An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography
Abstract
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.
- Authors:
-
[1];
[2];
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Federal Inst. of Technology, Zurich (Switzerland)
- AF-Consult Switzerland Ltd, Baden (Switzerland)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1580971
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Hydrology and Earth System Sciences (Online)
- Additional Journal Information:
- Journal Name: Hydrology and Earth System Sciences (Online); Journal Volume: 23; Journal Issue: 11; Journal ID: ISSN 1607-7938
- Publisher:
- European Geosciences Union (EGU)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES
Citation Formats
Vasco, Donald W., Doetsch, Joseph, and Brauchler, Ralf. An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography. United States: N. p., 2019.
Web. doi:10.5194/hess-23-4541-2019.
Vasco, Donald W., Doetsch, Joseph, & Brauchler, Ralf. An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography. United States. https://doi.org/10.5194/hess-23-4541-2019
Vasco, Donald W., Doetsch, Joseph, and Brauchler, Ralf. Thu .
"An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography". United States. https://doi.org/10.5194/hess-23-4541-2019. https://www.osti.gov/servlets/purl/1580971.
@article{osti_1580971,
title = {An extended trajectory-mechanics approach for calculating the path of a pressure transient: travel-time tomography},
author = {Vasco, Donald W. and Doetsch, Joseph and Brauchler, Ralf},
abstractNote = {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.},
doi = {10.5194/hess-23-4541-2019},
journal = {Hydrology and Earth System Sciences (Online)},
number = 11,
volume = 23,
place = {United States},
year = {Thu Nov 07 00:00:00 EST 2019},
month = {Thu Nov 07 00:00:00 EST 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 4 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
A note on the oscillating flow method for measuring rock permeability
journal, February 2006
- Bernabé, Y.; Mok, U.; Evans, B.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 43, Issue 2
The emergence of hydrogeophysics for improved understanding of subsurface processes over multiple scales: The Emergence of Hydrogeophysics
journal, June 2015
- Binley, Andrew; Hubbard, Susan S.; Huisman, Johan A.
- Water Resources Research, Vol. 51, Issue 6
Determination of hydrogeological parameters using sinusoidal pressure tests: A theoretical appraisal
journal, June 1981
- Black, J. H.; Kipp, K. L.
- Water Resources Research, Vol. 17, Issue 3
Sensitivity and resolution of tomographic pumping tests in an alluvial aquifer: SENSITIVITY AND RESOLUTION OF TOMOGRAPHIC PUMPING TESTS
journal, February 2009
- Bohling, Geoffrey C.
- Water Resources Research, Vol. 45, Issue 2
Steady shape analysis of tomographic pumping tests for characterization of aquifer heterogeneities: STEADY SHAPE HYDRAULIC TOMOGRAPHY
journal, December 2002
- Bohling, Geoffrey C.; Zhan, Xiaoyong; Butler, James J.
- Water Resources Research, Vol. 38, Issue 12
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
- Bohling, Geoffrey C.; Butler, James J.; Zhan, Xiaoyong
- Water Resources Research, Vol. 43, Issue 5
A travel time based hydraulic tomographic approach: TRAVEL TIME BASED HYDRAULIC TOMOGRAPHY
journal, December 2003
- Brauchler, R.; Liedl, R.; Dietrich, P.
- Water Resources Research, Vol. 39, Issue 12
An inversion strategy for hydraulic tomography: Coupling travel time and amplitude inversion
journal, October 2007
- Brauchler, R.; Cheng, J. -T.; Dietrich, P.
- Journal of Hydrology, Vol. 345, Issue 3-4
Cross-well slug interference tests: An effective characterization method for resolving aquifer heterogeneity
journal, April 2010
- Brauchler, R.; Hu, R.; Vogt, T.
- Journal of Hydrology, Vol. 384, Issue 1-2
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
- Brauchler, R.; Hu, R.; Dietrich, P.
- Water Resources Research, Vol. 47, Issue 3
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
- Brauchler, R.; Doetsch, J.; Dietrich, P.
