Numerical modeling of biologically reactive transport near nutrient injection well

A reactive, radial-transport model to simulate biological processes near a nutrient injection well is presented. An improved numerical procedure that incorporates the attractive features of Eulerian-Lagrangian and reaction-operator split methods is used to solve the model. The numerical procedure is efficient, stable, and mass conserving. An in-situ biostimulation model incorporating aerobic kinetics is solved to demonstrate the usefulness of the modeling procedure and to study the sensitivity of biomass distribution to variations in biokinetic parameters. The resulting mathematical model adequately describes near-well biological processes under varying conditions. The sensitivity analysis shows that the microbial detachment and attachment processes are important transport parameters that control biomass distribution in an aquifer. The results strongly suggest that other expressions that describe these processes and their relationship to growth rate should be examined.

[1]  Mary F. Wheeler,et al.  An Operator-Splitting Method for Advection-Diffusion-Reaction Problems , 1987 .

[2]  Stewart W. Taylor,et al.  ENHANCED IN-SITU BIODEGRADATION AND AQUIFER PERMEABILITY REDUCTION , 1991 .

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

[4]  Robert L. Street,et al.  Numerical Simulation of Mixed-Culture Biofilm , 1984 .

[5]  Stewart W. Taylor,et al.  Biofilm growth and the related changes in the physical properties of a porous medium: 1. Experimental investigation , 1990 .

[6]  Fritz Stauffer,et al.  Modeling of reactive groundwater transport governed by biodegradation , 1994 .

[7]  Stewart W. Taylor,et al.  Substrate and biomass transport in a porous medium , 1990 .

[8]  Brian S. Hooker,et al.  Evaluation of bacterial detachment rates in porous media , 1995 .

[9]  George M. Hornberger,et al.  Bacterial transport in porous media: Evaluation of a model using laboratory observations , 1992 .

[10]  B. Peyton,et al.  A statistical analysis of the effect of substrate utilization and shear stress on the kinetics of biofilm detachment , 1993, Biotechnology and bioengineering.

[11]  Stewart W. Taylor,et al.  Biofilm growth and the related changes in the physical properties of a porous medium. 3. Dispersivity and model verification. , 1990 .

[12]  Stewart W. Taylor,et al.  Biofilm growth and the related changes in the physical properties of a porous medium: 2. Permeability , 1990 .

[13]  Alfred B. Cunningham,et al.  Influence of Biofilm Accumulation on Porous Media Hydrodynamics , 1991 .

[14]  Michael A. Celia,et al.  Contaminant transport and biodegradation: 2. Conceptual model and test simulations , 1989 .

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

[16]  P. Bedient,et al.  Transport of dissolved hydrocarbons influenced by oxygen‐limited biodegradation: 1. Theoretical development , 1986 .

[17]  M. Yavuz Corapcioglu,et al.  Microbial transport in soils and groundwater: A numerical model , 1985 .

[18]  Charles F. Harvey,et al.  Aquifer remediation: A method for estimating mass transfer rate coefficients and an evaluation of pulsed pumping , 1994 .

[19]  Philippe C. Baveye,et al.  An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers , 1989 .

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

[21]  Lewis Semprini,et al.  Comparison Between Model Simulations and Field Results for In‐Situ Biorestoration of Chlorinated Aliphatics: Part 1. Biostimulation of Methanotrophic Bacteria , 1991 .

[22]  Donald R. F. Harleman,et al.  Dispersion in radial flow from a recharge well , 1967 .

[23]  chia-shyun Chen Analytical and Approximate Solutions to Radial Dispersion From an Injection Well to a Geological Unit With Simultaneous Diffusion Into Adjacent Strata , 1985 .

[24]  Linda R. Petzold,et al.  Algorithms and software for ordinary differential equations and differential-algebraic equations, part II: higher-order methods and software packages , 1995 .

[25]  Clifford W. Randall,et al.  Biological process design for wastewater treatment , 1980 .

[26]  Fred J. Molz,et al.  A numerical transport model for oxygen‐ and nitrate‐based respiration linked to substrate and nutrient availability in porous media , 1988 .

[27]  S. N. Milford,et al.  Eulerian‐Lagrangian Solution of the Convection‐Dispersion Equation in Natural Coordinates , 1984 .

[28]  F. Molz,et al.  Simulation of Microbial Growth Dynamics Coupled to Nutrient and Oxygen Transport in Porous Media , 1986 .

[29]  Bruce E. Rittmann,et al.  The significance of biofilms in porous media , 1993 .