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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.
Projects
- Modelling Catchment Dynamics Using Travel-Time Distributions
- Determine statistical parameters of aquifer heterogeneity from pumping tests
- A Filtered Density Function Approach in Heterogeneous Porous Media
- Theory and interpretation of transport experiments and field scale dispersivity
- Hydrological models and scaling effects
Short Project Descriptions

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

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
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


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
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.
Contact: Gabriele Baroni , Sabine Attinger
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
- Modelling Flow
Homepage
Friedrich-Schiller-University Jena, Institute for Hydrogeology, Bachelor and Master in Geoscience, Biogeoscience and related subjects
- Modelling Transport
Homepage
Friedrich-Schiller-University Jena, Institute for Hydrogeology, Bachelor and Master in Geoscience, Biogeoscience and related subjects
- Dry land hydrology - Irrigation and agricultural hydrology
Homepage
University of Potsdam, Institute for Earth and Environmental Science, Master in geoecology
- Numerical methods and simulation - Uncertainty and sensitivity analysis
Homepage
University of Potsdam, Institute for Earth and Environmental Science, Master in geoecology
- Computational Fluid Dynamics
Homepage
Magdeburg - Stendal University of Applied Sciences, International Master of Water Engineering
- Mathematics and Modelling
Homepage
Magdeburg - Stendal University of Applied Sciences, Master of Water Engineering
- Modelling Flow and Transport in the Subsurface
Homepage
Magdeburg - Stendal University of Applied Sciences, Master of Water Engineering
2021 (2)
- Jing, M., Kumar, R., Attinger, S., Li, Q., Lu, C., Heße, F. (2021):
Assessing the contribution of groundwater to catchment travel time distributions through integrating conceptual flux tracking with explicit Lagrangian particle tracking
Adv. Water Resour. 149 , art. 103849
full text (doi) - Zech, A., Dietrich, P., Attinger, S., Teutsch, G. (2021):
A field evidence model: how to predict transport in heterogeneous aquifers at low investigation level
Hydrol. Earth Syst. Sci. 25 (1), 1 - 15
full text (doi)
2020 (4)
- Buchwald, J., Chaudhry, A.A., Yoshioka, K., Kolditz, O., Attinger, S., Nagel, T. (2020):
DoE-based history matching for probabilistic uncertainty quantification of thermo-hydro-mechanical processes around heat sources in clay rocks
Int. J. Rock Mech. Min. Sci. 134 , art. 104481
full text (doi) - Jing, M., Kumar, R., Heße, F., Thober, S., Rakovec, O., Samaniego, L., Attinger, S. (2020):
Assessing the response of groundwater quantity and travel time distribution to 1.5, 2, and 3 °C global warming in a mesoscale central German basin
Hydrol. Earth Syst. Sci. 24 (3), 1511 - 1526
full text (doi) - Kumar, R., Heße, F., Rao, P.S.C., Musolff, A., Jawitz, J.W., Sarrazin, F., Samaniego, L., Fleckenstein, J.H., Rakovec, O., Thober, S., Attinger, S. (2020):
Strong hydroclimatic controls on vulnerability to subsurface nitrate contamination across Europe
Nat. Commun. 11 , art. 6302
full text (doi) - Schmidt, L., Heße, F., Attinger, S., Kumar, R. (2020):
Challenges in applying machine learning models for hydrological inference: A case study for flooding events across Germany
Water Resour. Res. 56 (5), e2019WR025924
full text (doi)
2019 (6)
- Baroni, G., Schalge, B., Rakovec, O., Kumar, R., Schüler, L., Samaniego, L., Simmer, C., Attinger, S. (2019):
A comprehensive distributed hydrological modeling intercomparison to support processes representation and data collection strategies
Water Resour. Res. 55 (2), 990 - 1010
full text (doi) - Ehrhardt, S., Kumar, R., Fleckenstein, J.H., Attinger, S., Musolff, A. (2019):
Trajectories of nitrate input and output in three nested catchments along a land use gradient
Hydrol. Earth Syst. Sci. 23 (9), 3503 - 3524
full text (doi) - Heße, F., Comunian, A., Attinger, S. (2019):
What we talk about when we talk about uncertainty. Toward a unified, data-driven framework for uncertainty characterization in hydrogeology
Front. Earth Sci. 7 , art. 118
full text (doi) - Jing, M., Heße, F., Kumar, R., Kolditz, O., Kalbacher, T., Attinger, S. (2019):
Influence of input and parameter uncertainty on the prediction of catchment-scale groundwater travel time distributions
Hydrol. Earth Syst. Sci. 23 (1), 171 - 190
full text (doi) - Ross, K., Heße, F., Musuuza, J.L., Attinger, S. (2019):
Ensemble and effective dispersion in three-dimensional isotropic fractal media
Stoch. Environ. Res. Risk Assess. 33 (11-12), 2089 - 2107
full text (doi) - Zech, A., Attinger, S., Bellin, A., Cvetkovic, V., Dietrich, P., Fiori, A., Teutsch, G., Dagan, G. (2019):
A critical analysis of transverse dispersivity field data
Groundwater 57 (4), 632 - 639
full text (doi)
2018 (5)
- Attinger, S. (2018):
Wie (un)sicher ist die Zukunft? Smarte Modelle in der Umweltforschung. Essay