- Water Resources Research, Vol. 48, Issue 3
Rapid field application of hydraulic tomography for resolving aquifer heterogeneity in unconsolidated sediments: RAPID FIELD APPLICATION OF HYDRAULIC TOMOGRAPHY
journal, April 2013
- Brauchler, R.; Hu, R.; Hu, L.
- Water Resources Research, Vol. 49, Issue 4
Pumping tests in networks of multilevel sampling wells: Motivation and methodology
journal, November 1999
- Butler, J. J.; McElwee, C. D.; Bohling, G. C.
- Water Resources Research, Vol. 35, Issue 11
Analysis of Slug Tests in Formations of High Hydraulic Conductivity
journal, September 2003
- Butler, James J.; Garnett, Elizabeth J.; Healey, John M.
- Ground Water, Vol. 41, Issue 5
A Potential-Based Inversion of Unconfined Steady-State Hydraulic Tomography
journal, March 2009
- Cardiff, M.; Barrash, W.; Kitanidis, P. K.
- Ground Water, Vol. 47, Issue 2
Hydraulic conductivity imaging from 3-D transient hydraulic tomography at several pumping/observation densities: Hydraulic Tomography Imaging Resolution
journal, November 2013
- Cardiff, Michael; Barrash, Warren; Kitanidis, Peter K.
- Water Resources Research, Vol. 49, Issue 11
Aquifer heterogeneity characterization with oscillatory pumping: Sensitivity analysis and imaging potential: OSCILLATORY HYDRAULIC IMAGING
journal, September 2013
- Cardiff, M.; Bakhos, T.; Kitanidis, P. K.
- Water Resources Research, Vol. 49, Issue 9
A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
journal, September 1990
- Cash, J. R.; Karp, Alan H.
- ACM Transactions on Mathematical Software, Vol. 16, Issue 3
A Comparison of Travel-Time and Amplitude Matching for Field-Scale Production-Data Integration: Sensitivity, Nonlinearity, and Practical Implications
journal, March 2005
- Cheng, Hao; Datta-Gupta, Akhil; He, Zhong
- SPE Journal, Vol. 10, Issue 01
A Ray Method for the Asymptotic Solution of the Diffusion Equation
journal, January 1967
- Cohen, Jack K.; Lewis, Robert M.
- IMA Journal of Applied Mathematics, Vol. 3, Issue 3
3D crosshole ERT for aquifer characterization and monitoring of infiltrating river water
journal, March 2011
- Coscia, Ilaria; Greenhalgh, Stewart A.; Linde, Niklas
- GEOPHYSICS, Vol. 76, Issue 2
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
- Coscia, Ilaria; Linde, Niklas; Greenhalgh, Stewart
- GEOPHYSICS, Vol. 77, Issue 4
Methods of Mathematical Physics
journal, November 1962
- Courant, R.; Hilbert, D.; Teichmann, T.
- Physics Today, Vol. 15, Issue 11
Combined interpretation of radar, hydraulic, and tracer data from a fractured-rock aquifer near Mirror Lake, New Hampshire, USA
journal, September 2004
- Day-Lewis, Frederick D.; Lane, John W.; Gorelick, Steven M.
- Hydrogeology Journal, Vol. 14, Issue 1-2
Zonation for 3D aquifer characterization based on joint inversions of multimethod crosshole geophysical data
journal, November 2010
- Doetsch, Joseph; Linde, Niklas; Coscia, Ilaria
- GEOPHYSICS, Vol. 75, Issue 6
An interactive Bayesian geostatistical inverse protocol for hydraulic tomography: BAYESIAN HYDRAULIC TOMOGRAPHY
journal, July 2008
- Fienen, Michael N.; Clemo, Tom; Kitanidis, Peter K.
- Water Resources Research, Vol. 44, Issue 12
A Comprehensive Reservoir Simulator for Unconventional Reservoirs That Is Based on the Fast Marching Method and Diffusive Time of Flight
journal, December 2016
- Fujita, Yusuke; Datta-Gupta, Akhil; King, Michael J.
