Article ID Journal Published Year Pages File Type
507828 Computers & Geosciences 2012 7 Pages PDF
Abstract

A general analytical solution is derived by using the Laplace transformation to describe transient reactive silica transport in a conceptualized 2-D system involving a single fracture embedded in an impervious host rock matrix. This solution differs from previous analyses in that it takes into account both hydrodynamic dispersion and advection of silica transport along the fracture, and hence takes the form of an infinite integral. Several illustrative calculations are undertaken to confirm that neglecting the dispersion term may lead to erroneous silica distribution along the fracture and within the host matrix, and the error becomes severe with a smaller rate of fluid flow in the fracture. The longitudinal dispersion is negligible only at steady state or when the flow rate in the fracture is higher. The analytical solution can serve as a benchmark to validate numerical models that simulate reactive mass transport in fractured porous media.

▶ An analytical solution was developed to describe reactive silica transport in fractured medium. ▶ Solution is subject to all diffusive and dispersive processes of silica transport. ▶ Solution is unique since it can deal with different reaction rates for both fracture and matrix.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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