Articles | Volume 22, issue 10
https://doi.org/10.5194/hess-22-5485-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-22-5485-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
24 Oct 2018
Research article |
| 24 Oct 2018
| 24 Oct 2018
Contributions to uncertainty related to hydrostratigraphic modeling using multiple-point statistics
Adrian A. S. Barfod
CORRESPONDING AUTHOR
Department of Groundwater and Quaternary Geological Mapping,
Geological Survey of Denmark & Greenland (GEUS), C.F. Møllers Allé
8, 8000 Aarhus C, Denmark
Hydrogeophysics Group, Department of
Geoscience, Aarhus University, C.F. Møllers Allé 4, 8000 Aarhus C,
Denmark
Troels N. Vilhelmsen
Hydrogeophysics Group, Department of
Geoscience, Aarhus University, C.F. Møllers Allé 4, 8000 Aarhus C,
Denmark
Flemming Jørgensen
Department of Groundwater and Quaternary Geological Mapping,
Geological Survey of Denmark & Greenland (GEUS), C.F. Møllers Allé
8, 8000 Aarhus C, Denmark
Anders V. Christiansen
Hydrogeophysics Group, Department of
Geoscience, Aarhus University, C.F. Møllers Allé 4, 8000 Aarhus C,
Denmark
Anne-Sophie Høyer
Department of Groundwater and Quaternary Geological Mapping,
Geological Survey of Denmark & Greenland (GEUS), C.F. Møllers Allé
8, 8000 Aarhus C, Denmark
Julien Straubhaar
Centre d'Hydrogéologie et de Géothermie (CHYN), Université
de Neuchâtel, Neuchâtel, Switzerland
Ingelise Møller
Department of Groundwater and Quaternary Geological Mapping,
Geological Survey of Denmark & Greenland (GEUS), C.F. Møllers Allé
8, 8000 Aarhus C, Denmark
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Chuan-An Xia, Xiaodong Luo, Bill X. Hu, Monica Riva, and Alberto Guadagnini
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Hydrol. Earth Syst. Sci., 25, 1–15, https://doi.org/10.5194/hess-25-1-2021, https://doi.org/10.5194/hess-25-1-2021, 2021
Valentin Dall'Alba, Philippe Renard, Julien Straubhaar, Benoit Issautier, Cédric Duvail, and Yvan Caballero
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Soumendra N. Bhanja, Abhijit Mukherjee, R. Rangarajan, Bridget R. Scanlon, Pragnaditya Malakar, and Shubha Verma
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This paper addresses questions related to the adoption of stochastic methods in hydrogeology, looking at factors such as environmental regulations, financial incentives, higher education, and the collective feedback loop involving these factors. We show that stochastic hydrogeology's blind spot is in focusing on risk while ignoring uncertainty, to the detriment of its potential clients. The imbalance between the treatments of risk and uncertainty is shown to be common to multiple disciplines.
Susanne A. Benz, Peter Bayer, Gerfried Winkler, and Philipp Blum
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Climate change is one of the most pressing challenges modern society faces. Increasing temperatures are observed both above ground and, as discussed here, in the groundwater – the source of most drinking water. Within Austria average temperature increased by 0.7 °C over the past 20 years, with an increase of more than 3 °C in some wells and temperature decrease in others. However, these extreme changes can be linked to local events such as the construction of a new drinking water supply.
Aronne Dell'Oca, Monica Riva, and Alberto Guadagnini
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We propose new metrics to assist global sensitivity analysis of Earth systems. Our approach allows assessing the impact of model parameters on the first four statistical moments of a target model output, allowing us to ascertain which parameters can affect some moments of the model output pdf while being uninfluential to others. Our approach is fully compatible with analysis in the context of model complexity reduction, design of experiment, uncertainty quantification and risk assessment.
Anne-Sophie Høyer, Giulio Vignoli, Thomas Mejer Hansen, Le Thanh Vu, Donald A. Keefer, and Flemming Jørgensen
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We developed a method to characterize the distribution and variance of the hydraulic conductivity k in a multiple-zone alluvial fan by fusing multiple-source data. Consistently with the scales of the sedimentary transport energy, the k variance of the various facies decreases from the upper to the lower portion along the flow direction. The 3-D distribution of k is consistent with that of the facies. The potentialities of the proposed approach are tested on the Chaobai River megafan, China.
