Library Subscription: Guest

Groundwater Parameter Estimation by Optimization and Dual Reciprocity Finite Differences Method

Volume 8, Issue 2, 2005, pp. 211-223
DOI: 10.1615/JPorMedia.v8.i2.80
Get accessGet access

ABSTRACT

A new solution method called the dual reciprocity finite differences method (DRFDM) is proposed. The method combines the finite differences method and optimization technique, and can be implemented in a spreadsheet to solve groundwater parameter estimation problems. In the DRFDM model, the hydraulic heads and transmissivities in the solution domain are obtained using limited hydraulic heads and/or transmissivities. The method is implemented as an objective function. Three different scenarios are examined. A set of transmissivities are used in the first scenario. In the second scenario, only hydraulic heads are used. In the third scenario, both transmissivities and hydraulic heads are used in an objective function. A spreadsheet solver is used as an optimization tool. Two examples taken from literature are used to verify the method; one of which has an analytical solution, and the other has not. Good agreement between the DRFDM model output and both analytical and observed values is obtained only when limited transmissivity values or both hydraulic heads and transmissivity values are known. The presented method was not effective in the studied cases in which only hydraulic heads were known.

CITED BY
  1. Karahan Halil, Solution of weighted finite difference techniques with the advection-diffusion equation using spreadsheets, Computer Applications in Engineering Education, 16, 2, 2008. Crossref

  2. Karahan Halil, Ayvaz M. Tamer, Simultaneous parameter identification of a heterogeneous aquifer system using artificial neural networks, Hydrogeology Journal, 16, 5, 2008. Crossref

  3. Ayvaz M. Tamer, Simultaneous determination of aquifer parameters and zone structures with fuzzy c-means clustering and meta-heuristic harmony search algorithm, Advances in Water Resources, 30, 11, 2007. Crossref

  4. Ayvaz M. Tamer, Karahan Halil, Aral Mustafa M., Aquifer parameter and zone structure estimation using kernel-based fuzzy c-means clustering and genetic algorithm, Journal of Hydrology, 343, 3-4, 2007. Crossref

  5. Ayvaz M. Tamer, Kayhan Ali Haydar, Ceylan Huseyin, Gurarslan Gurhan, Hybridizing the harmony search algorithm with a spreadsheet ‘Solver’ for solving continuous engineering optimization problems, Engineering Optimization, 41, 12, 2009. Crossref

  6. Karahan Halil, Unconditional stable explicit finite difference technique for the advection–diffusion equation using spreadsheets, Advances in Engineering Software, 38, 2, 2007. Crossref

  7. Karahan Halil, Implicit finite difference techniques for the advection–diffusion equation using spreadsheets, Advances in Engineering Software, 37, 9, 2006. Crossref

  8. GAO Yan-hui, ZHU Ke-jun, Hybrid PSO-Solver algorithm for solving optimization problems, Journal of Computer Applications, 31, 6, 2012. Crossref

  9. Karahan Halil, A third-order upwind scheme for the advection–diffusion equation using spreadsheets, Advances in Engineering Software, 38, 10, 2007. Crossref

  10. Tamer Ayvaz M., Karahan Halil, Modeling three-dimensional free-surface flows using multiple spreadsheets, Computers and Geotechnics, 34, 2, 2007. Crossref

  11. Smaoui Hassan, Zouhri Lahcen, Ouahsine Abdellatif, Carlier Erick, Modelling of groundwater flow in heterogeneous porous media by finite element method, Hydrological Processes, 26, 4, 2012. Crossref

  12. Luo Zhaoming, Wang Guangjun, Chen Hong, Decentralized fuzzy inference method for estimating thermal boundary condition of a heated cylinder normal to a laminar air stream, Computers & Mathematics with Applications, 66, 10, 2013. Crossref

  13. Eryiğit Miraç, Estimation of parameters in groundwater modelling by modified Clonalg, Journal of Hydroinformatics, 23, 2, 2021. Crossref

  14. Karahan Halil, Gurarslan Gurhan, Geem Zong Woo, Parameter Estimation of the Nonlinear Muskingum Flood-Routing Model Using a Hybrid Harmony Search Algorithm, Journal of Hydrologic Engineering, 18, 3, 2013. Crossref

  15. Karahan Halil, Closure to “Parameter Estimation of the Nonlinear Muskingum Flood-Routing Model Using a Hybrid Harmony Search Algorithm” by Halil Karahan, Gurhan Gurarslan, and Zong Woo Geem, Journal of Hydrologic Engineering, 19, 4, 2014. Crossref

  16. Chen Yifeng, Hong Jiamin, Tang Shaolong, Zhou Chuangbing, Characterization of transient groundwater flow through a high arch dam foundation during reservoir impounding, Journal of Rock Mechanics and Geotechnical Engineering, 8, 4, 2016. Crossref

Forthcoming Articles

ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections Prices and Subscription Policies Begell House Contact Us Language English 中文 Русский Português German French Spain