AquaDiva: Modelling Catchment Dynamics Using Travel-Time Distributions

The collaborated research centre (Sonderforschungsbereich) AquaDiva is dedicated to the investigation of how surface conditions and geology influence the functional biodiversity of the subsurface. Within this centre we are tasked with modelling the water and energy movement through the subsurface.

To that end, we apply the mesocsale Hydrological Model mHM , a spatially distributed hydrological model to the catchment of the AquaDiva observation site. Using detailed data of precipitation, land cover, morphology and soil type as inputs, mHM can determine fluxes like recharge and evapotranspiration and states like soil moisture as outputs.

Using these data, we apply the analytical framework developed by Botter et al. [2010, WRR] and Van der Velde et al. [2012, WRR] to quantify how the catchment stores and releases water. This allows for a description of the flow and transport dynamics taking place in the catchment. The spatial distribution of such dynamics can then be compared with land cover and soil moisture maps as well as driving forces like precipitation and temperature. Additionally we can determine the temporal evolution of mean travel times by using time series of all relevant hydrological processes from 1960-2010.

Contact:  Falk Hesse , Sabine Attinger

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Determining statistical parameters of aquifer heterogeneity from pumping test data

We develop new schemes for interpreting pumping tests in heterogeneous aquifers by making use of adaptive multi-scaling techniques (Coarse Graining). Usually, the heterogeneous character of aquifers prevents a consistent interpretation of pumping tests based on Thiem's or Theis formula, since interpreting the aquifer as an equivalent homogeneous aquifer fails. The reason for this failure lies in an increased impact of heterogeneities due to steep gradients of the water flux close to the pumping well. Adaptive coarsening strategies allow for resolving steep gradients in adequate resolution.

The methods, we are developing allow to describe the drawdown of a pumping test in heterogeneous aquifer effectively. Thereby, we derive analytical or semi-analytical solutions for both steady state and transient pumping test in two and three dimensional porous media. In combination with numerical pumping tests we determine the ability of our approach to predict parameters of aquifer heterogeneity by inverse estimation. Furthermore we aim to adapt the procedure to conditions comparable to field site investigations. Sensitivity analysis indicate how accuracy and uncertainty of estimated parameters correlate to number and spatial distribution of head measurements. Thus heterogeneous structures of the aquifer can be identified.

Contact: Alraune Zech , Sebastian Müller , Sabine Attinger

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A Filtered Density Function Approach to Uncertainty Assessments for Reactive Transport in Heterogeneous Porous Media

Modelling contaminant transport in heterogeneous aquifers is a challenging task. The range of problems include the dominant role of mixing on reactive processes and the quantitive description of chemical kinetics.

The probability density function (pdf) approach has promising properties allowing to overcome most of these problems. Non-linear reaction terms appearing in the pdf evolution equations can be treated exactly and without any assumptions, for instance. Taking advantage of the pdf approach for flow in heterogeneous porous media we aim to derive an evolution equation for the pdf of groundwater flow.This derivation implies upscaling of equations by the coarse graining procedure.

With this work we hope to develop a robust tool for groundwater contamination risk assessments.

Contact: Lennart Schüler , Sabine Attinger

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Theory and interpretation of transport experiments and field scale dispersivity

Transport by groundwater occurs over the different scales encountered by moving solute plumes. Spreading of plumes is often quantified by the longitudinal macrodispersivity α. It was found that generally α is scale dependent, increasing with the travel distance L of the plume centroid, stabilizing eventually at a constant value (lower Figure).

It was surmised in the literature that α scales up with travel distance L following a universal scaling law. Attempts to define the scaling law, including theoretical justifications, were pursued by fitting a regression line in the log-log representation of results from an ensemble of field experiment, primarily those summarized by Gelhar et al, 1992. Despite concerns raised about universality of scaling laws, such relationships are being employed by practitioners for modeling multiscale transport. They, presumably, offer a convenient prediction tool, with no need for detailed site characterization.

We revisited the concept of universal scaling through detailed analyses of field data, coupled with a thorough re-evaluation of the reliability of the reported α values. Our investigation concludes that transport, and particularly α, is formation-specific, and that modelling of transport cannot be relegated to a universal scaling law. Instead, transport requires characterization of aquifer properties, e.g. spatial distribution of hydraulic conductivity, and the use of adequate models.

