Finding
A simple formula for the optimal perforation density is given if the specific inflow to the well is made constant, which is desirable if the delay of gas or water cresting is a consideration.
Paper
Analytic modelling of selectively perforated horizontal wells
Citations: 27
Full text
Semantic ScholarAbstract
Abstract Dikken presented a simple model for the inflow performance of a horizontal well, taking into account the pressure drop along the length of the wellbore. This paper describes several enhancements to the model. It is shown that the solution to the mathematical model may be written analytically in terms of a special function, eliminating the need for numerical integration. The specific productivity of the well is allowed to vary along its length, to mimic a variation in perforation density and formation permeability. If the productivity is piece-wise constant, then the analytic formulae can be used in each segment of the well, allowing easy incorporation of the model into a reservoir simulator. A simple formula for the optimal perforation density is given if the specific inflow to the well is made constant, which is desirable if the delay of gas or water cresting is a consideration. Finally, the problem of modifying the Dikken inflow model to include full Darcy flow in the reservoir and partial penetration is discussed.
Authors
M. Landman
Journal
Journal of Petroleum Science and Engineering