Geophysical Research Abstracts
Vol. 14, EGU2012-PREVIEW, 2012
EGU General Assembly 2012
© Author(s) 2012
Lumpy - an interactive Lumped Parameter Modeling code based on MS
Access and MS Excel.
A. Suckow
Leibniz Institute for Applied Geophysics (LIAG), S3: Isotope Hydrology & Geochronology, Hannover, Germany
(axel.suckow@liag-hannover.de)
Several tracers for dating groundwater (
18
O/
2
H,
3
H, CFCs, SF
6
,
85
Kr) need lumped parameter modeling (LPM) to
convert measured values into numbers with unit time. Other tracers (T/
3
He,
39
Ar,
14
C,
81
Kr) allow the computation
of apparent ages with a mathematical formula using radioactive decay without defining the age mixture that any
groundwater sample represents. Also interpretation of the latter profits significantly from LPM tools that allow for-
ward modeling of input time series to measurable output values assuming different age distributions and mixtures
in the sample.
This talk presents a Lumped Parameter Modeling code, Lumpy, combining up to two LPMs in parallel. The code
is standalone and freeware. It is based on MS Access and Access Basic (AB) and allows using any number of mea-
surements for both input time series and output measurements, with any, not necessarily constant, time resolution.
Several tracers, also comprising very different timescales like e.g. the combination of
18
O, CFCs and
14
C, can be
modeled, displayed and fitted simultaneously. Lumpy allows for each of the two parallel models the choice of the
following age distributions: Exponential Piston flow Model (EPM), Linear Piston flow Model (LPM), Dispersion
Model (DM), Piston flow Model (PM) and Gamma Model (GM). Concerning input functions, Lumpy allows delay-
ing (passage through the unsaturated zone) shifting by a constant value (converting
18
O data from a GNIP station
to a different altitude), multiplying by a constant value (geochemical reduction of initial
14
C) and the definition
of a constant input value prior to the input time series (pre-bomb tritium). Lumpy also allows underground tracer
production (
4
He or
39
Ar) and the computation of a daughter product (tritiugenic
3
He) as well as partial loss of
the daughter product (partial re-equilibration of
3
He). These additional parameters and the input functions can be
defined independently for the two sub-LPMs to represent two different recharge areas. For a user defined choice of
up to five parameters (mean residence times and dispersion parameters of the two sub-LPM plus the mixing ratios
of the two models) the best fit can be determined. Fits can be assessed using different methods for the Goodness
Of Fit.
Input and output data are send to MS Excel for interactive display of modeling result and comparison with mea-
surements. Excel only serves as data display; computations are performed in AB throughout. Lumpy allows display
of time series and any combination of tracer vs. tracer plot. In the latter, the possible output data space assessable
by the input variables can be displayed, to check if any of the model combinations under consideration is able to
explain the measured data. Comparison and fit to measurements is possible after each of the two sub-models and
after mixing these two. The talk will demonstrate the usefulness of this approach with examples from the Croatian
Karst (Babinka 2007), the Fischa tracer test (Stolp et al., 2010) and the 30 years monthly tritium time series of the
Danube (Aggarwal et al., 2010).
References:
Aggarwal, P.K., Araguas-Araguas, L., Gröning, M., Newman, B., Kurttas, T., Papesch, W., Rank, D., Suckow, A.,
Vitvar, T. 2010. Long-term tritium monitoring to study river basin dynamics: case of the Danube River basin. EGU
General Assembly 12 EGU2010-11775.
Babinka, S. 2007. Multi-Tracer Study of Karst Waters and Lake Sediments in Croatia and Bosnia-Herzegovina:
Plitvice Lakes National Park and Bihac Area. PhD thesis, Universität Bonn.
Stolp, B. J., Solomon, D. K., Suckow, A., Vitvar, T., Rank, D., Aggarwal, P. K., Han, L.-F. 2010. Age dating base
flow at springs and gaining streams using helium-3 and tritium: Fischa-Dagnitz system, southern Vienna Basin,
Austria. Water Resources Research 46, DOI: 10.1029/2009WR008006.