Evaluating the sensitivity of a subsurface multicomponent reactive transport model with respect to transport and reaction parameters.

The input variables for a numerical model of reactive solute transport in groundwater include both transport parameters, such as hydraulic conductivity and infiltration, and reaction parameters that describe the important chemical and biological processes in the system. These parameters are subject to uncertainty due to measurement error and due to the spatial variability of properties in the subsurface environment. This paper compares the relative effects of uncertainty in the transport and reaction parameters on the results of a solute transport model. This question is addressed by comparing the magnitudes of the local sensitivity coefficients for transport and reaction parameters. General sensitivity equations are presented for transport parameters, reaction parameters, and the initial (background) concentrations in the problem domain. Parameter sensitivity coefficients are then calculated for an example problem in which uranium(VI) hydrolysis species are transported through a two-dimensional domain with a spatially variable pattern of surface complexation sites. In this example, the reaction model includes equilibrium speciation reactions and mass transfer-limited non-electrostatic surface complexation reactions. The set of parameters to which the model is most sensitive includes the initial concentration of one of the surface sites, the formation constant (Kf) of one of the surface complexes and the hydraulic conductivity within the reactive zone. For this example problem, the sensitivity analysis demonstrates that transport and reaction parameters are equally important in terms of how their variability affects the model results.

[1]  J. McConnell,et al.  Heterogeneous reactions in a stratospheric box model: A sensitivity study , 1994 .

[2]  A. Valocchi,et al.  Calculation of reaction parameter sensitivity coefficients in multicomponent subsurface transport models , 2000 .

[3]  Albert J. Valocchi,et al.  Numerical Solution Techniques for Reaction Parameter Sensitivity Coefficients in Multi-component Sub-surface Transport Models (HES 59) , 1998 .

[4]  Peter Engesgaard,et al.  A geochemical transport model for redox-controlled movement of mineral fronts in groundwater flow systems: A case of nitrate removal by oxidation of pyrite , 1992 .

[5]  Michael D. Dettinger,et al.  First order analysis of uncertainty in numerical models of groundwater flow part: 1. Mathematical development , 1981 .

[6]  C. Zheng,et al.  Natural Attenuation of BTEX Compounds: Model Development and Field‐Scale Application , 1999, Ground water.

[7]  D. Tortorelli,et al.  Design sensitivity analysis: Overview and review , 1994 .

[8]  Jesús Carrera,et al.  State of the Art of the Inverse Problem Applied to the Flow and Solute Transport Equations , 1988 .

[9]  F. Morel Principles of Aquatic Chemistry , 1983 .

[10]  Nancy J. Brown,et al.  First- and Second-Order Sensitivity Analysis of a Photochemically Reactive System (a Green's Function Approach) , 1997 .

[11]  John M. Mulvey,et al.  Contaminated groundwater remediation design using simulation, optimization, and sensitivity theory: 1. Model development , 1988 .

[12]  W. Mcternan,et al.  Model Uncertainty and Parameter Sensitivity in Linear Retardance Formulations , 1991 .

[13]  Wolfgang Kinzelbach,et al.  Numerical Modeling of Natural and Enhanced Denitrification Processes in Aquifers , 1991 .

[14]  Massimo Morbidelli,et al.  A generalized criterion for parametric sensitivity: application to a pseudohomogeneous tubular reactor with consecutive or parallel reactions , 1989 .

[15]  L. Townley,et al.  Computationally Efficient Algorithms for Parameter Estimation and Uncertainty Propagation in Numerical Models of Groundwater Flow , 1985 .

[16]  A. Kiureghian,et al.  Reliability analysis of contaminant transport in saturated porous media , 1994 .

[17]  Albert J. Valocchi,et al.  Accuracy of operator splitting for advection‐dispersion‐reaction problems , 1992 .

[18]  Todd H. Skaggs,et al.  Sensitivity Methods for Time‐Continuous, Spatially Discrete Groundwater Contaminant Transport Models , 1996 .

[19]  Jeanne M. VanBriesen,et al.  Multicomponent transport with coupled geochemical and microbiological reactions: model description and example simulations , 1998 .

[20]  C. Steefel,et al.  Approaches to modeling of reactive transport in porous media , 1996 .

[21]  Matthias Kohler,et al.  Experimental Investigation and Modeling of Uranium (VI) Transport Under Variable Chemical Conditions , 1996 .

[22]  V. S. Tripathi,et al.  A critical evaluation of recent developments in hydrogeochemical transport models of reactive multichemical components , 1989 .

[23]  Kinetics of reactions occurring in the unpolluted troposphere, II. Sensitivity analysis , 1990 .

[24]  Cass T. Miller,et al.  Alternative split-operator approach for solving chemical reaction/groundwater transport models , 1996 .

[25]  Herschel Rabitz,et al.  Elementary sensitivity of a chemical reactor described by a quasihomogeneous bidimensional model , 1994 .

[26]  C. Steefel,et al.  A coupled model for transport of multiple chemical species and kinetic precipitation/dissolution rea , 1994 .

[27]  R. W. Andrews,et al.  Sensitivity Analysis for Steady State Groundwater Flow Using Adjoint Operators , 1985 .

[28]  Cass T. Miller,et al.  Temporal discretisation errors in non-iterative split-operator approaches to solving chemical reaction/groundwater transport models , 1996 .

[29]  Carl I. Steefel,et al.  Reactive transport in porous media , 1996 .

[30]  Hwai-Ping Cheng,et al.  Development and demonstrative application of a 3-D numerical model of subsurface flow, heat transfer, and reactive chemical transport : 3DHYDROGEOCHEM , 1998 .

[31]  James E. Szecsody,et al.  Groundwater flow, multicomponent transport and biogeochemistry: development and application of a coupled process model , 2000 .

[32]  Carl D. McElwee,et al.  Sensitivity of groundwater models with respect to variations in transmissivity and storage , 1978 .

[33]  W. E. Stewart,et al.  Sensitivity analysis of initial value problems with mixed odes and algebraic equations , 1985 .