Boujemaa Ait-El-Fquih, Mohamad El Gharamti, and Ibrahim Hoteit
Hydrol. Earth Syst. Sci., 20, 3289–3307, https://doi.org/10.5194/hess-20-3289-2016, https://doi.org/10.5194/hess-20-3289-2016, 2016
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We derive a new dual ensemble Kalman filter (EnKF) for state-parameter estimation. The derivation is based on the one-step-ahead smoothing formulation, and unlike the standard dual EnKF, it is consistent with the Bayesian formulation of the state-parameter estimation problem and uses the observations in both state smoothing and forecast. This is shown to enhance the performance and robustness of the dual EnKF in experiments conducted with a two-dimensional synthetic groundwater aquifer model.
Yabin Sun, Dadiyorto Wendi, Dong Eon Kim, and Shie-Yui Liong
Hydrol. Earth Syst. Sci., 20, 1405–1412, https://doi.org/10.5194/hess-20-1405-2016, https://doi.org/10.5194/hess-20-1405-2016, 2016
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This study applies artificial neural networks (ANN) to predict the groundwater table variations in a tropical wetland in Singapore. Surrounding reservoir levels and rainfall are selected as ANN inputs. The limited number of inputs eliminates the data-demanding restrictions inherent in the physical-based numerical models. The forecast is made at 4 locations with 3 leading times up to 7 days. The ANN forecast shows promising accuracy with decreasing performance when leading time progresses.
J. P. Bloomfield, B. P. Marchant, S. H. Bricker, and R. B. Morgan
Hydrol. Earth Syst. Sci., 19, 4327–4344, https://doi.org/10.5194/hess-19-4327-2015, https://doi.org/10.5194/hess-19-4327-2015, 2015
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To improve the design of drought monitoring networks and water resource management during episodes of drought, there is a need for a better understanding of spatial variations in the response of aquifers to major meteorological droughts. This paper is the first to describe a suite of methods to quantify such variations. Using an analysis of groundwater level data for a case study from the UK, the influence of catchment characteristics on the varied response of groundwater to droughts is explored
A. Guadagnini, S. P. Neuman, T. Nan, M. Riva, and C. L. Winter
Hydrol. Earth Syst. Sci., 19, 729–745, https://doi.org/10.5194/hess-19-729-2015, https://doi.org/10.5194/hess-19-729-2015, 2015
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Previously we have shown that many earth-system and other variables can be viewed as samples from scale mixtures of truncated fractional Brownian motion or fractional Gaussian noise. Here we study statistical scaling of extreme absolute increments associated with such samples. As a real example we analyze neutron porosities from deep boreholes in diverse depositional units. Phenomena we uncover are relevant to the analysis of fluid flow and solute transport in complex hydrogeologic environments.
