FILTRATION TO A VERTICAL WELL FROM A BROKEN-DOWN FORMATION IN THE CASE OF SHORT FRACTURES

Consideration has been given to the problem of achieving a steady-state regime in the process of the well operation at a constant pressure drop between bottom-hole and formation values, and also, at a constant fl ow rate. It has been assumed that in a fracture resulting from the conduct of hydraulic formation fracturing and existing inside the well supply contour, there is uniform pressure, i.e., the characteristic times of the well operation exceed signifi cantly the periods during which the disturbances from the well affect the entire fracture. Appropriate estimates are presented for these characteristic periods depending on the fi ltration and geometric parameters of the fracture and formation, and also, on the properties of the fl uid. Accurate and approximate analytical solutions have been constructed describing the fi ltration fl ows in the "well–fracture–formation" system that make it possible to determine the pressure evolution, the well fl ow rate, and the dynamics of the well operation in achieving a steady-state regime. Formulas have been obtained determining the well fl ow rate (analogs of the Dupuit formula). Critical conditions have been proposed for the fracture extent and the supply contour radius, when hydraulic fracturing results in a substantial increase in the well fl ow rate at a steady-state regime
   
Author:  V. Sh. Shagapov, I. R. Khamidullin and Z. M. Nagaeva
Keywords:  hydraulic fracturing, well, fracture, fi ltration, pressure distribution, fl ow rate, integrodifferential equation
Page:  1363