Contact: Alraune Zech , Sabine Attinger , Alberto Bellin, Vladimir Cvetkovic, Gedeon Dagan, Peter Dietrich , Aldo Fiori, Yoram Rubin, Georg Teutsch

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2018 (4)

• Ayllón, D., Grimm, V., Attinger, S., Hauhs, M., Simmer, C., Vereecken, H., Lischeid, G. (2018):
  Cross-disciplinary links in environmental systems science: Current state and claimed needs identified in a meta-review of process models
  Sci. Total Environ. 622-623 , 945 - 973
  full text (url)
• Jing, M., Heße, F., Kumar, R., Kolditz, O., Attinger, S. (2018):
  Influence of input and parameter uncertainty on the prediction of catchment-scale groundwater travel time distributions
  Hydrol. Earth Syst. Sci. Discuss.
  full text (url)
• Jing, M., Heße, F., Kumar, R., Wang, W., Fischer, T., Walther, M., Zink, M., Zech, A., Samaniego, L., Kolditz, O., Attinger, S. (2018):
  Improved regional-scale groundwater representation by the coupling of the mesoscale Hydrologic Model (mHM v5.7) to the groundwater model OpenGeoSys (OGS)
  Geosci. Model Dev. 11 (5), 1989 - 2007
  full text (url)
• Zech, A., D'Angelo, C., Attinger, S., Fiori, A. (2018):
  Revisitation of the dipole tracer test for heterogeneous porous formations
  Adv. Water Resour. 115 , 198 - 206
  full text (url)

2017 (4)

• Baroni, G., Zink, M., Kumar, R., Samaniego, L., Attinger, S. (2017):
  Effects of uncertainty in soil properties on simulated hydrological states and fluxes at different spatio-temporal scales
  Hydrol. Earth Syst. Sci. 21 (5), 2301 - 2320
  final draft (pdf)
• Heße, F., Zink, M., Kumar, R., Samaniego, L., Attinger, S. (2017):
  Spatially distributed characterization of soil-moisture dynamics using travel-time distributions
  Hydrol. Earth Syst. Sci. 21 (1), 549 - 570
  final draft (pdf)
• Samaniego, L., Kumar, R., Thober, S., Rakovec, O., Zink, M., Wanders, N., Eisner, S., Müller Schmied, H., Sutanudjaja, E.H., Warrach-Sagi, K., Attinger, S. (2017):
  Toward seamless hydrologic predictions across spatial scales
  Hydrol. Earth Syst. Sci. 21 (9), 4323 - 4346
  full text (url)
• Wollschläger, U., Attinger, S., Borchardt, D., Brauns, M., Cuntz, M., Dietrich, P., Fleckenstein, J.H., Friese, K., Friesen, J., Harpke, A., Hildebrandt, A., Jäckel, G., Kamjunke, N., Knöller, K., Kögler, S., Kolditz, O., Krieg, R., Kumar, R., Lausch, A., Liess, M., Marx, A., Merz, R., Mueller, C., Musolff, A., Norf, H., Oswald, S.E., Rebmann, C., Reinstorf, F., Rode, M., Rink, K., Rinke, K., Samaniego, L., Vieweg, M., Vogel, H.-J., Weitere, M., Werban, U., Zink, M., Zacharias, S. (2017):
  The Bode hydrological observatory: a platform for integrated, interdisciplinary hydro-ecological research within the TERENO Harz/Central German Lowland Observatory
  Environ. Earth Sci. 76 (1), art. 29
  final draft (pdf)

2016 (13)