K. Menberg, P. Blum, B. L. Kurylyk, and P. Bayer
Hydrol. Earth Syst. Sci., 18, 4453–4466, https://doi.org/10.5194/hess-18-4453-2014, https://doi.org/10.5194/hess-18-4453-2014, 2014
X. L. He, T. O. Sonnenborg, F. Jørgensen, and K. H. Jensen
Hydrol. Earth Syst. Sci., 18, 2943–2954, https://doi.org/10.5194/hess-18-2943-2014, https://doi.org/10.5194/hess-18-2943-2014, 2014
W. Kurtz, H.-J. Hendricks Franssen, P. Brunner, and H. Vereecken
Hydrol. Earth Syst. Sci., 17, 3795–3813, https://doi.org/10.5194/hess-17-3795-2013, https://doi.org/10.5194/hess-17-3795-2013, 2013
C.-M. Chang and H.-D. Yeh
Hydrol. Earth Syst. Sci., 16, 4049–4055, https://doi.org/10.5194/hess-16-4049-2012, https://doi.org/10.5194/hess-16-4049-2012, 2012
A. Guadagnini, M. Riva, and S. P. Neuman
Hydrol. Earth Syst. Sci., 16, 3249–3260, https://doi.org/10.5194/hess-16-3249-2012, https://doi.org/10.5194/hess-16-3249-2012, 2012
C.-M. Chang and H.-D. Yeh
Hydrol. Earth Syst. Sci., 16, 641–648, https://doi.org/10.5194/hess-16-641-2012, https://doi.org/10.5194/hess-16-641-2012, 2012
L. Li, H. Zhou, H. J. Hendricks Franssen, and J. J. Gómez-Hernández
Hydrol. Earth Syst. Sci., 16, 573–590, https://doi.org/10.5194/hess-16-573-2012, https://doi.org/10.5194/hess-16-573-2012, 2012
M. Siena, A. Guadagnini, M. Riva, and S. P. Neuman
Hydrol. Earth Syst. Sci., 16, 29–42, https://doi.org/10.5194/hess-16-29-2012, https://doi.org/10.5194/hess-16-29-2012, 2012
C.-F. Ni, C.-P. Lin, S.-G. Li, and J.-S. Chen
Hydrol. Earth Syst. Sci., 15, 2291–2301, https://doi.org/10.5194/hess-15-2291-2011, https://doi.org/10.5194/hess-15-2291-2011, 2011
H. Murakami, X. Chen, M. S. Hahn, Y. Liu, M. L. Rockhold, V. R. Vermeul, J. M. Zachara, and Y. Rubin
Hydrol. Earth Syst. Sci., 14, 1989–2001, https://doi.org/10.5194/hess-14-1989-2010, https://doi.org/10.5194/hess-14-1989-2010, 2010
C.-M. Chang and H.-D. Yeh
Hydrol. Earth Syst. Sci., 14, 719–727, https://doi.org/10.5194/hess-14-719-2010, https://doi.org/10.5194/hess-14-719-2010, 2010
Cited articles
Auken, E., Christansen, A. V., Westergaard, J. H., Kirkegaard, C., Foged, N.,
and Viezzoli, A.: An integrated processing scheme for high-resolution
airborne electromagnetic surveys, the SkyTEM system, Explor. Geophys.,
40, 184–192, https://doi.org/10.1071/EG08128, 2009.
Barfod, A. A. S., Møller, I., and Christansen, A. V.: Compiling a national
resistivity atlas of Denmark based on airborne and ground-based transient
electromagnetic data, J. Appl. Geophys., 134, 199–209,
https://doi.org/10.1016/j.jappgeo.2016.09.017, 2016.
Barfod, A. A. S., Møller, I., Christiansen, A. V., Høyer, A.-S., Hoffimann,
J., Straubhaar, J., and Caers, J.: Hydrostratigraphic modeling using
multiple-point statistics and airborne transient electromagnetic methods,
Hydrol. Earth Syst. Sci., 22, 3351–3373,
https://doi.org/10.5194/hess-22-3351-2018, 2018.
Christensen, N. K., Minsley, B. J., and Christensen, S.: Generation of 3-D
hydrostratigraphic zones from dense airborne electromagnetic data to assess
groundwater model prediction error, Water Resour. Res., 53, 1019–1038,
https://doi.org/10.1002/2016WR019141, 2017.
Chugunova, T. and Hu, L. Y.: Multiple-Point Simulations Constrained by
Continuous Auxiliary Data, Math. Geosci., 40, 133–146,
https://doi.org/10.1007/s11004-007-9142-4, 2008.
Comunian, A., Renard, P., and Straubhaar, J.: 3D multiple-point statistics
simulation using 2D training images, Comput. Geosci., 40, 49–65,
https://doi.org/10.1016/j.cageo.2011.07.009, 2012.
Constable, S. C., Parker, R. L., and Constable, C. G.: Occam's inversion: A
practical algorithm for generating smooth models from electromagnetic
sounding data, Geophysics, 52, 289–300, https://doi.org/10.1190/1.1442303, 1987.
de Iaco, S. and Maggio, S.: Validation techniques for geological patterns
simulations based on variogram and multiple-point statistics, Math. Geosci.,
43, 483–500, https://doi.org/10.1007/s11004-011-9326-9, 2011.
