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2003 Course Applied Computational Techniques (Elective)

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Total No. of Questions : 10] [Total No. of Pages : 2 P1322 [3664]-313 B.E. (Petroleum Engineering) APPLIED COMPUTATIONAL TECHNIQUES (2003 Course) (Elective) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answers to the two sections should be written in separate answer books. 2) Attempt any three questions from each section. 3) Figures to the right indicate full marks. 4) Neat diagrams must be drawn wherever necessary. 5) Use of a electronic pocket calculator is allowed. 6) Assume suitable data, if necessary. SECTION - I Q1) a) Find the roots of the equation x4 + 3x2 + 2x 3 = 0, using Regula Falsi method. [6] b) Find the roots of the equation using x2 + xy = 10, y + 3xy2 = 57 by Newton Raphson method. [6] Give one example of linear and non linear equations in Petroleum Engineering. What do the roots represent? [4] c) Q2) Given the differential equation, y' = 2x2y + x, y(0) = 4, h = 0.1 a) Using Runge Kutta 4, find y(0.1). [6] b) Using Adams Bashforth Predictor Corrector Method find y(0.1). [8] c) Give two examples of differential equations in Petroleum Engineering. [2] Q3) Write a detailed note on software package in Petroleum Engineering Reservoir Simulation, with reference to data required, equations used. [18] P.T.O.

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