APPLICATION OF LAPLACE TRANSFORMATION TO THE ANALYSIS OF AN UNDERGROUND CIRCULAR CYLINDRICAL RESERVOIR
DOI:
https://doi.org/10.4314/njt.292.66Keywords:
Laplace transformation, underground reservoir, cylindrical shellAbstract
Analysis of underground circular cylindrical shell is carried out in this work. The forth order differential equation of equilibrium, comparable to that of beam on elastic foundation, was derived from static principles on the assumptions of P. L Pasternak. Laplace transformation was used to solve the governing differential equation at critical condition. The Greenwich contour formula was successfully used to determine the inverse transform of the obtained subsidiary equation. The final solution was found to agree with that obtained using the classical method. The Laplace transformation appeared to be less tedious and more time saving than the classical method in the solution of the aforementioned differential equation.
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