Inverse modeling methods for indoor airborne pollutant tracking: Literature review and fundamentals

Indoor Air

Volumn 17, Issue 6, 2007, Pages 419-438

  Liu, X ^a   Zhai, Z ^a  

^a UCB 450   (United States)

Author keywords

Adjoint Probability Method; Indoor Environment Quality; Inverse Modeling; Source Identification

Indexed keywords

AIR QUALITY; COMPUTATIONAL FLUID DYNAMICS; INDOOR AIR POLLUTION; INVERSE PROBLEMS;

ADJOINT PROBABILITY METHOD; ADJOINTS; AIRBORNE POLLUTANTS; COMPUTATIONAL FLUID DYNAMICS MODELING; INDOOR ENVIRONMENTS QUALITIES; INDOOR POLLUTANTS; INVERSE MODELING METHODS; INVERSE MODELLING; PROBABILITY METHODS; SOURCES IDENTIFICATIONS;

AIR;

EID: 36749076954     PISSN: 09056947     EISSN: 16000668     Source Type: Journal    
DOI: 10.1111/j.1600-0668.2007.00497.x     Document Type: Article

References (67)

1. Akcelik, V., Biros, G., Ghattas, O., Long, K.R. Waanders, B.V. (2003) A variational finite element method for source inversion for convective-diffusive transport, Finite Elements Anal. Design, 39, 683 705.
2. Alapati, S. Kabala, Z.J. (2000) Recovering the release history of a groundwater contaminant via the non-linear least-squares estimation, Hydrol. Process, 14, 1003 1016.
3. Atmadja, J. Bagtzoglou, A.C. (2000) Groundwater pollution source identification using the backward beam equation method. In : Balkema, A.A. (ed.) Computational Methods for Subsurface Flow and Transport, Rotterdam, The Netherlands, 397 404.
4. Atmadja, J. Bagtzoglou, A.C. (2001) State of the art report on mathematical methods for groundwater pollution source identification, Environ. Forensics, 2, 205 214.
5. Bassett, G. Koenker, R. (1978) Asymptotic theory of least absolute error regression, J. Am. Stat. Assoc., 73, 618 622.
6. Berne, B.J. (1977) Statistical Mechanics, New York, Plenum Press.
7. Brand, K.P Small, M.J. (1995) Updating uncertainty in an integrated risk assessment: conceptual framework and methods, Risk Anal., 15, 719 731.
8. Buzbee, B.L. Carasso, A. (1973) On the numerical computation of parabolic problems for preceding times, Math. Comput., 27, 237 266.
9. Carasso, A. (1972) The backward beam equation: two A-stable schemes for parabolic problems, SIAM J. Numer. Anal., 9, 406 434.
10. Chen, Q. Xu, W. (1998) A zero-equation turbulence model for indoor airflow simulation, Energy Buildings, 28, 137 144.
11. Chen, Q. Zhai, Z. (2003) How realistic is CFD as a tool for indoor environment design and studies without experiment? In : Keynote paper, Proceedings of the 4th International Symposium on HVAC, Vol. 1, Beijing, Tsinghua University Press, 62 77.
12. Chin, D.A. Chittaluru, P.V.K. (1994) Risk management in wellhead protection, J. Water Resour. Plan. Manage., 120, 294 315.
13. Cornacchiulo, D., Bagtzoglou, A.C. Atmadja, J. (2002) Hydrologic inversion using marching-jury backward beam equation and quasi-reversibility methods. In : Proceedings of the 15th ASCE Engineering Mechanics Conference, New York City, NY, 2 5 June, Columbia University.
14. Dagan, G. Nguyen, V. (1989) A comparison of travel time and concentration approaches to modeling transport by groundwater, J. Contam. Hydrol., 4, 79 91.
15. DHHS (2005) Report of the Surgeon General's Workshop on Healthy Indoor Environment (January 12-13, 2005) National Institutes of Health, Department of Health and Human Services, Bethesda, MD. URL http://www.surgeongeneral.gov/ topics/indoorenv/pdf/HIEWorkshopBinder.pdf [accessed on 6 November 2007].
16. Dorgan, C.B., Dorgan, C.E., Kanarek, M.S. Willman, A.J. (1998) Health and productivity benefits of improved indoor air quality, ASHRAE Trans., 104, 4161.
17. Draper, N.R. Smith, H. (1966) Applied Regression Analysis, New York, John Wiley & Sons.
18. Draper, N.R. Smith, H. (1981) Applied Regression Analysis, New York, John Wiley & Sons.
19. Emmerich, S. (1997) Use of computational fluid dynamics to analyze indoor air quality issues (NISTIR 5997), Gaithersburg, MD, Building and Fire Research Laboratory, National Institute of Standards and Technology.
