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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. Q4) a) Write an algorithm for solving an integration using trapezoidal rule.[7] b) Write an algorithm for solving an integration using Gauss Quadrature. [7] Give two examples of numerical integration in Petroleum Engineering.[2] c) Q5) Do only one iteration for the problem below and use (1,1,1) as the starting value. For the system of equations 3x 0.1y 0.2z = 0, 0.1x 7y 0.3z = 6, 0.3x 0.2y + 10z = 2, find x,y,z using SOR method and LU Decomposition method w = 1.1. [16] SECTION - II Q6) a) b) Explain database management and its application. What is spatial contiguity analysis? [14] [4] Q7) a) b) Explain networking and various types of networks. [8] Explain with two examples an application of networking in Petroleum field. [8] Q8) a) b) Explain fuzzy logic, genetic algorithm and AI in Petroleum Industry.[8] Explain object oriented programming. [8] Q9) a) Explain the various forms of Inheritance and write a programme for the following problem using Inheritance. Create class PI containing variables q, Pr, and Pwf and find J. Inherit the class PI. J = q/(Pr Pwf), [10] FE = (Pr Pwf dp)/(Pr Pwf). b) Explain the concept of classes. [6] Q10)a) Explain the use of Petroleum Engineering Software in real time oil industry. [10] b) Draw the flow chart to explain any one Petroleum Engineering Software. [6] vvvv [3664]-313 2

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