Abstract:
The determination of the dispersion and adsorption parameters (either for the Freundlich or Langmuir adsorption isotherm models) can be determined by optimising the matching of the numerical solution of the adsorption-convection dispersion equation with the experimental effluent curves measured on displacement tests in core material using multivariable optimisation techniques. The numerical solutions are obtained by solving the convection-dispersion-nonlinear adsorption equation by finite differences using the Crank-Nicolson method with iterations to account for nonlinearities. The optimisation routines are used to find the parameters that give the global minimum error between predicted and measured effluent curves. The results show that whenever the three parameters (the dispersion coefficient and two adsorption parameters) are simultaneously determined, the solution is not unique and depends on the adsorption model used. The nonuniqueness can be removed by performing an independent test such as a static adsorption test. © 1993.
Registro:
Documento: |
Artículo
|
Título: | On the simultaneous determination of dispersion and nonlinear adsorption parameters from displacement tests by using numerical models and optimisation techniques |
Autor: | Grattoni, C.A.; Dawe, R.A.; Bidner, M.S. |
Filiación: | Mineral Resources Engineering, Imperial College, London, SW7 2AZ, United Kingdom Laboratorio de Ingenieria de Reservorios, Universidad de Buenos Aires, Pabellon Industrias, Ciudad Universitaria, 1428 Buenos Aires, Argentina
|
Palabras clave: | adsorption; dispersion; displacement tests; numerical models; Optimization techniques; parameters; adsorption/dispersion; displacement test; numerical model; optimisation; parameter determination; solute transport; Adsorption; Dispersions; Finite difference method; Materials testing; Mathematical models; Nonlinear equations; Optimization; Parameter estimation; Porous materials; Adsorption-convection dispersion equation; Crank-Nicolson method; Displacement tests; Effluent curves; Freundlich adsorption isotherms; Langmuir adsorption isotherms; Multivariable optimization technique; Flow of fluids; Adsorption; Dispersion; Modelling-Mathematical; Models; Numerical; Optimization |
Año: | 1993
|
Volumen: | 16
|
Número: | 2
|
Página de inicio: | 127
|
Página de fin: | 135
|
DOI: |
http://dx.doi.org/10.1016/0309-1708(93)90003-X |
Título revista: | Advances in Water Resources
|
Título revista abreviado: | Adv. Water Resour.
|
ISSN: | 03091708
|
CODEN: | AWRED
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03091708_v16_n2_p127_Grattoni |
Referencias:
- Baker, Effects of dispersion and dead-end pore volume in miscible flooding (1977) Soc. Pet. Eng. J., 17, p. 219
- Bastian, Lapidus, Longitudinal diffusion in ion exchange and chromatographic columns, finite column (1956) J. Phys. Chem., 60, p. 816
- Batycky, Maini, Fisher, Simulation of miscible displacement in full-diameter carbonate cores (1982) Soc. Pet. Eng. J., 22, p. 647
- Brenner, The diffusion model of longitudinal mixing in beds of finite length, numerical values (1962) Chem. Eng. Sci., 17, p. 229
- Brigham, Peed, Dew, Experiments on Mixing During Miscible Displacement in Porous Media (1961) Society of Petroleum Engineers Journal, 1, p. 1
- Cameron, Klute, Convective-dispersive solute transport with a combined equilibrium and kinetic adsorption model (1977) Water Resour. Res., 13, p. 183
- Carpano, Grattoni, Gabbanelli, Bidner, Análisis de las soluciones numéricas de la ecuación de convección-dispersión-adsorción (1987) Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingenieria, 3, p. 389
- Coats, Smith, Dead-End Pore Volume and Dispersion in Porous Media (1964) Society of Petroleum Engineers Journal, 4, p. 73