Ellis, R. G. and Oldenburg, D. W.: Applied geophysical inversion, Geophys. J.
Int., 116, 5–11, https://doi.org/10.1111/j.1365-246X.1994.tb02122.x, 1994.
Ferré, T. P. A.: Revisiting the Relationship Between Data, Models, and
Decision-Making, Groundwater, 55, 604–614, https://doi.org/10.1111/gwat.12574, 2017.
Feyen, L. and Caers, J.: Quantifying geological uncertainty for flow and
transport modeling in multi-modal heterogeneous formations, Adv. Water
Resour., 29, 912–929, https://doi.org/10.1016/j.advwatres.2005.08.002, 2006.
Fleckenstein, J. H., Niswonger, R. G., and Fogg, G. E.: River-aquifer
interactions, geologic heterogeneity, and low-flow management, Ground Water,
44, 837–852, https://doi.org/10.1111/j.1745-6584.2006.00190.x, 2006.
Fogg, G. E., Noyes, C. D., and Carle, S. F.: Geologically based model of
heterogeneous hydraulic conductivity in an alluvial setting, Hydrogeol. J.,
6, 131–143, https://doi.org/10.1007/s100400050139, 1998.
Gelhar, L. W.: Stochastic analysis of flow in heterogeneous porous media, in
Fundamental of Transport Phenomena in Porous Media, edited by: Bear, J. and
Corapcioglu, Y. M., Springer, the Netherlands, 673–717, 1984.
Goovaerts, P.: Geostatistics for Natural Resource Evaluation, 1st ed., edited
by: Journel, A. G., Oxford University Press, New York, 1997.
Gunnink, J. L. and Siemon, B.: Applying airborne electromagnetics in 3D
stochastic geohydrological modelling for determining groundwater protection,
Near Surf. Geophys., 13, 45–60, https://doi.org/10.3997/1873-0604.2014044, 2015.
Hansen, T. M., Vu, L. T., Mosegaard, K., and Cordua, K. S.: Multiple point
statistical simulation using uncertain (soft) conditional data, Comput.
Geosci., 114, 1–10, https://doi.org/10.1016/j.cageo.2018.01.017, 2018.
He, X., Koch, J., Sonnenborg, T. O., Jørgensen, F., Schamper, C., and
Christian Refsgaard, J.: Transition probability-based stochastic geological
modeling using airborne geophysical data and borehole data, Water Resour.
Res., 50, 3147–3169, https://doi.org/10.1002/2013WR014593, 2014.
He, X. L., Sonnenborg, T. O., Jørgensen, F., and Jensen, H. J.: Modelling
a real-world buried valley system with vertical non-stationarity using
multiple-point statistics, Hydrogeol. J., 25, 359–370,
https://doi.org/10.1007/s10040-016-1486-8, 2016.
Hermans, T., Nguyen, F., and Caers, J.: Uncertainty in training image-based
inversion of hydraulic head data constrained to ERT data: Workflow and case
study, Water Resour. Res., 51, 5332–5352, https://doi.org/10.1002/2014WR016460, 2015.
Høyer, A.-S., Jørgensen, F., Sandersen, P. B. E., Viezzoli, A., and
Møller, I.: 3D geological modelling of a complex buried-valley network
delineated from borehole and AEM data, J. Appl. Geophys., 122, 94–102,
https://doi.org/10.1016/j.jappgeo.2015.09.004, 2015.
Høyer, A.-S., Vignoli, G., Hansen, T. M., Vu, L. T., Keefer, D. A., and
Jørgensen, F.: Multiple-point statistical simulation for hydrogeological
models: 3-D training image development and conditioning strategies, Hydrol.
Earth Syst. Sci., 21, 6069–6089, https://doi.org/10.5194/hess-21-6069-2017,
2017.
Jørgensen, F. and Sandersen, P. B. E.: Buried and open tunnel valleys in
Denmark—erosion beneath multiple ice sheets, Quaternary Sci. Rev., 25,
1339–1363, https://doi.org/10.1016/j.quascirev.2005.11.006, 2006.
