DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography

Journal Article · · Hydrology and Earth System Sciences (Online)

The application of a technique from quantum dynamics to the governing equation for hydraulic head leads to a trajectory-based solution that is valid for a general porous medium. The semi-analytic expressions for propagation path and velocity of a change in hydraulic head form the basis of a travel-time tomographic imaging algorithm. An application of the imaging algorithm to synthetic arrival times reveals that a cross-well inversion based upon the extended trajectories correctly reproduces the magnitude of a reference model, improving upon an existing asymptotic approach. An inversion of hydraulic head arrival times from cross-well slug tests at the Widen field site in northern Switzerland captures a general decrease in permeability with depth, which is in agreement with previous studies, but also indicates the presence of a high-permeability feature in the upper portion of the cross-well plane.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1580971
Journal Information:
Hydrology and Earth System Sciences (Online), Vol. 23, Issue 11; ISSN 1607-7938
Publisher:
European Geosciences Union (EGU)Copyright Statement
Country of Publication:
United States
Language:
English

References (99)

A note on the oscillating flow method for measuring rock permeability journal February 2006
The emergence of hydrogeophysics for improved understanding of subsurface processes over multiple scales: The Emergence of Hydrogeophysics journal June 2015
Determination of hydrogeological parameters using sinusoidal pressure tests: A theoretical appraisal journal June 1981
Sensitivity and resolution of tomographic pumping tests in an alluvial aquifer: SENSITIVITY AND RESOLUTION OF TOMOGRAPHIC PUMPING TESTS journal February 2009
Steady shape analysis of tomographic pumping tests for characterization of aquifer heterogeneities: STEADY SHAPE HYDRAULIC TOMOGRAPHY journal December 2002
A field assessment of the value of steady shape hydraulic tomography for characterization of aquifer heterogeneities: A FIELD ASSESSMENT OF HYDRAULIC TOMOGRAPHY journal May 2007
A travel time based hydraulic tomographic approach: TRAVEL TIME BASED HYDRAULIC TOMOGRAPHY journal December 2003
An inversion strategy for hydraulic tomography: Coupling travel time and amplitude inversion journal October 2007
Cross-well slug interference tests: An effective characterization method for resolving aquifer heterogeneity journal April 2010
A field assessment of high-resolution aquifer characterization based on hydraulic travel time and hydraulic attenuation tomography: HYDRAULIC TRAVEL TIME AND HYDRAULIC ATTENUATION journal March 2011
Derivation of site-specific relationships between hydraulic parameters and p -wave velocities based on hydraulic and seismic tomography: HYDRAULIC AND SEISMIC TOMOGRAPHY journal March 2012
Rapid field application of hydraulic tomography for resolving aquifer heterogeneity in unconsolidated sediments: RAPID FIELD APPLICATION OF HYDRAULIC TOMOGRAPHY journal April 2013
Pumping tests in networks of multilevel sampling wells: Motivation and methodology journal November 1999
Analysis of Slug Tests in Formations of High Hydraulic Conductivity journal September 2003
A Potential-Based Inversion of Unconfined Steady-State Hydraulic Tomography journal March 2009
Hydraulic conductivity imaging from 3-D transient hydraulic tomography at several pumping/observation densities: Hydraulic Tomography Imaging Resolution journal November 2013
Aquifer heterogeneity characterization with oscillatory pumping: Sensitivity analysis and imaging potential: OSCILLATORY HYDRAULIC IMAGING journal September 2013
A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides journal September 1990
A Comparison of Travel-Time and Amplitude Matching for Field-Scale Production-Data Integration: Sensitivity, Nonlinearity, and Practical Implications journal March 2005
A Ray Method for the Asymptotic Solution of the Diffusion Equation journal January 1967
3D crosshole ERT for aquifer characterization and monitoring of infiltrating river water journal March 2011
Estimating traveltimes and groundwater flow patterns using 3D time-lapse crosshole ERT imaging of electrical resistivity fluctuations induced by infiltrating river water journal July 2012
Methods of Mathematical Physics journal November 1962
Combined interpretation of radar, hydraulic, and tracer data from a fractured-rock aquifer near Mirror Lake, New Hampshire, USA journal September 2004
