ANALYTICAL SOLUTION TO 2-DIMENSIONAL AXISYMMETRICAL GAS-FLOW WITH KLINKENBERG EFFECT

The gas-slippage phenomenon of gas permeability, commonly known as the Klinkenberg effect, has been neglected in the analysis of gas flow. I n this work, an exact analytical solution to the gas flow in a two-dim ensional axisymmetric-flow domain with anisotropic gas permeability th at includes the Klinkenberg effect is presented. The solution is also extended to provide an analytical expression for the stream function. The results suggest that the Klinkenberg effect is important with low- permeable materials such as clay and silt. The errors involved in negl ecting the Klinkenberg effect are highest at the well and are reduced with the radial distance.