Jørgensen, F., Møller, R. R., Sandersen, P. B. E., and Nebel, L.: 3-D
geological modelling of the Egebjerg area , Denmark, based on
hydrogeophysical data, Geol. Surv. Den. Green., 20, 27–30, 2010.
Jørgensen, F., Møller, R. R., Nebel, L., Jensen, N. P., Christansen, A.
V., and Sandersen, P. B. E.: A method for cognitive 3D geological voxel
modelling of AEM data, B. Eng. Geol. Environ., 72, 421–432,
https://doi.org/10.1007/s10064-013-0487-2, 2013.
Journel, A. G.: Combining Knowledge From Diverse Sources: An Alternative to
Traditional Data, Math. Geol., 34, 573–596, 2002.
Journel, A. G. and Zhang, T.: The Necessity of a Multiple-Point Prior Model,
Math. Geol., 38, 591–610, https://doi.org/10.1007/s11004-006-9031-2, 2007.
Krishnan, S.: Combining individual data information: A review and the tau
model, Stanford Center for Reservoir Forecasting (SCRF) annual report 17,
1–54, 2004.
LaBolle, E. M. and Fogg, G. E.: Role of Molecular Diffusion in Contaminant
Migration and Recovery in an Alluvial Aquifer System, Transport Porous Med.,
42, 155–179, https://doi.org/10.1023/A:1006772716244, 2001.
Le Coz, M., Genthon, P., and Adler, P. M.: Multiple-Point Statistics for
Modeling Facies Heterogeneities in a Porous Medium: The Komadugu-Yobe
Alluvium, Lake Chad Basin, Math. Geosci., 43, 861–878,
https://doi.org/10.1007/s11004-011-9353-6, 2011.
Lochbühler, T., Pirot, G., Straubhaar, J., and Linde, N.: Conditioning of
Multiple-Point Statistics Facies Simulations to Tomographic Images, Math.
Geosci., 46, 625–645, https://doi.org/10.1007/s11004-013-9484-z, 2014.
Lowe, D. G.: Distinctive Image Features from Scale-Invariant Keypoints, Int.
J. Comput. Vision, 60, 91–110, https://doi.org/10.1023/B:VISI.0000029664.99615.94, 2004.
Mariethoz, G. and Renard, P.: Reconstruction of Incomplete Data Sets or
Images Using Direct Sampling, Math. Geosci., 42, 245–268,
https://doi.org/10.1007/s11004-010-9270-0, 2010.
Marker, P. A., Vilhelmsen, T. N., Foged, N., Wernberg, T., Auken, E., and
Bauer-Gottwein, P.: Probabilistic predictions using a groundwater model
informed with airborne EM data, Adv. Water Resour., 103, 86–98,
https://doi.org/10.1016/j.advwatres.2017.03.002, 2017.
Maurer, C. R., Qi, R., Raghavan, V., and Member, S.: A linear time algorithm
for computing exact Euclidean distance transforms of binary images in
arbitrary dimensions, IEEE T. Pattern Anal., 25, 265–270,
https://doi.org/10.1109/TPAMI.2003.1177156, 2003.
Maxey, G. B.: Hydrostratigraphic units, J. Hydrol., 2, 124–129, 1964.
Okabe, H. and Blunt, M. J.: Prediction of permeability for porous media
reconstructed using multiple-point statistics, Phys. Rev. E, 70, 1–2,
https://doi.org/10.1103/PhysRevE.70.066135, 2004.
Okabe, H. and Blunt, M. J.: Pore space reconstruction using multiple-point
statistics, J. Pet. Sci. Eng., 46, 121–137,
https://doi.org/10.1016/j.petrol.2004.08.002, 2005.
Pirot, G.: Using Training Images to Build Model Ensembles with Structural
Variability, Groundwater, 55, 656–659, https://doi.org/10.1111/gwat.12556, 2017.
Remy, N., Boucher, A., and Wu, J.: Applied geostatistics with SGeMS: a user's
guide, Cambridge University Press, 2014.
Royse, K. R.: Combining numerical and cognitive 3D modelling approaches in
order to determine the structure of the Chalk in the London Basin, Comput.
