The Grouting Diffusion Model of Power-Law Fluid in Single Fracture

Abstract:

Based on the Hele-Shaw smooth flat model, the theoretical model of the diffusion radius-time relationship of the power-law fluid in single fracture plate model can be deduced according to the force balance of fluid micro element in cylindrical coordinate, the rheological equation of power-law fluid and the equation of mass conservation. The calculation procedures of the derived theoretical model are compiled by applying the Matlab software, and are employed to analyze the affecting elements of diffusion. The results show that the slurry diffusion radius is widened with the increase of the fracture apertures, the grouting pressure difference and the grouting time; and the bigger the water cement ratio, the easier the grouting spreads under the equivalent fracture opening conditions. The grouting infection efficiency in the early stage is much higher than that of the later stage, and reduces with the increase of the diffusion radius, which is in accord with the rule of the grouting in practice. The Grouting Diffusion Model will serve as a theoretical basis for the cement grout with low water cement ration in the fractured rock.

• Periodical: Applied Mechanics and Materials (Volumes 477-478)
• Pages: 524-530
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.477-478.524
• Online since: December 2013
• Authors: Wei Zhang
• Keywords: Diffusion Model, Penetration Grouting, Power-Law Grout, Single Fracture

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