- Coppola, Levan, Adsorption with axial diffusion in shallow beds (1938) Chem. Eng. Sci., 38, p. 991
- Deans, A Mathematical Model for Dispersion in the Direction Of Flow in Porous Media (1963) Society of Petroleum Engineers Journal, 3, p. 49
- Gabbanelli, Grattoni, Bidner, Miscible flow through porous media with dispersion and adsorption (1987) Advances in Water Resources, 10, p. 149
- Gill, Murray, Wright, (1981) Practical Optimisation, , Academic Press, New York
- Grattoni, Rosen, Chertcoff, Bidner, Use of radioisotopes to measure concentration distributions inside porous media during displacement tests (1987) Chem. Eng. Sci., 42, p. 2055
- Gupta, Greenkorn, Determination of dispersion and nonlinear adsorption parameters for flow in porous media (1974) Water Resour. Res., 10, p. 839
- Gupta, Greenkorn, Dispersion during flow in porous media with bilinear adsorption (1973) Water Resour. Res., 9, p. 1957
- Harris, Weaver, The transmission of nerve signals along the axon: A mathematical simulation (1966) Chem. Eng. Prog. Symp. Series, 62, p. 109
- Kowalik, Osborne, (1968) Methods for Unconstrained Optimisation Problems, , American Elsevier Publishing Co, New York
- Kreft, Zuber, On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions (1978) Chem. Eng. Sci., 33, p. 1971
- Lapidus, Amundson, Mathematics of adsorption in beds (1952) J. Phys. Chem., 56, p. 984
- Parker, van Genuchten, Flux averaged and volume averaged concentrations in continuum approaches to solute transport (1984) Water Resour. Res., 20, p. 866
- Perkins, Johnston, A Review of Diffusion and Dispersion in Porous Media (1963) Society of Petroleum Engineers Journal, 3, p. 70
- Powell, An efficient method for finding the minimum of a function of several variables without calculating derivatives (1964) The Computer Journal, 7, p. 155
- Satter, Shum, Adams, Davis, Chemical transport in porous media with dispersion and rate-controlled adsorption (1980) Soc. Pet. Eng. J., 20, p. 129
- Smith, Keller, Nonlinear sorption effects on the determination of diffusion-sorption parameters (1985) Ind. Eng. Chem. Fundam., 24, p. 497
- Szabo, Some aspects of polymer retention in porous media using C-tagged hydrolyzed polyacrylamide (1975) Soc. Pet. Eng. J., 15, p. 323
- Vossoughi, Smith, Green, Wilhite, A new method to simulate the effects of viscous fingering on miscible displacement processes in porous media (1984) Soc. Pet. Eng. J., 24, p. 56
Citas:
---------- APA ----------
Grattoni, C.A., Dawe, R.A. & Bidner, M.S.
(1993)
. On the simultaneous determination of dispersion and nonlinear adsorption parameters from displacement tests by using numerical models and optimisation techniques. Advances in Water Resources, 16(2), 127-135.
http://dx.doi.org/10.1016/0309-1708(93)90003-X---------- CHICAGO ----------
Grattoni, C.A., Dawe, R.A., Bidner, M.S.
"On the simultaneous determination of dispersion and nonlinear adsorption parameters from displacement tests by using numerical models and optimisation techniques"
. Advances in Water Resources 16, no. 2
(1993) : 127-135.
http://dx.doi.org/10.1016/0309-1708(93)90003-X---------- MLA ----------
Grattoni, C.A., Dawe, R.A., Bidner, M.S.
"On the simultaneous determination of dispersion and nonlinear adsorption parameters from displacement tests by using numerical models and optimisation techniques"
. Advances in Water Resources, vol. 16, no. 2, 1993, pp. 127-135.
http://dx.doi.org/10.1016/0309-1708(93)90003-X---------- VANCOUVER ----------
Grattoni, C.A., Dawe, R.A., Bidner, M.S. On the simultaneous determination of dispersion and nonlinear adsorption parameters from displacement tests by using numerical models and optimisation techniques. Adv. Water Resour. 1993;16(2):127-135.
http://dx.doi.org/10.1016/0309-1708(93)90003-X