• Arnold, S., Attinger, S., Frank, K., Baxter, P., Possingham, H., Hildebrandt, A. (2016):
  Ecosystem management along ephemeral rivers: trading off socio-economic water supply and vegetation conservation under flood regime uncertainty
  River Res. Appl. 32 (3), 219 - 233
  full text (url)
• Cuntz, M., Mai, J., Samaniego, L., Clark, M., Wulfmeyer, V., Branch, O., Attinger, S., Thober, S. (2016):
  The impact of standard and hard-coded parameters on the hydrologic fluxes in the Noah-MP land surface model
  J. Geophys. Res. 121 (18), 10676 - 10700
  full text (url)
• Fiori, A., Cvetkovic, V., Dagan, G., Attinger, S., Bellin, A., Dietrich, P., Zech, A., Teutsch, G. (2016):
  Debates—Stochastic subsurface hydrology from theory to practice: The relevance of stochastic subsurface hydrology to practical problems of contaminant transport and remediation. What is characterization and stochastic theory good for?
  Water Resour. Res. 52 (12), 9228 - 9234
  full text (url)
• Kumar, R., Musuuza, J.L., Van Loon, A.F., Teuling, A.J., Barthel, R., Ten Broek, J., Mai, J., Samaniego, L., Attinger, S. (2016):
  Multiscale evaluation of the Standardized Precipitation Index as a groundwater drought indicator
  Hydrol. Earth Syst. Sci. 20 (3), 1117 - 1131
  final draft (pdf)
• Pechstein, A., Attinger, S., Krieg, R., Copty, N.K. (2016):
  Estimating transmissivity from single-well pumping tests in heterogeneous aquifers
  Water Resour. Res. 52 (1), 495 - 510
  full text (url)
• Rakovec, O., Kumar, R., Attinger, S., Samaniego, L. (2016):
  Improving the realism of hydrologic model functioning through multivariate parameter estimation
  Water Resour. Res. 52 (10), 7779 - 7792
  full text (url)
• Rakovec, O., Kumar, R., Mai, J., Cuntz, M., Thober, S., Zink, M., Attinger, S., Schäfer, D., Schrön, M., Samaniego, L. (2016):
  Multiscale and multivariate evaluation of water fluxes and states over European river basins
  J. Hydrometeorol. 17 (1), 287 - 307
  full text (url)
• Schüler, L., Suciu, N., Knabner, P., Attinger, S. (2016):
  A time dependent mixing model to close PDF equations for transport in heterogeneous aquifers
  Adv. Water Resour. 96 , 55 - 67
  full text (url)
• Suciu, N., Schüler, L., Attinger, S., Knabner, P. (2016):
  Towards a filtered density function approach for reactive transport in groundwater
  Adv. Water Resour. 90 , 83 - 98
  full text (url)
• Zech, A., Attinger, S. (2016):
  Technical note: Analytical drawdown solution for steady-state pumping tests in two-dimensional isotropic heterogeneous aquifers
  Hydrol. Earth Syst. Sci. 20 (5), 1655 - 1667
  full text (url)
• Zech, A., Attinger, S., Cvetkovic, V., Dagan, G., Dietrich, P., Fiori, A., Rubin, Y., Teutsch, G. (2016):
  Reply to comment by S. Neuman on "Is unique scaling of aquifer macrodispersivity supported by field data?"
  Water Resour. Res. 52 (5), 4203 - 4205
  full text (url)
• Zech, A., Müller, S., Mai, J., Heße, F., Attinger, S. (2016):
  Extending Theis' solution: Using transient pumping tests to estimate parameters of aquifer heterogeneity
  Water Resour. Res. 52 (8), 6156 - 6170
  full text (url)
• Zech, A., Zehner, B., Kolditz, O., Attinger, S. (2016):
  Impact of heterogeneous permeability distribution on the groundwater flow systems of a small sedimentary basin
  J. Hydrol. 532 , 90 - 101
  full text (url)

2015 (11)

