Flow Rate of the Radial Injection of Cement Mix in a Rock Fracture

Abstract

A parametric relation to the radial injection of cement mix in a rock fracture is sought in the framework of the first order expansion of the lubrication model. The first order expansion challenges the zero order expansion leading to a solution that satisfies the mass and momentum equations and energy balance in its integral form. A closed form relation for the flow rate is deduced from the analytic solution. The flow rate relation has a useful application. It transforms the spread objective during grouting into a flow rate objective.