Characterization of groundwater contaminant source using Bayesian method

Contaminant source identification in groundwater system is critical for remediation strategy implementation, including gathering further samples and analysis, as well as implementing and evaluating different remediation plans. Such problem is usually solved with the aid of groundwater modeling with lots of uncertainty, e.g. existing uncertainty in hydraulic conductivity, measurement variance and the model structure error. Monte Carlo simulation of flow model allows the input uncertainty onto the model predictions of concentration measurements at monitoring sites. Bayesian approach provides the advantage to update estimation. This paper presents an application of a dynamic framework coupling with a three dimensional groundwater modeling scheme in contamination source identification of groundwater. Markov Chain Monte Carlo (MCMC) is being applied to infer the possible location and magnitude of contamination source. Uncertainty existing in heterogonous hydraulic conductivity field is explicitly considered in evaluating the likelihood function. Unlike other inverse-problem approaches to provide single but maybe untrue solution, the MCMC algorithm provides probability distributions over estimated parameters. Results from this algorithm offer a probabilistic inference of the location and concentration of released contamination. The convergence analysis of MCMC reveals the effectiveness of the proposed algorithm. Further investigation to extend this study is also discussed.

[1]  Bradley P. Carlin,et al.  Bayesian Methods for Data Analysis , 2008 .

[2]  M. Rivett,et al.  A controlled field experiment on groundwater contamination by a multicomponent DNAPL: creation of the emplaced-source and overview of dissolved plume development. , 2001, Journal of contaminant hydrology.

[3]  Jean-François Giovannelli,et al.  Contaminant source estimation in a two-layers porous environment using a Bayesian approach , 2007, 2007 IEEE International Geoscience and Remote Sensing Symposium.

[4]  R. Ababou,et al.  Implementation of the three‐dimensional turning bands random field generator , 1989 .

[5]  Ranji S. Ranjithan,et al.  A parallel evolutionary strategy based simulation–optimization approach for solving groundwater source identification problems , 2009 .

[6]  Paul P. Wang,et al.  MT3DMS: A Modular Three-Dimensional Multispecies Transport Model for Simulation of Advection, Dispersion, and Chemical Reactions of Contaminants in Groundwater Systems; Documentation and User's Guide , 1999 .

[7]  Bill X. Hu,et al.  Using data assimilation method to calibrate a heterogeneous conductivity field and improve solute transport prediction with an unknown contamination source , 2009 .

[8]  Hui Wang,et al.  Bayesian update method for contaminant source characterization in water distribution systems. , 2013 .

[9]  W. K. Hastings,et al.  Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .

[10]  Wenguo Weng,et al.  Source identification for unsteady atmospheric dispersion of hazardous materials using Markov Chain Monte Carlo method , 2009 .

[11]  Adrian F. M. Smith,et al.  Sampling-Based Approaches to Calculating Marginal Densities , 1990 .

[12]  J. Bear Hydraulics of Groundwater , 1979 .

[13]  H. Redkey,et al.  A new approach. , 1967, Rehabilitation record.

[14]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[15]  P. Kitanidis,et al.  Parameter estimation in nonlinear environmental problems , 2010 .

[16]  C J Duffy,et al.  Dimension reduction and source identification for multispecies groundwater contamination. , 2001, Journal of contaminant hydrology.

[17]  Zi Li,et al.  Global multiquadric collocation method for groundwater contaminant source identification , 2011, Environ. Model. Softw..

[18]  Ilhan Olmez,et al.  A new approach to understanding multiple-source groundwater contamination: Factor analysis and chemical mass balances , 1994 .

[19]  Amvrossios C. Bagtzoglou,et al.  Pollution source identification in heterogeneous porous media , 2001 .

[20]  B. Carlin,et al.  Diagnostics: A Comparative Review , 2022 .

[21]  Barry J. Adams,et al.  Methodology for Bayesian Belief Network Development to Facilitate Compliance with Water Quality Regulations , 2010 .

[22]  Ranji S. Ranjithan,et al.  A genetic algorithm-based procedure for 3D source identification at the Borden emplacement site , 2009 .

[23]  Sylvia Richardson,et al.  Markov Chain Monte Carlo in Practice , 1997 .

[24]  T. Ptak,et al.  Quantification of groundwater contamination in an urban area using integral pumping tests. , 2004, Journal of contaminant hydrology.

[25]  Hesham M. Bekhit,et al.  Using Markov Chain Monte Carlo to quantify parameter uncertainty and its effect on predictions of a groundwater flow model , 2009, Environ. Model. Softw..

[26]  David J. Spiegelhalter,et al.  Introducing Markov chain Monte Carlo , 1995 .