• Archfield, S.A., Clark, M., Arheimer, B., Hay, L.E., McMillan, H., Kiang, J.E., Seibert, J., Hakala, K., Bock, A., Wagener, T., Farmer, W.H., Andréassian, V., Attinger, S., Viglione, A., Knight, R., Markstrom, S., Over, T. (2015):
  Accelerating advances in continental domain hydrologic modeling
  Water Resour. Res. 51 (12), 10078 - 10091
  full text (url)
• Arnold, S., Attinger, S., Frank, K., Hildebrandt, A. (2015):
  Assessing the structural adequacy of alternative ecohydrological models using a pattern-oriented approach
  Ecol. Model. 316 , 52 - 61
  full text (url)
• Cuntz, M., Mai, J., Zink, M., Thober, S., Kumar, R., Schäfer, D., Schrön, M., Craven, J., Rakovec, O., Spieler, D., Prykhodko, V., Dalmasso, G., Musuuza, J., Langenberg, B., Attinger, S., Samaniego, L. (2015):
  Computationally inexpensive identification of noninformative model parameters by sequential screening
  Water Resour. Res. 51 (8), 6417 - 6441
  full text (url)
• Fischer, C., Tischer, J., Roscher, C., Eisenhauer, N., Ravenek, J., Gleixner, G., Attinger, S., Jensen, B., de Kroon, H., Mommer, L., Scheu, S., Hildebrandt, A. (2015):
  Plant species diversity affects infiltration capacity in an experimental grassland through changes in soil properties
  Plant Soil 397 (1), 1 - 16
  full text (url)
• Heße, F., Savoy, H., Osorio-Murillo, C.A., Sege, J., Attinger, S., Rubin, Y. (2015):
  Characterizing the impact of roughness and connectivity features of aquifer conductivity using Bayesian inversion
  J. Hydrol. 531 (Part 1), 73 - 87
  full text (url)
• Suciu, N., Attinger, S., Radu, F.A., Vamoş, C., Vanderborght, J., Vereecken, H., Knabner, P. (2015):
  Solute transport in aquifers with evolving scale heterogeneity
  Analele Stiint. Univ. Ovidius C. Mat. 23 (3), 167 - 186
  full text (url)
• Suciu, N., Radu, F.A., Attinger, S., Schüler, L., Knabner, P. (2015):
  A Fokker–Planck approach for probability distributions of species concentrations transported in heterogeneous media
  J. Comput. Appl. Math. 289 , 241 - 252
  full text (url)
• Suciu, N., Schüler, L., Attinger, S., Vamoş, C., Knabner, P. (2015):
  Consistency issues in PDF methods
  Analele Stiint. Univ. Ovidius C. Mat. 23 (3), 187 - 208
  full text (url)
• Zech, A., Arnold, S., Schneider, C., Attinger, S. (2015):
  Estimating parameters of aquifer heterogeneity using pumping tests - implications for field applications
  Adv. Water Resour. 83 , 137 - 147
  full text (url)
• Zech, A., Attinger, S. (2015):
  Technical note: analytical solution for the mean drawdown of steady state pumping tests in two-dimensional isotropic heterogeneous aquifers
  Hydrol. Earth Syst. Sci. Discuss. 12 (7), 6921 - 6944
  full text (url)
• Zech, A., Attinger, S., Cvetkovic, V., Dietrich, P., Fiori, A., Rubin, Y., Teutsch, G. (2015):
  Is unique scaling of aquifer macrodispersivity supported by field data?
  Water Resour. Res. 51 (9), 7662 - 7679
  full text (url)

2014 (6)

• Bechmann, M., Schneider, C., Carminati, A., Vetterlein, D., Attinger, S., Hildebrandt, A. (2014):
  Effect of parameter choice in root water uptake models – the arrangement of root hydraulic properties within the root architecture affects dynamics and efficiency of root water uptake
  Hydrol. Earth Syst. Sci. 18 (10), 4189 - 4206
  full text (url)
• Fischer, C., Roscher, C., Jensen, B., Eisenhauer, N., Baade, J., Attinger, S., Scheu, S., Weisser, W.W., Schumacher, J., Hildebrandt, A. (2014):
  How do earthworms, soil texture and plant composition affect infiltration along an experimental plant diversity gradient in grassland?
  PLOS One 9 (6), e98987
  full text (url)
• Gayler, S., Wöhling, T., Grzeschik, M., Ingwersen, J., Wizemann, H.-D., Warrach-Sagi, K., Högy, P., Attinger, S., Streck, T., Wulfmeyer, V. (2014):
  Incorporating dynamic root growth enhances the performance of Noah-MP at two contrasting winter wheat field sites
  Water Resour. Res. 50 (2), 1337 - 1356
  full text (url)
• Heße, F., Prykhodko, V., Attinger, S., Thullner, M. (2014):
  Corrigendum to “Assessment of the impact of pore-scale mass-transfer restrictions on microbially-induced stable-isotope fractionation” [ADWR 74C (2014) 79–90]
  Adv. Water Resour. 74 , 329
  full text (url)
• Heße, F., Prykhodko, V., Attinger, S., Thullner, M. (2014):
  Assessment of the impact of pore-scale mass-transfer restrictions on microbially-induced stable-isotope fractionation
  Adv. Water Resour. 74 , 79 - 90
  full text (url)
• Heße, F., Prykhodko, V., Schlüter, S., Attinger, S. (2014):
  Generating random fields with a truncated power-law variogram: A comparison of several numerical methods
  Environ. Modell. Softw. 55 , 32 - 48
  full text (url)

2013 (10)

