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Large scale groundwater modeling for the Rhine Meuse basins

E. H. Sutanudjaja, M.F.P. Bierkens, S. de Jong, and F.C. van Geer

Dept. of Physical Geography, Utrecht University, The Netherlands

: e.sutanudjaja@geo.uu.nl

There are too many models in these basins.

There are abundant data, but we still say there are no enough data available.

… but … Do we have a model for the entire basins?

Can we make a model by using globally available datasets?

Purpose:

The basic idea is to use globally available datasets to build large scale groundwater models for data-poor regions and furthermore to improve such models by using data from remote sensing information. We use the Rhine-Meuse basins as the test bed, because they contains ample data for verification.

Progress:

The early versions of the land surface and groundwater models have been assembled.

Although the models are only based on the globally available datasets, the results are promising (see the box below). The river discharges from the land surface model are quite reasonably well compared to the measurement data.

From the current groundwater model output, we can also identify seasonal and long term trend variations. However, some unrealistic trends are also identified. In some locations, the model is not able to capture seasonal variations. We hypothesize that this may be due to too little groundwater recharge provided by the land surface model.

Further investigation is still in progress at this moment.

Future work:

Surely, we will try to improve the current land surface and groundwater models and to fulfill all plans that have been drawn in the methodology section. These includes attempts to use remote sensing information to find model fallacies.

As part of the long term plans of this research (until August 2012), the future work will include:

- Dynamic (fully) coupling between the land surface model and the groundwater model.

- Model calibration. After having a fully coupled model, we will do a calibration procedure to adjust model parameters.

Model structure:

General Methodology: (see the diagram below)

We start by building a land surface model to estimate groundwater recharge and river discharge in the basins. The land surface model is based on the PCR-GLOBWB model (Van Beek and Bierkens, 2005, see the box on the right). Then, a groundwater model of the Rhine-Meuse basins is built using the MODFLOW model code (McDonald and Harbaugh et al, 1988). This groundwater model is only one layer model based on the global lithological map of Dürr et al (2005). Both land surface and groundwater model has the resolution of 30 arc-second (about 1 km in the equator).

The groundwater model is forced by the recharge and channel discharge as calculated from the land surface model. The land surface model itself is forced with climatological data from the ECMWF operational archive analysis (http://www.ecmwf.int/) for the period of 2000-2006, which most remote sensing data are available. To spin up the model, the monthly CRU datasets (Mitchell and Jones, 2005 and New et al, 2002) that are downscaled into daily resolution based on the ERA40 reanalysis datasets (Uppala et al, 2005) are used for the simulation in the period of 1970-1999.

Next, we will derive some information from remote sensing. Some thoughts that have been drawn are:

1. We will use the MODIS surface temperature time series to calculate maps of averages winter and summer surface temperature. Locations where this difference is small indicate zones with shallow water tables. Alternatively, we can also calculate a map of the temporal standard deviation of surface temperatures. Locations with small standard deviations are expected to have shallow water tables.

2. We will use the soil moisture products (e.g. AMSR-E and ERS/METOP). Using the similar way as mentioned in the first point, we can detect the occurrences of shallow groundwater table. Moreover, we can identify groundwater recharge areas because they should be associated with wet soils.

By comparing the model results and aforementioned information (from remote sensing), we can identify model fallacies. Based on such fallacies, we will try to improve the model structure and schematization.

At the end, the results of improved model will be compared to the observed piezometric heads.

1. Land surface model (PCR-GLOBWB, Van Beek and Bierkens, 2005)

loosely coupled 

4. Comparison and evaluation:

- Try to find model fallacies by (indirect) comparison.

- Try to improve model structure/schematization.

- In this stage, we will not focus on parameter values.

5. Model verification:

- Groundwater head measurement.

2. Groundwater model

in MODFLOW (McDonald and Harbaugh, 1988)

RECH ARG E

RIVER ST AG ES

3. Remote Sensing:

Temperature: MODIS

Soil moisture: AMSR-E, ERS/METOP Terrestrial storage: GRACE

FAO soil map

The FAO map is used to parameterize the upper sub-surface compartments of the land surface model.

Some parameters based on this map are moisture contents, hydraulic conductivities, soil depths, and storages.

47 pedon classes in the RM basin.

GLCC 2

land cover

The GLCC map version 2 (http://edc2.usgs.gov/glcc/glcc.php) is used to characterize the land cover. The parameters based on this map are fractional vegetation covers, leaf area indexes, and (plant-available) soil water holding capacities. These para- meters are used in canopies (interception) and upper sub-soils.

37 land cover classes in the RM basin

The dominant classes are crops and grasslands.

Non- and semi-consolidated sediments Mixed consolidated sedimentary rocks Siliciclastic sedimentary rocks

Basic volcanic rocks Complex rocks

Complex lithologies

Lithological

map (Dürr et al, 2005)

This simple lithological map will be used to parameterize the groundwater model (transmissivities and storage coefficients).

Forcing data

[climatological]

Precipitation January 1995 based on CRU TS 2.1

Precipitation 31 January 1995 based on ERA40 reanalysis

Digital

Elevation Map

Rivers and lakes derived from the digital elevation map The digital elevation map based on

the HYDROSHEDS datasets (Lehner et al, 2008).

