Nonparametric estimation of groundwater residence time distributions: What can environmental tracer data tell us about groundwater residence time?

作者: James L. McCallum , Nicholas B. Engdahl , Timothy R. Ginn , Peter. G. Cook

DOI: 10.1002/2013WR014974

关键词:

摘要: Residence time distributions (RTDs) have been used extensively for quantifying flow and transport in subsurface hydrology. In geochemical approaches, environmental tracer concentrations are conjunction with simple lumped parameter models (LPMs). Conversely, numerical simulation techniques require large amounts of parameterization estimated RTDs certainly limited by associated uncertainties. this study, we apply a nonparametric deconvolution approach to estimate using concentrations. The model is based only on the assumption that steady enough observed well approximated linear superposition input RTD; is, convolution integral holds. Even concentration data, entire shape an RTD remains highly nonunique. However, accurate estimates mean ages some cases prediction young portions may be possible. most useful type data was found use series tritium. This due sharp variations atmospheric short half-life. CFC compounds smoothly varying more prone nonuniqueness. work highlights benefits limitations whole either LPMs or through simulation. ability developed here correct mixing biases appears promising.

参考文章(48)
Catherine Moore, John Doherty, Role of the calibration process in reducing model predictive error Water Resources Research. ,vol. 41, pp. 1- 14 ,(2005) , 10.1029/2004WR003501
Gregoire Mariethoz, Philippe Renard, Julien Straubhaar, The Direct Sampling method to perform multiple‐point geostatistical simulations Water Resources Research. ,vol. 46, pp. 1- 14 ,(2010) , 10.1029/2008WR007621
Eric M. LaBolle, Graham E. Fogg, Juana B. Eweis, Diffusive fractionation of 3H and 3He in groundwater and its impact on groundwater age estimates Water Resources Research. ,vol. 42, ,(2006) , 10.1029/2005WR004756
Gregoire Mariethoz, Bryce F. J. Kelly, Modeling complex geological structures with elementary training images and transform‐invariant distances Water Resources Research. ,vol. 47, ,(2011) , 10.1029/2011WR010412
Michael N. Fienen, Jian Luo, Peter K. Kitanidis, A Bayesian geostatistical transfer function approach to tracer test analysis Water Resources Research. ,vol. 42, ,(2006) , 10.1029/2005WR004576
Zijie Liao, Dennis Lemke, Karsten Osenbrück, Olaf A. Cirpka, Modeling and inverting reactive stream tracers undergoing two-site sorption and decay in the hyporheic zone Water Resources Research. ,vol. 49, pp. 3406- 3422 ,(2013) , 10.1002/WRCR.20276
Arash Massoudieh, Timothy R. Ginn, The theoretical relation between unstable solutes and groundwater age Water Resources Research. ,vol. 47, ,(2011) , 10.1029/2010WR010039
J. A. Corcho Alvarado, R. Purtschert, F. Barbecot, C. Chabault, J. Rueedi, V. Schneider, W. Aeschbach-Hertig, R. Kipfer, H. H. Loosli, Constraining the age distribution of highly mixed groundwater using 39Ar: A multiple environmental tracer (3H/3He, 85Kr, 39Ar, and 14C) study in the semiconfined Fontainebleau Sands Aquifer (France) Water Resources Research. ,vol. 43, pp. 1- 16 ,(2007) , 10.1029/2006WR005096