Zonation for 3D aquifer characterization based on joint inversions of multimethod crosshole geophysical data journal November 2010
An interactive Bayesian geostatistical inverse protocol for hydraulic tomography: BAYESIAN HYDRAULIC TOMOGRAPHY journal July 2008
A Comprehensive Reservoir Simulator for Unconventional Reservoirs That Is Based on the Fast Marching Method and Diffusive Time of Flight journal December 2016
Quantum trajectory dynamics in imaginary time with the momentum-dependent quantum potential journal January 2010
Multidimensional Quantum Trajectory Dynamics in Imaginary Time with Approximate Quantum Potential journal September 2010
Efficient quantum trajectory representation of wavefunctions evolving in imaginary time journal July 2011
Bohmian mechanics with complex action: A new trajectory-based formulation of quantum mechanics journal December 2006
Identification of the permeability distribution in soil by hydraulic tomography journal April 1995
Quantum Dynamics with Gaussian Bases Defined by the Quantum Trajectories journal January 2016
Rapid inverse modeling of pressure interference tests using trajectory-based traveltime and amplitude sensitivities: RAPID INVERSE MODELING OF PRESSURE INTERFERENCE TESTS journal March 2006
Field Determination of the Three-Dimensional Hydraulic Conductivity Tensor of Anisotropic Media: 2. Methodology and Application to Fractured Rocks journal November 1985
Robustness of joint interpretation of sequential pumping tests: Numerical and field experiments: SEQUENTIAL PUMPING TESTS journal October 2011
Hydraulic tomography analog outcrop study: Combining travel time and steady shape inversion journal October 2011
Coupled seismic and tracer test inversion for aquifer property characterization journal July 1994
Inferring the relation between seismic slowness and hydraulic conductivity in heterogeneous aquifers journal August 2000
Steady-state hydraulic tomography in a laboratory aquifer with deterministic heterogeneity: Multi-method and multiscale validation of hydraulic conductivity tomograms journal August 2007
Practical Issues in Imaging Hydraulic Conductivity through Hydraulic Tomography journal October 2007
Permeability Distribution From Field Pressure Data journal December 1965
Prediction of solute transport in a heterogeneous aquifer utilizing hydraulic conductivity and specific storage tomograms journal July 2015
Smart pilot points using reversible-jump Markov-chain Monte Carlo: SMART PILOT POINTS journal May 2016
A multidisciplinary fractured rock characterization study at Raymond field site, Raymond, CA journal September 2000
Full-waveform inversion of cross-hole ground-penetrating radar data to characterize a gravel aquifer close to the Thur River, Switzerland journal August 2010
Tomographic Reservoir Imaging with DNA-Labeled Silica Nanotracers: The First Field Validation journal November 2018
Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements during transient flow in the vadose zone journal June 2004
Determination of Reservoir Properties from Sinusoidal and Multirate Flow Tests in One or More Wells journal December 1972
A Streamline Approach for Integrating Transient Pressure Data Into High-Resolution Reservoir Models journal September 2001
Large-scale hydraulic tomography and joint inversion of head and tracer data using the Principal Component Geostatistical Approach (PCGA) journal July 2014
Geostatistical inverse modeling of transient pumping tests using temporal moments of drawdown: INVERSE MODELING OF TRANSIENT PUMPING TESTS journal August 2005
Bohm's formulation in imaginary time: estimation of energy eigenvalues journal March 2005
Geostatistical reduced-order models in underdetermined inverse problems: Groms in Underdetermined Inverse Problems journal October 2013
Structure-coupled joint inversion of geophysical and hydrological data journal May 2013
In situ measurement of velocity-stress sensitivity using crosswell continuous active-source seismic monitoring journal August 2017
Level Set Methods and Dynamic Implicit Surfaces book January 2003
LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares journal March 1982
Using borehole geophysics and cross-borehole flow testing to define hydraulic connections between fracture zones in bedrock aquifers journal October 1993
Resolution analysis of tomographic slug test head data: Two‐dimensional radial case journal April 2015
Comparison of slug and pumping tests for hydraulic tomography experiments: a practical perspective journal August 2016