• Grathwohl, P., Rügner, H., Wöhling, T., Osenbrück, K., Schwientek, M., Gayler, S., Wollschläger, U., Selle, B., Pause, M., Delfs, J.-O., Grzeschik, M., Weller, U., Ivanov, M., Cirpka, O.A., Maier, U., Kuch, B., Nowak, W., Wulfmeyer, V., Warrach-Sagi, K., Streck, T., Attinger, S., Bilke, L., Dietrich, P., Fleckenstein, J.H., Kalbacher, T., Kolditz, O., Rink, K., Samaniego, L., Vogel, H.-J., Werban, U., Teutsch, G. (2013):
  Catchments as reactors: a comprehensive approach for water fluxes and solute turnover
  Environ. Earth Sci. 69 (2), 317 - 333
  full text (url)
• Heße, F., Prykhodko, V., Attinger, S. (2013):
  Assessing the validity of a lower-dimensional representation of fractures for numerical and analytical investigations
  Adv. Water Resour. 56 , 35 - 48
  full text (url)
• Kumar, R., Samaniego, L., Attinger, S. (2013):
  Implications of distributed hydrologic model parameterization on water fluxes at multiple scales and locations
  Water Resour. Res. 49 (1), 360 - 379
  full text (url)
• Mai, J., Trump, S., Lehmann, I., Attinger, S. (2013):
  Parameter importance in FRAP acquisition and analysis: a simulation approach
  Biophys. J. 104 (9), 2089 - 2097
  full text (url)
• Ross, K., Attinger, S., Heße, F., Mussuza, J., Radu, F. (2013):
  Development of simple models for the fast computation of flow and transport through fractured rocks
  In: Schneider, A. (ed.)
  Representation of inhomogeneities in the flow and transport codes d³f and r³t
  GRS 311
  Gesellschaft für Anlagen- und Reaktorsicherheit, Köln ; Garching b. München ; Berlin ; Braunschweig, p. 145 - 151
  full text (url)
• Ross, K., Attinger, S., Heße, F., Mussuza, J., Radu, F. (2013):
  Meso-scale reference model
  In: Schneider, A. (ed.)
  Representation of inhomogeneities in the flow and transport codes d³f and r³t
  GRS 311
  Gesellschaft für Anlagen- und Reaktorsicherheit, Köln ; Garching b. München ; Berlin ; Braunschweig, p. 17 - 60
  full text (url)
• Ross, K., Attinger, S., Heße, F., Mussuza, J., Radu, F. (2013):
  Concepts and criteria for multi-scale adaptivity
  In: Schneider, A. (ed.)
  Representation of inhomogeneities in the flow and transport codes d³f and r³t
  GRS 311
  Gesellschaft für Anlagen- und Reaktorsicherheit, Köln ; Garching b. München ; Berlin ; Braunschweig, p. 85 - 114
  full text (url)
• Tessema, S.G., Mirgorodsky, D., Merten, D., Hildebrandt, A., Attinger, S., Büchel, G. (2013):
  Hydrochemical characterization of groundwater system of biodiversity experimental field: Jena, Germany
  Environ. Earth Sci. 70 (2), 821 - 837
  full text (url)
• Wehrer, M., Mai, J., Attinger, S., Totsche, K.U. (2013):
  Kinetic control of contaminant release from NAPLs – Information potential of concentration time profiles
  Environ. Pollut. 179 , 301 - 314
  full text (url)
• Wöhling, T., Gayler, S., Priesack, E., Ingwersen, J., Wizemann, H.-D., Högy, P., Cuntz, M., Attinger, S., Wulfmeyer, V., Streck, T. (2013):
  Multiresponse, multiobjective calibration as a diagnostic tool to compare accuracy and structural limitations of five coupled soil-plant models and CLM3.5
  Water Resour. Res. 49 (12), 8200 - 8221
  full text (url)

2012 (3)

• Al-Mushaikhi, K.S.A., Oswald, S., Attinger, S., Büchel, G., Knöller, K., Strauch, G. (2012):
  Evaluation of groundwater dynamics and quality in the Najd aquifers located in the Sultanate of Oman
  Environ. Earth Sci. 66 (4), 1195 - 1211
  full text (url)
• Musuuza, J.L., Radu, F.A., Attinger, S. (2012):
  Predicting predominant thermal convection in thermohaline flows in saturated porous media
  Adv. Water Resour. 49 , 23 - 36
  full text (url)
• Zech, A., Schneider, C.L., Attinger, S. (2012):
  The Extended Thiem's solution: including the impact of heterogeneity
  Water Resour. Res. 48 , W10535
  full text (url)

