Reducing the impact of a desalination plant using stochastic modeling and optimization techniques

Summary Water is critical for economic growth in coastal areas. In this context, desalination has become an increasingly important technology over the last five decades. It often has environmental side effects, especially when the input water is pumped directly from the sea via intake pipelines. However, it is generally more efficient and cheaper to desalt brackish groundwater from beach wells rather than desalting seawater. Natural attenuation is also gained and hazards due to anthropogenic pollution of seawater are reduced. In order to minimize allocation and operational costs and impacts on groundwater resources, an optimum pumping network is required. Optimization techniques are often applied to this end. Because of aquifer heterogeneity, designing the optimum pumping network demands reliable characterizations of aquifer parameters. An optimum pumping network in a coastal aquifer in Oman, where a desalination plant currently pumps brackish groundwater at a rate of 1200 m 3 /h for a freshwater production of 504 m 3 /h (insufficient to satisfy the growing demand in the area) was designed using stochastic inverse modeling together with optimization techniques. The Monte Carlo analysis of 200 simulations of transmissivity and storage coefficient fields conditioned to the response to stresses of tidal fluctuation and three long term pumping tests was performed. These simulations are physically plausible and fit the available data well. Simulated transmissivity fields are used to design the optimum pumping configuration required to increase the current pumping rate to 9000 m 3 /h, for a freshwater production of 3346 m 3 /h (more than six times larger than the existing one). For this task, new pumping wells need to be sited and their pumping rates defined. These unknowns are determined by a genetic algorithm that minimizes a function accounting for: (1) drilling, operational and maintenance costs, (2) target discharge and minimum drawdown (i.e., minimum aquifer vulnerability) and (3) technical feasibility of the solution. The performance of the optimum pumping network is compared to that of a synthetic, tradition-based hand-delineated design, where optimization is not performed. Results show that the combined use of stochastic inverse modeling and optimization techniques leads to minimum side effects (e.g., drawdowns in the area are reduced substantially) and to a significant reduction of allocation and operational costs.

[1]  Andres Alcolea,et al.  Regularized pilot points method for reproducing the effect of small scale variability : Application to simulations of contaminant transport , 2008 .

[2]  David P. Ahlfeld,et al.  Optimal management of flow in groundwater systems , 2000 .

[3]  Jesus Carrera,et al.  Stream‐Stage Response Tests and Their Joint Interpretation with Pumping Tests , 2006, Ground water.

[4]  Andres Alcolea,et al.  Inversion of heterogeneous parabolic-type equations using the pilot points method , 2006 .

[5]  S. Gorelick,et al.  Optimal groundwater quality management under parameter uncertainty , 1987 .

[6]  S. P. Neuman,et al.  Estimation of aquifer parameters under transient and steady-state conditions: 2 , 1986 .

[7]  Albert Tarantola,et al.  Inverse problem theory - and methods for model parameter estimation , 2004 .

[8]  J. Carrera,et al.  Geostatistical inversion of coupled problems: dealing with computational burden and different types of data , 2003 .

[9]  X. Sanchez‐Vila,et al.  An evaluation of Jacob's Method for the interpretation of pumping tests in heterogeneous formations , 1998 .

[10]  N. Chan Robustness of the multiple realization method for stochastic hydraulic aquifer management , 1993 .

[11]  Andres Alcolea,et al.  Pilot points method incorporating prior information for solving the groundwater flow inverse problem , 2006 .

[12]  Gabriel Bugeda Castelltort Utilización de técnicas de estimación de error y generación automática de mallas en procesos de optimización estructural , 1990 .

[13]  J. Carrera,et al.  Inverse Modeling of Coastal Aquifers Using Tidal Response and Hydraulic Tests , 2007, Ground water.

[14]  B. Wagner Recent advances in simulation-optimization groundwater management modeling (95RG00394) , 1995 .

[15]  J. G. Ferris Cyclic fluctuations of water level as a basis for determining aquifer transmissibility , 1952 .

[16]  S. Gorelick A review of distributed parameter groundwater management modeling methods , 1983 .

[17]  A. Tarantola Popper, Bayes and the inverse problem , 2006 .

[18]  W. Li,et al.  Two‐dimensional characterization of hydraulic heterogeneity by multiple pumping tests , 2007 .

[19]  David W. Watkins,et al.  Finding Robust Solutions to Water Resources Problems , 1997 .

[20]  K. Filipova,et al.  Genetic algorithms - synthesis of finite state machines , 2004, 27th International Spring Seminar on Electronics Technology: Meeting the Challenges of Electronics Technology Progress, 2004..

[21]  Jiu Jimmy Jiao,et al.  Numerical Simulation of Pumping Tests in Multilayer Wells with Non‐Darcian Flow in the Wellbore , 1999 .

[22]  Tobias Siegfried,et al.  A multiobjective discrete stochastic optimization approach to shared aquifer management: Methodology and application , 2006 .

[23]  Andrés Sahuquillo,et al.  Joint simulation of transmissivity and storativity fields conditional to steady-state and transient hydraulic head data , 1999 .

[24]  Manoutchehr Heidari,et al.  Applications of Optimal Hydraulic Control to Ground-Water Systems , 1994 .

[25]  Philippe Renard,et al.  Stochastic Hydrogeology: What Professionals Really Need? , 2007, Ground water.

[26]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[27]  Nathan Chan,et al.  Partial Infeasibility Method for Chance‐Constrained Aquifer Management , 1994 .

[28]  C. Johnston,et al.  Pumping Test Analysis for a Tidally Forced Aquifer , 1998 .

[29]  E. Delyannis,et al.  Historic background of desalination and renewable energies , 2003 .

[30]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[31]  J. Eheart,et al.  Aquifer remediation design under uncertainty using a new chance constrained programming technique , 1993 .

[32]  Jesús Carrera,et al.  Optimal design of measures to correct seawater intrusion , 2006 .

[33]  A. Mantoglou Pumping management of coastal aquifers using analytical models of saltwater intrusion , 2003 .

[34]  M. J. Hvorslev Time lag and soil permeability in ground-water observations , 1951 .

[35]  Gabriel Bugeda Utilización de técnicas de estimación de error y generación automática de mallas en procesos de optimización estructural , 1990 .

[36]  S. P. Neuman,et al.  Estimation of Aquifer Parameters Under Transient and Steady State Conditions: 3. Application to Synthetic and Field Data , 1986 .

[37]  Leslie Smith,et al.  Parameter space methods in joint parameter estimation for groundwater flow models , 1998 .

[38]  A. Cheng,et al.  Pumping optimization in saltwater‐intruded coastal aquifers , 2000 .

[39]  Phil Dickie Making water: desalination: option of distraction for a thrirsty world? , 2007 .

[40]  L. Feyen,et al.  Reliable groundwater management in hydroecologically sensitive areas , 2004 .