Exact solution of a key equation in a finite stellar atmosphere by the method of Laplace transform and linear singular operators

1980 ◽  
Vol 67 (2) ◽  
pp. 335-342 ◽  
Author(s):  
Rabindra Nath Das
Keyword(s):  
Exact Solution ◽  
Laplace Transform ◽  
Stellar Atmosphere ◽  
Singular Operators ◽  
Key Equation

Flow Mathematic Model and Exact Solution of Swabbing Wells’ Fluid Level Build up

2012 ◽  
Vol 524-527 ◽  
pp. 1418-1422
Author(s):  
Yan Chen ◽  
Xin Hai Wang ◽  
Feng Yang ◽  
Hai Min Xu ◽  
Bo Tao Liu
Keyword(s):  
Exact Solution ◽  
Laplace Transform ◽  
Bessel Function ◽  
Mathematic Model ◽  
Well Bore ◽  
Fluid Level ◽  
Type Curve ◽  
Skin Factor ◽  
Reservoir Flow

The fluid level of swabbing wells with packers or without packers is different from other wells’ when the swabbing wells are stopped swabbing, because the effect of gravity differentiation is obvious, which is used to calculate the sand face pressure. In the homogeny reservoir, flow mathematic model of build-up of fluid swabbing well in circular sealed stratum is built up under considering the well bore effect and skin factor. Then, the non-homogeneous equation’s exact solution in Laplace space of the model are acquired by using theory of Laplace transform and Bessel function ,then the chart of type curve and the matching of type curve are analyzed. Finally, the software of swabbing well’s fluid level build-up is developed which is used to calculate the formation parameters that are fitted the formation parameters calculated with other methods.

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