20. Fanger, P.O., Melikov, A.K., Hanzawa, H. Ring, J. (1989) Turbulence and draft, ASHRAE J., 31, 18 23.
21. Fisk, W.J. (2000) Health and productivity gains from better indoor environments and their relationship with energy efficiency, Annu. Rev. Energy Environ., 25, 537 566.
22. Friedr, J.B. (1978) Stable Solution - Inverse Problems, Braunschweig, Vieweg & Sohn Verlagsgesellschaft mbH.
23. Furbringer, J., Roulet, C. Borchiellini, R. (eds 1996) Evaluation of COMIS: Final Report (Annex 23: Multizone Airflow Modelling), International Energy Agency.
24. Gao, Y. Chen, Q. (2003) Coupling of a multi-zone airflow analysis program with a computational fluid dynamics program for indoor air quality studies. In : Proceedings of the 4th International Symposium on HVAC, Vol. 1, Beijing, Tsinghua University Press, 236 242.
25. Gorelick, S.M., Evans, B.E. Remson, I. (1983) Identifying sources of groundwater pollution: an optimization approach, Water Resour. Res., 19, 779 790. No. 3.
26. Griffith, B.T. (2002) Incorporating nodal and zonal room air models into building energy calculation procedures. Master Thesis, Cambridge, MA, Massachusetts Institute of Technology.
27. Jury, W.A. (1992) Simulation of solute transport using a transfer function model, Water Resour. Res., 18, 363 368.
28. Jury, W.A. Roth, K. (1990) Transfer Functions and Solute Movement Through Soil: Theory and Applications, Boston, MA, Birkhauser.
29. Kabala, Z.J. G. Sposito (1991) A stochastic model of reactive solute transport with time-varying velocity in a heterogeneous aquifer, Water Resour. Res., 27, 341 350.
30. Karter M.J. (2003) Fire loss in the United States during 2002, Fire Analysis & Research Division, National Fire Protection Association. URL http://www.nfpa.org/assets/files/pdf/OSfireloss02.PDF [accessed on 1 November 2007].
31. Keilis-Borok, V.J. Yanovskaya, T.B. (1967) Inverse problems of seismology (structural review), Geophys. J. R. Astr. Soc., 13, 223 234.
32. Liu, J. Wilson, J.L. (1995) Modeling travel time and source location probabilities in two-dimensional heterogeneous aquifier. In : Proceedings of the 5th Annual WERC Technology Development Conference, Las Cruces, NM, 59 76.
33. Mahar, P.S. Datta, B. (1997) Optimal monitoring network and ground-water pollution source identification, J. Water Res. Pl., 123, 199 207.
34. Mahar, P.S. Datta, B. (2000) Identification of pollution sources in transient groundwater systems, Water Res. Mananage., 14, 209 227.
35. Mahar, P.S. Datta, B. (2001) Optimal identification of groundwater pollution sources and parameter identification, J. Water Res. Pl., 127, 20 29.
36. Musser, A. (2001) An analysis of combined CFD and multizone IAQ model assembly issues, Atlanta, GA, ASHRAE Winter Meeting.
37. Neupauer, R.M. Wilson, J.L. (1999) Adjoint method for obtaining backward-in-time location and travel time probabilities of a conservative groundwater contaminant, Water Resour. Res., 35, 3389 3398.
38. Neupauer, R.M. Wilson, J.L. (2001) Adjoint-derived location and travel time probabilities for a multi-dimensional groundwater system, Water Resour. Res., 37, 1657 1668.
39. Nielsen, P.V. (1998) The selection of turbulence models for prediction of room airflow, ASHRAE Trans., SF-98-10-1.
40. Pelletret, R.Y. Keilholz, W.P. (1997) COMIS 3.0-a new simulation environment for multizone air flow and pollutant transport modeling. In : Proceedings of Building Simulation '97-Fifth International IBPSA Conference, Prague, International Building Performance Simulation Association.
41. Press, F. (1968) Earth models obtained by Monte-Carlo inversion, J. Geophys. Res., 73, 5223 5234.
42. Press, F. (1971) An introduction to Earth structure and seismotectonics. In : Coulomb, J. Caputo, M. (eds Proceedings of the International School of Physics Enrico Fermi, Course L, Mantle and Core in Planetary Physics, New York, Academic Press.
43. Saaty, T.L. (1981) Modern Nonlinear Equations, New York, Dover.