2011 (6)

• Kalbacher, T., Schneider, C.L., Wang, W., Hildebrandt, A., Attinger, S., Kolditz, O. (2011):
  Modeling soil-coupled water uptake of multiple root systems with automatic time stepping
  Vadose Zone J. 10 (2), 727 - 735
  full text (url)
• Mai, J., Trump, S., Ali, R., Schiltz, R.L., Hager, G., Hanke, T., Lehmann, I., Attinger, S. (2011):
  Are assumptions about the model type necessary in reaction-diffusion modeling? A FRAP application
  Biophys. J. 100 (5), 1178 - 1188
  full text (url)
• Michaelson, J., Trump, S., Rudzok, S., Gräbsch, C., Madureira, D.J., Dautel, F., Mai, J., Attinger, S., Schirmer, K., von Bergen, M., Lehmann, I., Beyer, A. (2011):
  Transcriptional signatures of regulatory and toxic responses to benzo-[a]-pyrene exposure
  BMC Genomics 12 , art. 502
  full text (url)
• Musuuza, J.L., Radu, F.A., Attinger, S. (2011):
  The stability of density-driven flows in saturated heterogeneous porous media
  Adv. Water Resour. 34 (11), 1464 - 1482
  full text (url)
• Musuuza, J.L., Radu, F.A., Attinger, S. (2011):
  The effect of dispersion on the stability of density-driven flows in saturated homogeneous porous media
  Adv. Water Resour. 34 (3), 417 - 432
  full text (url)
• Radu, F.A., Suciu, N., Hoffmann, J., Vogel, A., Kolditz, O., Park, C.-H., Attinger, S. (2011):
  Accuracy of numerical simulations of contaminant transport in heterogeneous aquifers: a comparative study
  Adv. Water Resour. 34 (1), 47 - 61
  full text (url)

2010 (9)

• Faisal, S., Lichtenberg, G., Trump, S., Attinger, S. (2010):
  Structural properties of continuous representations of Boolean functions for gene network modelling
  Automatica 46 (12), 2047 - 2052
  full text (url)
• Hesse, F., Harms, H., Attinger, S., Thullner, M. (2010):
  Linear exchange model for the description of mass transfer limited bioavailability at the pore scale
  Environ. Sci. Technol. 44 (6), 2064 - 2071
  full text (url)
• Kalbacher, T., Schneider, C.L., Wang, W., Hildebrandt, A., Attinger, S., Kolditz, O. (2010):
  Computational efficient modelling of soil-coupled 3D root water uptake for multiple root systems
  In: Carrera, J., Sánchez-Vila, X., Fernández-García, D., Bolster, D. (eds.)
  Proceedings of the XVIII International Conference on Computational Methods in Water Resources (CMWR 2010), June 21 to 24, 2010, Barcelona, Spain
  CIMNE, Barcelona, p. 1261 - 1268
  full text (url)
• Kumar, R., Samaniego, L., Attinger, S. (2010):
  The effects of spatial discretization and model parameterization on the prediction of extreme runoff characteristics
  J. Hydrol. 392 (1), 54 - 69
  full text (url)
• Muha, I., Stichel, S., Attinger, S., Wittum, G. (2010):
  Coarse graining on arbitrary grids
  Multiscale Model. Simul. 8 (4), 1368 - 1382
  full text (url)
• Proulx, R., Wirth, C., Voigt, W., Weigelt, A., Roscher, C., Attinger, S., Baade, J., Barnard, R.L., Buchmann, N., Buscot, F., Eisenhauer, N., Fischer, M., Gleixner, G., Halle, S., Hildebrandt, A., Kowalski, E., Kuu, A., Lange, M., Milcu, A., Niklaus, P.A., Oelmann, Y., Rosenkranz, S., Sabais, A., Scherber, C., Scherer-Lorenzen, M., Scheu, S., Schulze, E.-D., Schumacher, J., Schwichtenberg, G., Soussana, J.-F., Temperton, V.M., Weisser, W.W., Wilcke, W., Schmid, B. (2010):
  Diversity promotes temporal stability across levels of ecosystem organization in experimental grasslands
  PLoS One 5 (10), e13382
  full text (url)
• Radu, F.A., Pop, I.S., Attinger, S. (2010):
  Analysis of an Euler implicit-mixed finite element scheme for reactive solute transport in porous media
  Numer. Meth. Part Differ. Equ. 26 (2), 320 - 344
  full text (url)
• Samaniego, L., Kumar, R., Attinger, S. (2010):
  Multiscale parameter regionalization of a grid-based hydrologic model at the mesoscale
  Water Resour. Res. 46 , W05523
  full text (url)
• Schneider, C.L., Attinger, S., Delfs, J.-O., Hildebrandt, A. (2010):
  Implementing small scale processes at the soil-plant interface - the role of root architectures for calculating root water uptake profiles
  Hydrol. Earth Syst. Sci. 14 (2), 279 - 289
  full text (url)

