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Title:Analysis of liquid-waste injection wells in Illinois by mathematical models
Author(s):Heidari, Manoutchehr; Cartwright, Keros; Saylor, Paul E.
Contributor(s):University of Illinois at Urbana-Champaign; Illinois State Geological Survey
Water resource development
Water resource development--Illinois
Mass-transport equation
Flow equation
Mathematical modeling
Finite element method
Multi-layered systems
Solution of large set of linear equations
Adaptive-Chebyshev-factorization method
Abstract:This report contains the results of a preliminary theoretical study of the fate of liquid industrial wastes injected into deep geologic formations. The Jones and Laughlin Corporation well was used as a model and the geology of the area was idealized into a 15-layered homogeneous and an isotropic mathematical model. The finite element method was tested and proved to be an effective mathematical tool in the solution of the equation of flow. The flow and pressure build-up show that the rocks are capable of receiving greater volumes of waste than are now being injected without endangering the integrity of the aquifer or the confining layer.The mass-transport equation for large and complex ground-water reservoir systems was investigated, and it was concluded that the dispersion and diffusion parts of the equation are relatively insignificant, and under extreme conditions the dispersed zone will not be more than a few feet wide. Therefore, it was concluded that a more practical approach to the problem would be the solution of a system with a moving interface boundary in which mass transport results mainly from convection.To overcome difficulties encountered with computer time and memory in the solution of the mass-transport equation for large complex systems, an iterative method is proposed for the solution of the equations, which substantially reduces these difficulties.
Issue Date:1974-02-01
Publisher:University of Illinois at Urbana-Champaign. Water Resources Center
Genre:Report (Grant or Annual)
Sponsor:U.S. Department of the Interior
U.S. Geological Survey
Rights Information:Copyright 1974 Manoutchehr Heidari, Kero Cartwright, Paul E. Saylor
Date Available in IDEALS:2016-09-28

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