint interpretation of sequential pumping tests: Numerical and field experiments , 2011 .

[6]  Wolfgang Nowak,et al.  Parameter Estimation by Ensemble Kalman Filters with Transformed Data , 2010 .

[7]  Yonghong Hao,et al.  A temporal sampling strategy for hydraulic tomography analysis , 2013 .

[8]  Cheng-Haw Lee,et al.  Why Hydraulic Tomography Works? , 2014, Ground water.

[9]  Sanford Ballard,et al.  The In Situ Permeable Flow Sensor: A Ground‐Water Flow Velocity Meter , 1996 .

[10]  Walter A. Illman,et al.  Transient hydraulic tomography in a fractured dolostone: Laboratory rock block experiments , 2012 .

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

[12]  Jet-Chau Wen,et al.  Cross‐correlation analysis and information content of observed heads during pumping in unconfined aquifers , 2013 .

[13]  R. Srivastava,et al.  A three-dimensional numerical model for water flow and transport of chemically reactive solute through porous media under variably saturated conditions , 1992 .

[14]  Junfeng Zhu,et al.  Analysis of tracer tomography using temporal moments of tracer breakthrough curves , 2009 .

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

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

[17]  J. Pujol.  The solution of nonlinear inverse problems and the Levenberg-Marquardt method , 2007 .

[18]  J. Izbicki,et al.  Comparison of velocity‐log data collected using impeller and electromagnetic flowmeters , 2005, Ground water.

[19]  Junfeng Zhu,et al.  Sequential aquifer tests at a well field, Montalto Uffugo Scalo, Italy , 2007 .

[20]  L. Gelhar.  Stochastic Subsurface Hydrology , 1992 .

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

[22]  Randall T. Hanson,et al.  Application of Flowmeter and Depth‐Dependent Water Quality Data for Improved Production Well Construction , 1999, Ground water.

[23]  Alfred E. Hess,et al.  Identifying hydraulically conductive fractures with a slow-velocity borehole flowmeter , 1986 .

[24]  T. Yeh,et al.  Estimation of effective aquifer hydraulic properties from an aquifer test with multi-well observations (Taiwan) , 2010 .

[25]  David L. Alumbaugh,et al.  A geostatistically based inverse model for electrical resistivity surveys and its applications to vadose zone hydrology , 2002 .

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

[27]  Laboratory studies on a new laser Doppler Velocimeter System for horizontal groundwater velocity measurements in a borehole , 1993 .

[28]  Diane Bondehagen.  Measuring Groundwater and contaminant Flux: passive Flux Meter Field Applications and Issues with Alcohol Degradability , 2010 .

[29]  Alberto Guadagnini,et al.  Theoretical analysis and field evidence of reciprocity gaps during interference pumping tests , 2011 .

[30]  Wayne A. Mandell,et al.  Accuracy of Flowmeters Measuring Horizontal Groundwater Flow in an Unconsolidated Aquifer Simulator , 2011 .

[31]  William W.-G. Yeh,et al.  A stochastic inverse solution for transient groundwater flow: Parameter identification and reliability analysis , 1992 .

[32]  Yonghong Hao,et al.  Hydraulic Tomography for Detecting Fracture Zone Connectivity , 2008, Ground water.

[33]  Junfeng Zhu,et al.  Traditional analysis of aquifer tests: Comparing apples to oranges? , 2005 .

[34]  T. Yeh,et al.  Analysis of hydraulic tomography using temporal moments of drawdown recovery data , 2006 .

[35]  Allan L. Gutjahr,et al.  An Iterative Cokriging‐Like Technique for Ground‐Water Flow Modeling , 1995 .

[36]  Jet-Chau Wen,et al.  Necessary conditions for inverse modeling of flow through variably saturated porous media , 2013 .

[37]  T. Yeh,et al.  Stochastic inversion of pneumatic cross-hole tests and barometric pressure fluctuations in heterogeneous unsaturated formations , 2008 .

[38]  Walter A Illman,et al.  Comparison of Approaches for Predicting Solute Transport: Sandbox Experiments , 2012, Ground water.