2009 (4)

• Arnold, S., Attinger, S., Frank, K., Hildebrandt, A. (2009):
  Uncertainty in parameterisation and model structure affect simulation results in coupled ecohydrological models
  Hydrol. Earth Syst. Sci. 13 (10), 1789 - 1807
  full text (url)
• Attinger, S., Dimitrova, J., Kinzelbach, W. (2009):
  Homogenization of the transport behavior of nonlinearly adsorbing pollutants in physically and chemically heterogeneous aquifers
  Adv. Water Resour. 32 (5), 767 - 777
  full text (url)
• Heße, F., Radu, F.A., Thullner, M., Attinger, S. (2009):
  Upscaling of the advection-diffusion-reaction equation with Monod reaction
  Adv. Water Resour. 32 (8), 1336 - 1351
  full text (url)
• Musuuza, J.L., Attinger, S., Radu, F.A. (2009):
  An extended stability criterion for density-driven flows in homogeneous porous media
  Adv. Water Resour. 32 (6), 796 - 808
  full text (url)

2008 (3)

• Attinger, S., Abdulle, A. (2008):
  Effective velocity for transport in heterogeneous compressible flows with mean drift
  Phys. Fluids 20 (1), 016102
  full text (url)
• Radu, F.A., Bause, M., Prechtel, A., Attinger, S. (2008):
  A mixed hybrid finite element discretization scheme for reactive transport in porous media
  In: Kunisch, K., Of, G., Steinbach, O. (eds.)
  Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007
  Springer, Berlin, Heidelberg, p. 513 - 520
  full text (url)
• Schneider, C.L., Attinger, S. (2008):
  Beyond Thiem - a new method for interpreting large scale pumping tests in heterogeneous aquifers
  Water Resour. Res. 44 , W04427
  full text (url)

2007 (1)

• Radu, F.A., Pop, I.S., Attinger, S., Knabner, P. (2007):
  Error estimates for an Euler implicit-mixed finite element scheme for reactive transport in saturated/unsaturated soil
  Proceedings in Applied Mathematics and Mechanics 7 (1), 1024705 - 1024706
  full text (url)

2006 (2)

• Abdulle, A., Attinger, S. (2006):
  Numerical methods for transport problems in microdevices
  In: Lirkov, I., Margenov, S., Waśniewski, J. (eds.)
  Large-scale scientific computing. 5th International Conference, LSSC 2005, Sozopol, Bulgaria, June 6-10, 2005. Revised Papers
  Lect. Notes Comput. Sci. 3743
  Springer, Berlin, Heidelberg, New York, p. 67 - 75
  full text (url)
• Schulz, K., Seppelt, R., Zehe, E., Vogel, H.-J., Attinger, S. (2006):
  Importance of spatial structures in advancing hydrological sciences
  Water Resour. Res. 42 (3), W03S03
  full text (url)

2005 (1)

• Held, R., Attinger, S., Kinzelbach, W. (2005):
  Homogenization and effective parameters for the Henry problem in heterogeneous formations
  Water Resour. Res. 41 (11), W11420
  full text (url)

2004 (4)