- SPE Journal, Vol. 21, Issue 06
Quantum trajectory dynamics in imaginary time with the momentum-dependent quantum potential
journal, January 2010
- Garashchuk, Sophya
- The Journal of Chemical Physics, Vol. 132, Issue 1
Multidimensional Quantum Trajectory Dynamics in Imaginary Time with Approximate Quantum Potential
journal, September 2010
- Garashchuk, Sophya; Vazhappilly, Tijo
- The Journal of Physical Chemistry C, Vol. 114, Issue 48
Efficient quantum trajectory representation of wavefunctions evolving in imaginary time
journal, July 2011
- Garashchuk, Sophya; Mazzuca, James; Vazhappilly, Tijo
- The Journal of Chemical Physics, Vol. 135, Issue 3
Bohmian mechanics with complex action: A new trajectory-based formulation of quantum mechanics
journal, December 2006
- Goldfarb, Yair; Degani, Ilan; Tannor, David J.
- The Journal of Chemical Physics, Vol. 125, Issue 23
Identification of the permeability distribution in soil by hydraulic tomography
journal, April 1995
- Gottlieb, J.; Dietrich, P.
- Inverse Problems, Vol. 11, Issue 2
Quantum Dynamics with Gaussian Bases Defined by the Quantum Trajectories
journal, January 2016
- Gu, Bing; Garashchuk, Sophya
- The Journal of Physical Chemistry A, Vol. 120, Issue 19
Rapid inverse modeling of pressure interference tests using trajectory-based traveltime and amplitude sensitivities: RAPID INVERSE MODELING OF PRESSURE INTERFERENCE TESTS
journal, March 2006
- He, Zhong; Datta-Gupta, Akhil; Vasco, D. W.
- Water Resources Research, Vol. 42, Issue 3
Field Determination of the Three-Dimensional Hydraulic Conductivity Tensor of Anisotropic Media: 2. Methodology and Application to Fractured Rocks
journal, November 1985
- Hsieh, Paul A.; Neuman, Shlomo P.; Stiles, Gary K.
- Water Resources Research, Vol. 21, Issue 11
Robustness of joint interpretation of sequential pumping tests: Numerical and field experiments: SEQUENTIAL PUMPING TESTS
journal, October 2011
- Huang, Shao-Yang; Wen, Jet-Chau; Yeh, Tian-Chyi J.
- Water Resources Research, Vol. 47, Issue 10
Hydraulic tomography analog outcrop study: Combining travel time and steady shape inversion
journal, October 2011
- Hu, R.; Brauchler, R.; Herold, M.
- Journal of Hydrology, Vol. 409, Issue 1-2
Inferring the relation between seismic slowness and hydraulic conductivity in heterogeneous aquifers
journal, August 2000
- Hyndman, David W.; Harris, Jerry M.; Gorelick, Steven M.
- Water Resources Research, Vol. 36, Issue 8
Steady-state hydraulic tomography in a laboratory aquifer with deterministic heterogeneity: Multi-method and multiscale validation of hydraulic conductivity tomograms
journal, August 2007
- Illman, Walter A.; Liu, Xiaoyi; Craig, Andrew
- Journal of Hydrology, Vol. 341, Issue 3-4
Practical Issues in Imaging Hydraulic Conductivity through Hydraulic Tomography
journal, October 2007
- Illman, Walter A.; Craig, Andrew J.; Liu, Xiaoyi
- Ground Water, Vol. 0, Issue 0
Permeability Distribution From Field Pressure Data
journal, December 1965
- Jacquard, P.
- Society of Petroleum Engineers Journal, Vol. 5, Issue 04
Prediction of solute transport in a heterogeneous aquifer utilizing hydraulic conductivity and specific storage tomograms
journal, July 2015
- Jiménez, S.; Brauchler, R.; Hu, R.
- Water Resources Research, Vol. 51, Issue 7
Smart pilot points using reversible-jump Markov-chain Monte Carlo: SMART PILOT POINTS
journal, May 2016
- Jiménez, S.; Mariethoz, G.; Brauchler, R.
