Abstract
The goal is to build up an inverse model capable of finding the release history of atmospheric pollution by using measured gas concentration data at just one location on the ground and identify the factors which affects the accuracy of the model predictions. The problem involves a non-steady point source of pollution at a known location in the atmosphere. This problem of finding the release rate is an ill-posed inverse problem and its solution is extremely sensitive to errors in the measurement data. Special regularisation methods, which stabilise the process of the solution, must be used to solve the problem. The method described in this paper is based on linear least-squares regression and Tikhonov regularisation, coupled with the solution of an advection-diffusion equation for a non-steady point source. The accuracy of the method is examined by imposing normally-distributed relative noise into the concentration data generated by the forward model as well as some real experimental data.
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References
C.P. Hansen, Rank-Deficient and Discrete Ill-Posed Problems (SIAM, Philadelphia, PA, 1997).
C.P. Hansen, Regularization tools: A MATLAB package for analysis and solution of discrete ill-posed problems, Danish Computing Center for Research and Education (1993).
P. Kathirgamanathan, R. McKibbin and R.I. McLachlan, Source term estimation of pollution from an instantaneous point source, MODSIM 6(2) (2001) 1013-1018.
J. Kovorkian, Partial Differential Equations: Analytical Solution Techniques (Chapman & Hall, London, 1993).
C. Liu and W.P. Ball, Application of inverse methods to contaminant source identification from aquifard diffusion profiles at Dover AFB, Delaware, Water Resources Research 35(7) (1999) 1975-1985.
E. Palazzi, M.D. Faveri, G. Fumarola and G. Ferraiolo, Diffusion from a steady source of short duration, Atmospheric Environment 16(12) (1982) 2785-2790.
K.V. Parchevsky, Using regularizing algorithms for reconstruction of growth rate from experimental data, Ecological Modelling 133(7) (2000) 107-115.
T.H. Skaggs and J.K. Kabala, Recovering the release history of a ground water contaminant using a non-linear least squares method, Water Resources Research 30(1) (1994) 71-79.
T.H. Skaggs and J.K. Kabala, Recovering the history of a ground water contaminant plume: method of quasi-reversibility, Water Resources Research 31(11) (1995) 2669-2673.
T.H. Skaggs and J.K. Kabala, Recovering the release history of a ground water contaminant, Hydrological Process 14(1) (2000) 1003-1016.
D.M. Trujillo and H.R. Busby, Practical Inverse Analysis in Engineering (CRC Press, Boca Raton, New York, 1997).
D.S. Wratt, M.J. Salinger, T.S. Clarkson and B.W. Imrie, Airflow and pollution dispersion in a valley, New Zealand Meteorological Service, Scientific Report, 4 (1984).
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Kathirgamanathan, P., McKibbin, R. & McLachlan, R.I. Source Release-Rate Estimation of Atmospheric Pollution from a Non-Steady Point Source at a Known Location. Environmental Modeling & Assessment 9, 33–42 (2004). https://doi.org/10.1023/B:ENMO.0000020888.37955.ef
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DOI: https://doi.org/10.1023/B:ENMO.0000020888.37955.ef