• Abdulle, A., Attinger, S. (2004):
  Homogenization method for transport of DNA particles in heterogeneous arrays
  In: Attinger, S., Koumoutsakos, P. (eds.)
  Multiscale modelling and simulation
  Lecture Notes in Computational Science and Engineering 39
  Springer, Berlin, Heidelberg, p. 23 - 33
  full text (url)
• Attinger, S., Dentz, M., Kinzelbach, W. (2004):
  Exact transverse macro dispersion coefficients for transport in heterogeneous porous media
  Stoch. Environ. Res. Risk Assess. 18 (1), 9 - 15
  full text (url)
• Attinger, S., Koumoutsakos, P. (eds., 2004):
  Multiscale modelling and simulation
  Lecture Notes in Computational Science and Engineering 39
  Springer, Berlin, Heidelberg, 277 pp.
  full text (url)
• Eberhard, J., Attinger, S., Wittum, G. (2004):
  Coarse graining for upscaling of flow in heterogeneous porous media
  Multiscale Model. Simul. 2 (2), 269 - 301
  full text (url)

2003 (5)

• Attinger, S. (2003):
  Generalized coarse graining procedures for flow in porous media
  Comput. Geosci. 7 (4), 253 - 273
  full text (url)
• Attinger, S., Micha, J.D., Kinzelbach, W. (2003):
  Multiscale modeling of nonlinearly adsorbing solute transport
  Multiscale Model. Simul. 1 (3), 408 - 431
  full text (url)
• Cirpka, O.A., Attinger, S. (2003):
  Effective dispersion in heterogeneous media under random transient flow conditions
  Water Resour. Res. 39 (9), 1 - 15
  full text (url)
• Dentz, M., Kinzelbach, H., Attinger, S., Kinzelbach, W. (2003):
  Numerical studies of the transport behavior of a passive solute in a two-dimensional incompressible random flow field
  Phys. Rev. E 67 (4), 046306
  full text (url)
• Neuweiler, I., Attinger, S., Kinzelbach, W., King, P. (2003):
  Large scale mixing for immiscible displacement in heterogeneous porous media
  Transp. Porous Media 51 (3), 287 - 314
  full text (url)

2002 (5)

• Attinger, S. (2002):
  Parameterizing macro-dispersivity: first pick a length scale. Brian Berkowitz (ed.) Kluwer Academic Publishers, Dordrecht, The Netherlands, 263 pp, US $100.00 ISBN 0-7923-6779-0 (hardback), Published 2001
  Hydrol. Process. 16 (8), 1685 - 1687
  full text (url)
• Attinger, S., Eberhard, J., Neuss, N. (2002):
  Filtering procedures for flow in heterogeneous porous media: numerical results
  Comput. Visual. Sci. 5 (2), 67 - 72
  full text (url)
• Dentz, M., Kinzelbach, H., Attinger, S., Kinzelbach, W. (2002):
  Temporal behavior of a solute cloud in a heterogeneous porous medium 3. Numerical simulations
  Water Resour. Res. 38 (7), 1118
  full text (url)
• Lunati, I., Attinger, S., Kinzelbach, W. (2002):
  Macrodispersivity for transport in arbitrary nonuniform flow fields: asymptotic and preasymptotic results
  Water Resour. Res. 38 (10), 1187
  full text (url)
• Stauffer, F., Attinger, S., Zimmermann, S., Kinzelbach, W. (2002):
  Uncertainty estimation of well catchments in heterogeneous aquifers
  Water Resour. Res. 38 (11), 1238
  full text (url)

2001 (3)

• Attinger, S., Neuweiler, I., Kinzelbach, W. (2001):
  Macrodispersion in a radially diverging flow field with finite Peclet numbers 2. Homogenization theory approach
  Water Resour. Res. 37 (3), 495 - 505
  full text (url)
• Bauer, P., Attinger, S., Kinzelbach, W. (2001):
  Transport of a decay chain in homogenous porous media: analytical solutions
  J. Contam. Hydrol. 49 (3-4), 217 - 239
  full text (url)
• Neuweiler, I., Attinger, S., Kinzelbach, W. (2001):
  Macrodispersion in a radially diverging flow field with finite Peclet numbers 1. Perturbation theory approach
  Water Resour. Res. 37 (3), 481 - 493
  full text (url)

2000 (2)

• Dentz, M., Kinzelbach, H., Attinger, S., Kinzelbach, W. (2000):
  Temporal behavior of a solute cloud in a heterogeneous porous medium 1. Point-like injection
  Water Resour. Res. 36 (12), 3591 - 3604
  full text (url)
• Dentz, M., Kinzelbach, H., Attinger, S., Kinzelbach, W. (2000):
  Temporal behavior of a solute cloud in a heterogeneous porous medium 2. Spatially extended injection
  Water Resour. Res. 36 (12), 3605 - 3614
  full text (url)