Umwelt Perspektiven (August 2018), 2 - 3 - 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 (doi) - 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 (doi) - Peche, A., Graf, T., Fuchs, L., Neuweiler, I., Neuweiler, J., Huber, M., Vassolo, S., Stoeckl, L., Lindenmaier, F., Neukum, C., Jing, M., Attinger, S. (2018):
HH processes
In: Kolditz, O., Nagel, T., Shao, H., Wang, W., Bauer, S. (eds.)
Thermo-hydro-mechanical-chemical processes in fractured porous media: Modelling and benchmarking. From benchmarking to tutoring
Terrestrial Environmental Sciences
Springer Nature, Cham, p. 125 - 144
full text (doi) - 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 (doi)
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
full text (doi) - 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 (doi) - 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 (doi) - 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 (doi)
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 (doi) - 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.-Atmos. 121 (18), 10676 - 10700
full text (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi)
2015 (10)
- 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi)
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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi)
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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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) - 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) - 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 (doi) - 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 (doi) - 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 (doi)
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 (doi) - 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 (doi) - 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 (doi)
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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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
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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 (doi) - 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 (doi) - 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 (doi) - Muha, I., Stichel, S., Attinger, S., Wittum, G. (2010):
Coarse graining on arbitrary grids
Multiscale Model. Simul. 8 (4), 1368 - 1382
full text (doi) - 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 (doi) - 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 (doi) - 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 (doi) - 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
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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 (doi) - 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 (doi) - 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 (doi) - 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
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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 (doi) - 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 (doi) - 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
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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
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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 (doi) - 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
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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
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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 (doi) - 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 (doi) - 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 (doi) - Eberhard, J., Attinger, S., Wittum, G. (2004):
Coarse graining for upscaling of flow in heterogeneous porous media
Multiscale Model. Simul. 2 (2), 269 - 301
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2003 (5)
- Attinger, S. (2003):
Generalized coarse graining procedures for flow in porous media
Comput. Geosci. 7 (4), 253 - 273
full text (doi) - Attinger, S., Micha, J.D., Kinzelbach, W. (2003):
Multiscale modeling of nonlinearly adsorbing solute transport
Multiscale Model. Simul. 1 (3), 408 - 431
full text (doi) - 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 (doi) - 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 (doi) - 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
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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 (doi) - 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 (doi) - 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 (doi) - 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 (doi) - Stauffer, F., Attinger, S., Zimmermann, S., Kinzelbach, W. (2002):
Uncertainty estimation of well catchments in heterogeneous aquifers
Water Resour. Res. 38 (11), 1238
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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 (doi) - 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 (doi) - 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 (doi)
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 (doi) - 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
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