- Water Resources Research, Vol. 52, Issue 5
A multidisciplinary fractured rock characterization study at Raymond field site, Raymond, CA
journal, September 2000
- Karasaki, K.; Freifeld, B.; Cohen, A.
- Journal of Hydrology, Vol. 236, Issue 1-2
Full-waveform inversion of cross-hole ground-penetrating radar data to characterize a gravel aquifer close to the Thur River, Switzerland
journal, August 2010
- Klotzsche, Anja; van der Kruk, Jan; Angelo Meles, Giovanni
- Near Surface Geophysics, Vol. 8, Issue 6
Tomographic Reservoir Imaging with DNA-Labeled Silica Nanotracers: The First Field Validation
journal, November 2018
- Kong, Xiang-Zhao; Deuber, Claudia A.; Kittilä, Anniina
- Environmental Science & Technology, Vol. 52, Issue 23
Estimating flow parameter distributions using ground-penetrating radar and hydrological measurements during transient flow in the vadose zone
journal, June 2004
- Kowalsky, Michael B.; Finsterle, Stefan; Rubin, Yoram
- Advances in Water Resources, Vol. 27, Issue 6
Determination of Reservoir Properties from Sinusoidal and Multirate Flow Tests in One or More Wells
journal, December 1972
- Kuo, C. H.
- Society of Petroleum Engineers Journal, Vol. 12, Issue 06
A Streamline Approach for Integrating Transient Pressure Data Into High-Resolution Reservoir Models
journal, September 2001
- Kulkarni, Kari Nordaas; Datta-Gupta, Akhil; Vasco, D. W.
- SPE Journal, Vol. 6, Issue 03
Large-scale hydraulic tomography and joint inversion of head and tracer data using the Principal Component Geostatistical Approach (PCGA)
journal, July 2014
- Lee, J.; Kitanidis, P. K.
- Water Resources Research, Vol. 50, Issue 7
Geostatistical inverse modeling of transient pumping tests using temporal moments of drawdown: INVERSE MODELING OF TRANSIENT PUMPING TESTS
journal, August 2005
- Li, Wei; Nowak, Wolfgang; Cirpka, Olaf A.
- Water Resources Research, Vol. 41, Issue 8
Bohm's formulation in imaginary time: estimation of energy eigenvalues
journal, March 2005
- Liu, Jian; Makri *, Nancy
- Molecular Physics, Vol. 103, Issue 6-8
Geostatistical reduced-order models in underdetermined inverse problems: Groms in Underdetermined Inverse Problems
journal, October 2013
- Liu, Xiaoyi; Zhou, Quanlin; Birkholzer, Jens
- Water Resources Research, Vol. 49, Issue 10
Structure-coupled joint inversion of geophysical and hydrological data
journal, May 2013
- Lochbühler, Tobias; Doetsch, Joseph; Brauchler, Ralf
- GEOPHYSICS, Vol. 78, Issue 3
In situ measurement of velocity-stress sensitivity using crosswell continuous active-source seismic monitoring
journal, August 2017
- Marchesini, Pierpaolo; Ajo-Franklin, Jonathan B.; Daley, Thomas M.
- GEOPHYSICS, Vol. 82, Issue 5
Level Set Methods and Dynamic Implicit Surfaces
book, January 2003
- Osher, Stanley; Fedkiw, Ronald
- Applied Mathematical Sciences
LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
journal, March 1982
- Paige, Christopher C.; Saunders, Michael A.
- ACM Transactions on Mathematical Software, Vol. 8, Issue 1
Using borehole geophysics and cross-borehole flow testing to define hydraulic connections between fracture zones in bedrock aquifers
journal, October 1993
- Paillet, F. L.