Current result

Average groundwater head for the period of 1986-2000:

Lobith, The Netherlands (1)

elevation = +10 m; average head = +9.89 m

Groundwater head anomalies 1986-2000 (current model):

Borgharen, The Netherlands (2)

elevation = +42 m; average head = +41.64 m

Bogny-sur-Meuse, France (4)

elevation = +212 m; average head = +186.72 m

Corenne, Belgium (6)

elevation = +289 m; average head = +238.96 m

?

Oppenheim, Germany (3)

elevation = +179 m; average head = +96.78 m

Vluyn, Germany (5)

elevation = +30 m; average head = +30.83 m

?

Jan 1986 Dec 2000 Jan 1986 Dec 2000

Jan 1986 Dec 2000 Jan 1986 Dec 2000

Jan 1986 Dec 2000 Jan 1986 Dec 2000

River discharges 1986-2000 (current model):

0 1000 2000 3000 4000 5000 6000

1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000

data model - Rhine at Lobith (unit m3/s)

0 200 400 600 800 1000 1200 1400

1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000

data model - Meuse at Borgharen (unit m3/s) 1

2 4 3

5 6

Snow cover

QBf Canopy

Store 2 Store 1

Store 3

PREC E

pot

E

act

QDR

P QSf

P T

River ice

T

w

T

A

R

S

Snow/Rain QChannel

PREC E

pot

QChannel

T

A

R

S

Snow/Rain LH(E

pot

)

Q

The land surface PCR-GLOWB model (Van Beek and Bierkens, 2005) is a distributed model written in the meta-language of the PCRaster package.

There are two upper soil stores (1 and 2) and a groundwater store (3) in the model.

The drainage components corresponding to each stores are direct runoff (QDR), interflow (Qsf), and baseflow (Qbf). By routing all of these drain components through a drainage network, channel discharges can be known.

The evaporation (E) consists of interception, bare soil evaporation, and plant transpiration (T). The evaporation in open water bodies, such as lakes and wetlands, is also consideted. The water exchange between soil stores (P) consists of capillary rise and percolation/recharge.

Loosely coupling to MODFLOW:

The groundwater store in the PCR-GLOBWB is a simple linear reservoir. In this research, we try to replace it by a MODFLOW groundwater model. As the initial attempt, we perform a loosely coupling procedure as follows:

1) Firstly, the PCR-GLOBWB is used to calculate river discharges and groundwater recharges.

2) Then, a MODFLOW groundwater model is built and forced by the groundwater recharges and channel or river discharges calculated from the PCR-GLOBWB.

Overview of the current MODFLOW groundwater model:

The current version is still a very simple model. There is only one layer in the MODFLOW model. At this moment, we still assume one homogenous layer with the transmissivity kD = 100 m

2

/day and the storage coefficient = 15%.

The no-flow boundary condition is implemented surrounding the basins. In big lakes (e.g. Bodensee, Zurichsee, Neuchatel, Lucerne, etc.), we assume the constant water level condition.

We employ the river package (RIV) to simulate the discharges calculated from the land surface model. The river dimensions and hydraulic properties are derived from the digital elevation map and bankfull discharge condition analysis based of the land surface model output. The river stages are calculated by using the Manning formula.

The recharge package (RCH) is used to simulate the capillary rise and recharge calculated from the land surface model.

As the initial condition, we use the output of the steady state simulation. The steady state simulation itself is forced by the average groundwater recharge and average river discharge between 1986-2000 (from the land surface model output).

The stress period during transient simulation is a month (28- 31 days), while the time step is about a week (7-8 days).

Reference:

Dürr, H.H., Meybeck, M., Dürr, S.H. (2005): Lithologic composition of the earth’s continental surfaces derived from a new digital map emphasizing riverine material transfer. Global Biogeochemical Cycles 19, GB4S10.

ECMWF. The ECMWF operational analysis and forecasting system.

http://www.ecmwf.int/products/data/operational_system/

FAO (1995). The digital soil map of the world version 3.5. Rome. (CD-ROM).

Lehner, B., Verdin, K., Jarvis, A. (2008): New global hydrography derived from spaceborne elevation data. EOS, Transactions, AGU, 89(10): 93-94.

McDonald, M.G. and Harbaugh, A.W. (1988): A modular three-dimensional of finite difference groundwater flow model. USGS, Washington DC.

Mitchell, T.D. and Jones, P.D. (2005): An improved method of constructing a database of monthly climate observations and associated high-resolution grids. International Journal of Climatology, 25, 693–712.

New, M., Lister D., Hulme, M., Jones, P.D. (2002), A high-resolution data set of surface climate over global land areas. Climate Research Vol. 21: 1-25.

Uppala, S.M., et al. (2005): The ERA-40 re-analysis. Quarterly Journal of the Royal Meteorological Society 131, 2961–3012.

USGS EROS Data Center (2002): Global land cover characteristics database version 2.0. http://edc2.usgs.gov/glcc/globdoc2_0.php

Van Beek, L.P.H. and Bierkens, M.F.P. (2006): Base flow calibration in a global

hydrological model. AGU Fall meeting, San Francisco.

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