A MODEL FOR THE CONSTANT-HEAD PUMPING TEST CONDUCTED IN VERTICALLY FRACTURED MEDIA

An analytical model for the constant-head pumping test is developed fo r a partially penetrating well that has a finite thickness skin, and i ntersects a single vertical fracture. In the model, the fracture is fu lly confined and flow occurs only in the fracture. The model is develo ped using Laplace transform and finite Fourier transform methods. The model is to be used for analysing well test data from vertically fract ured media and for verifying numerical models. Dimensionless curves ar e used to study the effects of a finite thickness skin and a partially penetrating wellbore. In the presence of a finite thickness skin, or a partially penetrating wellbore, a typical flow response for the cons tant-head pumping test has three distinct periods of flow correspondin g to small-, intermediate- and large-time. Small- and large-time appro ximations are presented for the model, For tests where the wellbore is fully penetrating, or the partial penetration ratio is known, these a pproximations can be used to analyse field data.