- Journal of Applied Geophysics, Vol. 30, Issue 4
Resolution analysis of tomographic slug test head data: Two‐dimensional radial case
journal, April 2015
- Paradis, Daniel; Gloaguen, Erwan; Lefebvre, René
- Water Resources Research, Vol. 51, Issue 4
Comparison of slug and pumping tests for hydraulic tomography experiments: a practical perspective
journal, August 2016
- Paradis, Daniel; Lefebvre, René; Gloaguen, Erwan
- Environmental Earth Sciences, Vol. 75, Issue 16
Finite difference computation of traveltimes in very contrasted velocity models: a massively parallel approach and its associated tools
journal, April 1991
- Podvin, Pascal; Lecomte, Isabelle
- Geophysical Journal International, Vol. 105, Issue 1
TOUGH2 User's Guide Version 2
report, November 1999
- Pruess, K.; Oldenburg, C.M.; Moridis, G.J.
- LBNL--43134
Estimating aquifer hydraulic properties using sinusoidal pumping at the Savannah River site, South Carolina, USA
journal, August 2003
- Rasmussen, Todd C.; Haborak, Kevin G.; Young, Michael H.
- Hydrogeology Journal, Vol. 11, Issue 4
Periodic pumping tests
journal, October 2006
- Renner, Jörg; Messar, Mareike
- Geophysical Journal International, Vol. 167, Issue 1
Mapping permeability in heterogeneous aquifers using hydrologic and seismic data
journal, July 1992
- Rubin, Yoram; Mavko, Gary; Harris, Jerry
- Water Resources Research, Vol. 28, Issue 7
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
- Rucci, Alessio; Vasco, D. W.; Novali, Fabrizio
- GEOPHYSICS, Vol. 75, Issue 6
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
- Ruggeri, Paolo; Gloaguen, Erwan; Lefebvre, René
- Journal of Hydrology, Vol. 514
Hydraulic conductivity field characterization from the joint inversion of hydraulic heads and self-potential data
journal, April 2014
- Soueid Ahmed, A.; Jardani, A.; Revil, A.
- Water Resources Research, Vol. 50, Issue 4
A temporal sampling strategy for hydraulic tomography analysis: A Temporal Sampling for Transient Hydraulic Tomography
journal, July 2013
- Sun, Ronglin; Yeh, Tian-Chyi Jim; Mao, Deqiang
- Water Resources Research, Vol. 49, Issue 7
Estimation of flow properties using surface deformation and head data: A trajectory-based approach: USING DEFORMATION AND HEAD DATA
journal, October 2004
- Vasco, D. W.
- Water Resources Research, Vol. 40, Issue 10
Zeroth-order inversion of transient pressure observations
journal, February 2008
- Vasco, D. W.
- Inverse Problems, Vol. 24, Issue 2
An Extended Trajectory Mechanics Approach for Calculating the Path of a Pressure Transient: Derivation and Illustration: EXTENDED TRAJECTORY-BASED MODELING
journal, April 2018
- Vasco, D. W.
- Water Resources Research, Vol. 54, Issue 4
Inversion of pressure observations: an integral formulation
journal, November 2001
- Vasco, D. W.; Karasaki, K.
- Journal of Hydrology, Vol. 253, Issue 1-4
Broad band trajectory mechanics
journal, October 2018
- Vasco, D. W.; Nihei, Kurt
- Geophysical Journal International
Resolution and uncertainty in hydrologic characterization
journal, March 1997
- Vasco, D. W.; Datta-Gupta, Akhil; Long, Jane C. S.