44. Schaelin, A., Dorer, V. et al. (1993) Improvement of multizone model predictions by detailed flow path values from CFD calculation, ASHRAE Trans., 93-7-4, 709 720.
45. Seber, G.A.F. Wild, C.J. (1989) Nonlinear Regression, New York, John Wiley & Sons.
46. Seibert, P. Stohl, A. (1999) Inverse modelling of the ETEX-1 release with a Lagrangian particle model, Ischia, Italy, Third GLOREAM Workshop.
47. Seibert, P., Frank, A. Kromp-Kolb, H. (2002) Inverse modelling of atmospheric trace substances on the regional scale with Lagrangian models. In : Midgley, P. Reuther, M. (eds). In : Proceedings of the EUROTRAC-2 Symposium 2002, Garmisch Partenkirchen, Germany, 11-15 March.
48. Skaggs, T.H. Kabala, Z.J. (1994) Recovering the release history of a groundwater contaminant, Water Resour. Res., 30, 71 79. No. 1.
49. Skaggs, T.H. Kabala, Z.J. (1995) Recovering the history of a groundwater contaminant plume: method of quasi-reversibility, Water Resour. Res., 31, 2669 2673.
50. Sohn, M.D., Small, M.J. Pantazidou, M. (2000) Reducing uncertainty in site characterization using Bayes Monte Carlo methods, J. Env. Eng., 126, 893 902.
51. Sohn, M.D., Reynolds, P., Gadgil, A.J. Sextro, R.G. (2002) Rapidly locating sources and predicting contaminant dispersion in buildings. In : Proceedings of the Indoor Air 2002 Conference, Monterey, CA, 30 June - 5 July.
52. Sohn, M.D., Sextro, R.G., Gadgil, A.J. Daisey, J.M. (2003) Responding to sudden pollutant release in office buildings: 1. Framework and analysis tools, Indoor Air, 13, 267 276.
53. Spengler, J.D. Chen, Q. (2000) Indoor air quality factors in designing a healthy building, Annu. Rev. Energy Environ., 25, 567 600.
54. Stuart, D. Walton, G.N. (2002) CONTAMW 2.0 User Manual - Multizone Airflow and Contaminant Transport Analysis Software, National Institute of Standards and Technology, Building and Fire Research Laboratory.
55. Sykes, J.F., Wilson, J.L. Andrwes, R.W. (1985) Sensitivity analysis for steady state groundwater flow using adjoint operators, Water Resour. Res., 21, 359 371.
56. Tarantola, A. (2004) Inverse Problem Theory and Methods for Model Parameter Estimation, Philadelphia, PA, Society for Industrial and Applied Mathematics.
57. Taylor, L.D. (1974) Estimation by minimizing the sum of absolute errors. In : Zarembka, P. (ed.) Frontiers in Econometrics, Academic Press, New York, 169 190.
58. Tikhonov, A.N. Arsenin, V.Y. (1977) Solutions of Ill-Posed Problems, New York, Winston and Sons.
59. Wagner, B.J. (1992) Simultaneously parameter estimation and contaminant source characterization for coupled groundwater flow and contaminant transport modeling, J. Hydrol., 135, 275 303.
60. Wang, L. Chen, Q. (2005) On solution characteristics of coupling of multizone and CFD programs in building air distribution simulation. In : Proceedings of Building Simulation 2005-the 9th International IBPSA Conference, Montréal, Canada, 15-18 August.
61. Wilson, J.L. Liu, J. (1994) Backward tracking the source of pollution, Waste Manage. Risk Remed., 1, 181 199.
62. Woodbury, A.D. Ulrych, T.J. (1996) Minimum relative entropy inversion: theory and application to recovering the release history of groundwater contaminant, Water Resour. Res., 32, 2671 2681. No. 9.
63. Woodbury, A., Sudicky, E., Ulrych, T.J. Ludwig, R. (1998) Three-dimensional plume source reconstruction using minimum relative entropy inversion, J. Contam. Hydrol., 32, 131 158.
64. Woods, J.E. (1989) Cost avoidance and productivity in owning and operating buildings, Occupat. Med. State Art Rev., 4, 753 770.
65. Zhai, Z., Srebric, J. Chen, Q. (2003) Application of CFD to predict and control chemical and biological agent dispersion in buildings, Int. J. Ventil., 2, 251 264.
66. Zhai, Z, Gao, Y. Chen, Q. (2004) Pressure boundary conditions in multi-zone and CFD program coupling. In : Proceedings of SimBuild 2004, IBPSA-USA National Conference, Boulder, CO, 4-6 August.
67. Zwillinger, D. (1989) Handbook of Differential Equations, 2nd edn, San Diego, CA, Academic.