Abstract
This paper has answered several questions on the multi-lateral horizontal well productivity formulas. Firstly, the fact that the potential at the crack equals zero, which is a key step in the process of structuring the multi-lateral horizontal well productivity formulas, has been rigorously proved through complex analysis. Secondly, the difference between the two “q” appearing in the process of structuring the multi-lateral horizontal well productivity formulas has been identified clearly. Thirdly, the transformation of the permeability from the isotropic to the anisotropic and the reason of using the equivalent well diameter have been demonstrated.
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