Finite difference computation of traveltimes in very contrasted velocity models: a massively parallel approach and its associated tools journal April 1991
TOUGH2 User's Guide Version 2 report November 1999
Estimating aquifer hydraulic properties using sinusoidal pumping at the Savannah River site, South Carolina, USA journal August 2003
Periodic pumping tests journal October 2006
Mapping permeability in heterogeneous aquifers using hydrologic and seismic data journal July 1992
Fluid pressure arrival-time tomography: Estimation and assessment in the presence of inequality constraints with an application to production at the Krechba field, Algeria journal November 2010
Integration of hydrological and geophysical data beyond the local scale: Application of Bayesian sequential simulation to field data from the Saint-Lambert-de-Lauzon site, Québec, Canada journal June 2014
Hydraulic conductivity field characterization from the joint inversion of hydraulic heads and self-potential data journal April 2014
A temporal sampling strategy for hydraulic tomography analysis: A Temporal Sampling for Transient Hydraulic Tomography journal July 2013
Estimation of flow properties using surface deformation and head data: A trajectory-based approach: USING DEFORMATION AND HEAD DATA journal October 2004
Zeroth-order inversion of transient pressure observations journal February 2008
An Extended Trajectory Mechanics Approach for Calculating the Path of a Pressure Transient: Derivation and Illustration: EXTENDED TRAJECTORY-BASED MODELING journal April 2018
Inversion of pressure observations: an integral formulation journal November 2001
Broad band trajectory mechanics journal October 2018
Resolution and uncertainty in hydrologic characterization journal March 1997
Estimation of reservoir properties using transient pressure data: An asymptotic approach journal December 2000
A coupled inversion of pressure and surface displacement journal December 2001
Calculating Trajectories Associated With Solute Transport in a Heterogeneous Medium: TRAJECTORIES AND SOLUTE TRANSPORT journal September 2018
Asymptotic Theory For Diffusive Electromagnetic Imaging journal December 1994
Hydraulic tomography: Development of a new aquifer test method journal August 2000
Fusion of hydrologic and geophysical tomographic surveys journal June 2008
Hydraulic tomography using temporal moments of drawdown recovery data: A laboratory sandbox study: LAB VALIDATION OF HYDRAULIC TOMOGRAPHY journal January 2009
From Streamlines to Fast Marching: Rapid Simulation and Performance Assessment of Shale-Gas Reservoirs by Use of Diffusive Time of Flight as a Spatial Coordinate journal October 2016
Analysis of hydraulic tomography using temporal moments of drawdown recovery data: HYDRAULIC TOMOGRAPHY journal February 2006
Full-waveform inversion of crosshole ground penetrating radar data to characterize a gravel aquifer close to the Thur River, Switzerland
  • Klotzsche, A.; van der Kruk, J.; Meles, G. A.
  • 2010 13th International Conference on Ground Penetrating Radar (GPR 2010), Proceedings of the XIII Internarional Conference on Ground Penetrating Radar https://doi.org/10.1109/icgpr.2010.5550238
conference June 2010
Methods of mathematical physics journal January 1992
Level Set Methods and Dynamic Implicit Surfaces journal May 2004
Widen Field Test Pressure Data - P02 Experiment dataset January 2018
Widen Field Test Pressure Data - P02 Experiment dataset January 2018
Structure-coupled joint inversion of geophysical and hydrological data text January 2017
Field validation of thermal tracer tomography for reconstruction of aquifer heterogeneity: VALIDATION OF THERMAL TRACER TOMOGRAPHY journal June 2017
Integration of hydrological and geophysical data beyond the local scale: Application of Bayesian sequential simulation to field data from the Saint-Lambert-de-Lauzon site, Québec, Canada journal June 2014
Quantum Dynamics with Gaussian Bases Defined by the Quantum Trajectories journal January 2016
Multidimensional Quantum Trajectory Dynamics in Imaginary Time with Approximate Quantum Potential journal September 2010
Bohmian mechanics with complex action: A new trajectory-based formulation of quantum mechanics journal December 2006
Quantum trajectory dynamics in imaginary time with the momentum-dependent quantum potential journal January 2010
Efficient quantum trajectory representation of wavefunctions evolving in imaginary time journal July 2011
Forward and back journal May 1981

Related Subjects