- Water Resources Research, Vol. 33, Issue 3
Estimation of reservoir properties using transient pressure data: An asymptotic approach
journal, December 2000
- Vasco, D. W.; Keers, Henk; Karasaki, Kenzi
- Water Resources Research, Vol. 36, Issue 12
A coupled inversion of pressure and surface displacement
journal, December 2001
- Vasco, D. W.; Karasaki, Kenzi; Kishida, Kiyoshi
- Water Resources Research, Vol. 37, Issue 12
Calculating Trajectories Associated With Solute Transport in a Heterogeneous Medium: TRAJECTORIES AND SOLUTE TRANSPORT
journal, September 2018
- Vasco, D. W.; Pride, Steven R.; Zahasky, Christopher
- Water Resources Research, Vol. 54, Issue 9
Asymptotic Theory For Diffusive Electromagnetic Imaging
journal, December 1994
- Virieux, Jean; Flores-Luna, Carlos; Gibert, Dominique
- Geophysical Journal International, Vol. 119, Issue 3
Hydraulic tomography: Development of a new aquifer test method
journal, August 2000
- Yeh, T. -C. Jim; Liu, Shuyun
- Water Resources Research, Vol. 36, Issue 8
Fusion of hydrologic and geophysical tomographic surveys
journal, June 2008
- Yeh, Tian-Chyi Jim; Lee, Cheng-Haw; Hsu, Kuo-Chin
- Geosciences Journal, Vol. 12, Issue 2
Hydraulic tomography using temporal moments of drawdown recovery data: A laboratory sandbox study: LAB VALIDATION OF HYDRAULIC TOMOGRAPHY
journal, January 2009
- Yin, Danting; Illman, Walter A.
- Water Resources Research, Vol. 45, Issue 1
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
- Zhang, Yanbin; Bansal, Neha; Fujita, Yusuke
- SPE Journal, Vol. 21, Issue 05
Analysis of hydraulic tomography using temporal moments of drawdown recovery data: HYDRAULIC TOMOGRAPHY
journal, February 2006
- Zhu, Junfeng; Yeh, Tian-Chyi J.
- Water Resources Research, Vol. 42, Issue 2
Full-waveform inversion of crosshole ground penetrating radar data to characterize a gravel aquifer close to the Thur River, Switzerland
conference, June 2010
- 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
Methods of mathematical physics
journal, January 1992
- Charafi, A.
- Engineering Analysis with Boundary Elements, Vol. 10, Issue 1
Level Set Methods and Dynamic Implicit Surfaces
journal, May 2004
- Osher,, S.; Fedkiw,, R.; Piechor,, K.
- Applied Mechanics Reviews, Vol. 57, Issue 3
Structure-coupled joint inversion of geophysical and hydrological data
text, January 2017
- Lochbühler, T.; Doetsch, J.; Brauchler, R.
- arXiv
Field validation of thermal tracer tomography for reconstruction of aquifer heterogeneity: VALIDATION OF THERMAL TRACER TOMOGRAPHY
journal, June 2017
- Somogyvári, Márk; Bayer, Peter
- Water Resources Research, Vol. 53, Issue 6
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
- Ruggeri, Paolo; Gloaguen, Erwan; Lefebvre, René
- Journal of Hydrology, Vol. 514
Quantum Dynamics with Gaussian Bases Defined by the Quantum Trajectories
journal, January 2016
- Gu, Bing; Garashchuk, Sophya
- The Journal of Physical Chemistry A, Vol. 120, Issue 19
Multidimensional Quantum Trajectory Dynamics in Imaginary Time with Approximate Quantum Potential
journal, September 2010
- Garashchuk, Sophya; Vazhappilly, Tijo
- The Journal of Physical Chemistry C, Vol. 114, Issue 48
Coupled seismic and tracer test inversion for aquifer property characterization
journal, July 1994
- Hyndman, David W.; Harris, Jerry M.; Gorelick, Steven M.
- Water Resources Research, Vol. 30, Issue 7
Bohmian mechanics with complex action: A new trajectory-based formulation of quantum mechanics
journal, December 2006
- Goldfarb, Yair; Degani, Ilan; Tannor, David J.
- The Journal of Chemical Physics, Vol. 125, Issue 23
Quantum trajectory dynamics in imaginary time with the momentum-dependent quantum potential
journal, January 2010
- Garashchuk, Sophya
- The Journal of Chemical Physics, Vol. 132, Issue 1
Efficient quantum trajectory representation of wavefunctions evolving in imaginary time
journal, July 2011
- Garashchuk, Sophya; Mazzuca, James; Vazhappilly, Tijo
- The Journal of Chemical Physics, Vol. 135, Issue 3
Forward and back
journal, May 1981
- Kipp, E. M.
- Industrial Lubrication and Tribology, Vol. 33, Issue 5