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On Modeling Tailings Deposition: Analytical and Numerical Methods

Journal Name:

  • International Journal of Science and Engineering Investigations

Publication Year:

  • 2012

Key Words:

Author Name
Abstract (2. Language): 
One of the main goals of Science is to model nature’s behavior by means of mathematical equations. Such equations tend to ratify some of the basic notions one has about a given phenomena. Conservation of mass, continuity of fluids and equilibrium of phases are some of these “intrinsic” properties which are related to the physical interpretation of a given phenomenon. This way, while considering tailings deposition, the latter must satisfy field equations regarding conservation of the solid phase besides continuity and equilibrium of the liquid phase. In the present paper, a rigorous mathematical approach to the modeling of the main characteristics of tailings is presented. In short, an analytical solution deduced by means of Laplace transform is compared to numerical solutions based on finite differences method, Lax-Wendroff method and the Cubically Interpolated Pseudo-particle (CIP) method. It is shown that CIP method overcomes the problem of spurious numerical dissipation induced by the other numerical methods analyzed. Also, a study of case is done and the numerical solution closely matches the observed experimental data
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  • 7
64-70
  • English

REFERENCES

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