Subsurface Hydrology

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Research Focus

Subsurface water constitutes an important component of many water resource systems, supplying fresh water for domestic use, for industry and for agriculture. Management of subsurface water needs reliable predictions of the total amount of available water but also of water quality. Subsurface hydrological models are a valuable tool to deliver that information. Our group has the aim to develop regional subsurface hydrological models that on the one hand take into account subsurface heterogeneity that typically ranges from meter to kilometer scales but on the other hand are simplistic enough to be part of our mesoscale hydrological model system mHM. Our strong expertise in multiscale methods -ranging from homogenisation, stochastic to spatial filtering methods - helps to link complex small scale models with simplistic regional descriptions.


Group Members



Short Project Descriptions


AquaDiva: Modelling Catchment Dynamics Using Travel-Time Distributions

Analysis of catchment behavior 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.

Determining statistical parameters of aquifer heterogeneity from pumping test data

pumping test
Simulated hydraulic head distribution for a pumping test in three-dimensional heterogeneous media.

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.

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

Particle_trajectories

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.

Theory and interpretation of transport experiments and field scale dispersivity

Macrodispersivity reduced
Macrodispersivities α of high and moderate reliability versus observation distance L (one value per aquifer).
Macrodispersivity reduced
Macrodispersivities α versus observation distance L for a few selected aquifers.

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

Hydrological Models and Scaling Effects

The subsurface is affected by high heterogeneity at different spatial scales, from meter to kilometer scales. For this reason, the parametrization of subsurface hydrological models has been recognized as a crucial step for a correct prediction of water flux and transport. More recently, with the advance in computing science and the development of fully coupled hydrological models, it was further emphasized the need of a unified framework to cross and integrate the results obtained from several disciplines, in hydrogeology, soil hydrology and surface hydrology.

Aim of the project is to identify the scaling effects for different hydrological processes, from groundwater recharge to surface run off, to quantify the uncertainty due to unresolved heterogeneity and, finally, to develop a unified data assimilation framework that takes into account different variables (e.g., river discharge and soil moisture) to improve the model performances.

The integrated hydrological model Parflow.CLM is used for these aims. Numerical tests are implemented at different temporal and spatial scales, ranging from hillslope to catchment scales. Specific analyses are conducted based on a virtual reality that mimics the Neckar catchment (Germany). Simplifications of the model complexity are evaluated to define features to integrate in conceptual hydrological models.

DFG project: FOR2131

Partners: University of Bonn, Forschungszentrum Jülich (FZJ), Hannover University, University of Tübingen, University of Hamburg, University of Augsburg.


Former Projects

A discription of former projects is given at the  former project page and the former research group's page .


Teaching

  • Geostatistics Homepage

    Friedrich-Schiller-University Jena, Institute for Hydrogeology, Bachelor and Master in Geoscience, Biogeoscience and related subjects

    Katharina Ross , Sabine Attinger

  • Modelling Flow Homepage

    Friedrich-Schiller-University Jena, Institute for Hydrogeology, Bachelor and Master in Geoscience, Biogeoscience and related subjects

    Katharina Ross , Sabine Attinger

  • Modelling Transport Homepage

    Friedrich-Schiller-University Jena, Institute for Hydrogeology, Bachelor and Master in Geoscience, Biogeoscience and related subjects

    Katharina Ross , Sabine Attinger

  • Dry land hydrology - Irrigation and agricultural hydrology Homepage

    University of Potsdam, Institute for Earth and Environmental Science, Master in geoecology

    Gabriele Baroni


  • Numerical methods and simulation - Uncertainty and sensitivity analysis Homepage

    University of Potsdam, Institute for Earth and Environmental Science, Master in geoecology

    Gabriele Baroni

  • Computational Fluid Dynamics Homepage

    Magdeburg - Stendal University of Applied Sciences, International Master of Water Engineering

    Falk Hesse


  • Mathematics and Modelling Homepage

    Magdeburg - Stendal University of Applied Sciences, Master of Water Engineering

    Falk Hesse


  • Modelling Flow and Transport in the Subsurface Homepage

    Magdeburg - Stendal University of Applied Sciences, Master of Water Engineering

    Falk Hesse



Publications

2017 (5)

  • 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
    full text (url)
  • 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
    full text (url)
  • Jing, M., Heße, F., Wang, W., Fischer, T., Walther, M., Zink, M., Zech, A., Kumar, R., Samaniego, L., Kolditz, O., Attinger, S. (2017):
    Improved representation of groundwater at a regional scale – coupling of mesocale Hydrologic Model (mHM) with OpeneGeoSys (OGS)
    Geosci. Model Dev. Discuss.
    full text (url)
  • 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
    full text (url)

2016 (14)

  • 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)
  • Heße, F., Zink, M., Kumar, R., Samaniego, L., Attinger, S. (2016):
    Spatially distributed characterization of soil dynamics using travel-time distributions
    Hydrol. Earth Syst. Sci. Diss.
    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
    full text (url)
  • 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 (12)

  • 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.R., 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)
  • Kumar, R., Musuuza, J.L., Van Loon, A.F., Teuling, A.J., Barthel, R., Ten Broek, J., Mai, J., Samaniego, L., Attinger, S. (2015):
    Multiscale evaluation of the Standardized Precipitation Index as a groundwater drought indicator
    Hydrol. Earth Syst. Sci. Diss. 12 (8), 7405 - 7436
    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. Diss. 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):
    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., 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., 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):
    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)
  • 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)
  • 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 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)
  • 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)
  • 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 2. Spatially extended injection
    Water Resour. Res. 36 (12), 3605 - 3614
    full text (url)
  • 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)