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Study on analytical solution of rock salt special dissolution rate model

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Document pages: 8 pages

Abstract: By calculating the concentration distribution of rock salt solution in the boundary layer, in order to study the dissolution mechanism of rock salt under transient stable conditions, an ordinary differential equation describing the special dissolution rate model of rock salt is established under the assumption of transient diffusion process. Then the ordinary differential equation is solved mathematically, and the analytical solutions and related expressions of dissolution radius and solution concentration are given. Then, the analytical solution is fitted by using the transient dissolution test data of rock salt, the dissolution parameters at different flow rates are given, and the physical significance of the analytical formula is discussed. Finally, the influencing factors are analyzedanalytical formula were investigated. There was approximately a linear relationship between the dissolution parameters and the flow rate. The effects of the dissolution area and initial volume of the solution on the dissolution rate equation of rock salt were computationally investigated. The results showed that the present analytical solution gives a good description of the dissolution mechanism of rock salt under some special conditions, which may provide a primary theoretical basis and an analytical way to investigate the dissolution characteristics of rock salt.

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