Geosci., 36, 500–511, https://doi.org/10.1016/j.cageo.2009.10.001, 2010.
Sandersen, P. B. E., Jørgensen, F., Larsen, N. K., Westergaard, J. H., and
Auken, E.: Rapid tunnel-valley formation beneath the receding Late
Weichselian ice sheet in Vendsyssel, Denmark, Boreas, 38, 834–851,
https://doi.org/10.1111/j.1502-3885.2009.00105.x, 2009.
Seifert, D., Sonnenborg, T. O., Refsgaard, J. C., Højberg, A. L., and
Troldborg, L.: Assessment of hydrological model predictive ability given
multiple conceptual geological models, Water Resour. Res., 48, 1–16,
https://doi.org/10.1029/2011WR011149, 2012.
Sørensen, K. I. and Auken, E.: SkyTEM – a new high-resolution transient
electromagnetic system, Explor. Geophys., 35, 191–199, https://doi.org/10.1071/EG04194,
2004.
Strebelle, S.: Conditional Simulation of Complex Geological Structures Using
Multiple-Point Statistics, Math. Geol., 34, 1–21,
https://doi.org/10.1023/A:1014009426274, 2002.
Strebelle, S. and Journel, A. G.: Reservoir modeling using multiple-point
statistics, Proc. SPE Annu. Tech. Conf. Exhib., 11, https://doi.org/10.2523/71324-MS,
2001.
Tahmasebi, P., Hezarkhani, A., and Sahimi, M.: Multiple-point geostatistical
modeling based on the cross-correlation functions, Comput. Geosci., 16,
779–797, https://doi.org/10.1007/s10596-012-9287-1, 2012.
Tan, X., Tahmasebi, P., and Caers, J.: Comparing training-image based
algorithms using an analysis of distance, Math. Geosci., 46, 149–169,
https://doi.org/10.1007/s11004-013-9482-1, 2014.
Tarantola, A. and Valette, B.: Generalized nonlinear inverse problems solved
using the least squares criterion, Rev. Geophys., 20, 219–232,
https://doi.org/10.1029/RG020i002p00219, 1982.
Tran, T.: Improving variogram reproduction on dense simulation grids, Comput.
Geosci., 20, 1161–1168, https://doi.org/10.1016/0098-3004(94)90069-8, 1994.
Viezzoli, A., Christansen, A. V., Auken, E., and Sørensen, K. I.: Quasi-3D
modeling of airborne TEM data by spatially constrained inversion, Soundings,
73, F1015–F113, https://doi.org/10.1190/1.2895521, 2008.
Vignoli, G., Fiandaca, G., Christansen, A. V., Kirkegaard, C., and Auken, E.:
Sharp spatially constrained inversion with applications to transient
electromagnetic data, Geophys. Prospect., 63, 243–255,
https://doi.org/10.1111/1365-2478.12185, 2015.
Wang, L., Zhang, Y., and Feng, J.: On the Euclidean distance of images, IEEE
T. Pattern Anal., 27, 1334–1339, https://doi.org/10.1109/TPAMI.2005.165, 2005.
Xiaofeng, F. and Wei, W.: Centralized binary patterns embedded with image
euclidean distance for facial expression recognition, Proc. – 4th Int. Conf.
Nat. Comput. ICNC 2008, 4, 115–119, https://doi.org/10.1109/ICNC.2008.94, 2008.
Zhao, Z. and Illman, W. A.: On the importance of geological data for
three-dimensional steady-state hydraulic tomography analysis at a highly
heterogeneous aquifer-aquitard system, J. Hydrol., 544, 640–657,
https://doi.org/10.1016/j.jhydrol.2016.12.004, 2017.
Short summary
The focus of this study is on the uncertainty related to using multiple-point statistics (MPS) for stochastic modeling of the upper 200 m of the subsurface. The main research goal is to showcase how MPS methods can be used on real-world hydrogeophysical data and show how the uncertainty related to changing the underlying MPS setup propagates into the finalized 3-D subsurface models.
The focus of this study is on the uncertainty related to using multiple-point statistics (MPS)...