[39]  T.-C. Jim Yeh,et al.  Stochastic modelling of groundwater flow and solute transport in aquifers , 1992 .

[40]  Dietmar Klotz,et al.  Point dilution methods of investigating ground water flow by means of radioisotopes , 1968 .

[41]  G. A. Bruggeman.  The Reciprocity Principle in Flow Through Heterogeneous Porous Media , 1972 .

[42]  Carl D. Palmer.  Borehole dilution tests in the vicinity of an extraction well , 1993 .

[43]  J. McCarthy,et al.  Field Tracer Tests on the Mobility of Natural Organic Matter in a Sandy Aquifer , 1996 .

[44]  M. Cardiff,et al.  3‐D transient hydraulic tomography in unconfined aquifers with fast drainage response , 2011 .

[45]  T. Yeh,et al.  Sensitivity and moment analyses of head in variably saturated regimes , 1998 .

[46]  Tian-Chyi J. Yeh,et al.  Hydraulic/partitioning tracer tomography for characterization of dense nonaqueous phase liquid source zones , 2007 .

[47]  Junfeng Zhu,et al.  Comparison of aquifer characterization approaches through steady state groundwater model validation: A controlled laboratory sandbox study , 2010 .

[48]  Hiromitsu Saegusa,et al.  Hydraulic tomography in fractured granite: Mizunami Underground Research site, Japan , 2009 .

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

[50]  Georgios P. Tsoflias,et al.  Monitoring pumping test response in a fractured aquifer using ground‐penetrating radar , 2001 .

[51]  S. P. Neuman,et al.  Three‐dimensional numerical inversion of pneumatic cross‐hole tests in unsaturated fractured tuff: 2. Equivalent parameters, high‐resolution stochastic imaging and scale effects , 2001 .

[52]  Harald Klammler,et al.  A direct passive method for measuring water and contaminant fluxes in porous media. , 2004, Journal of Contaminant Hydrology.

[53]  Walter A Illman,et al.  Hydraulic Tomography Offers Improved Imaging of Heterogeneity in Fractured Rocks , 2013, Ground water.

[54]  P. Kitanidis,et al.  Hydraulic conductivity imaging from 3‐D transient hydraulic tomography at several pumping/observation densities , 2013 .

[55]  J. McCarthy,et al.  Analyses of Slug Tests and Hydraulic Conductivity Variations in the Near Field of a Two‐Well Tracer Experiment Site , 1997 .

[56]  Wei Li,et al.  Three‐Dimensional Geostatistical Inversion of Flowmeter and Pumping Test Data , 2008, Ground water.

[57]  D. Benson,et al.  Particle tracking and the diffusion‐reaction equation , 2013 .

[58]  Michael D Annable,et al.  Magnitude and directional measures of water and Cr(VI) fluxes by passive flux meter. , 2006, Environmental science & technology.

[59]  T. Yeh,et al.  Cost-effective hydraulic tomography surveys for predicting flow and transport in heterogeneous aquifers. , 2009, Environmental science & technology.

[60]  Minghui Jin,et al.  AN ITERATIVE STOCHASTIC INVERSE METHOD: CONDITIONAL EFFECTIVE TRANSMISSIVITY AND HYDRAULIC HEAD FIELDS , 1995 .

[61]  Kuolin Hsu,et al.  Uncertainty assessment of hydrologic model states and parameters: Sequential data assimilation using the particle filter , 2005 .

[62]  R. Brauchler,et al.  Derivation of site‐specific relationships between hydraulic parameters and p‐wave velocities based on hydraulic and seismic tomography , 2012 .

[63]  Hubert S. Pearson,et al.  The Electromagnetic Borehole Flowmeter: Description and Application , 1995 .

[64]  Fred J. Molz,et al.  Laboratory Investigation and Analysis of a Ground‐Water Flowmeter , 1985 .

[65]  Shuyun Liu,et al.  Effectiveness of hydraulic tomography: Sandbox experiments , 2001 .