Lagrange Multiplier Method for Drilling Oil Reservoir

Vasant P

Abstract

Casing is one of the basic process in drilling the petroleum out of the reservoir. Steel is widely used in casing because of its durability and corrosion resistance. Since the petroleum business is at peak nowadays, one can observed many oil rigs on shore and o وٴ -shore throughout the world. Many theories are being used in petroleum exploration, extraction and production. One of them is Lagrange Multiplier method. In mathematical optimization, the method of Lagrange multipliers (named Dіer Joseph Louis Lagrange (2, 3)) is a strategy for finding the local maxima and minima of an objective function subject to equality constraints. Lagrange multiplier is used when some constraints are faced in the working process. An example of the use of Lagrange Multiplier in casing instalment in an oil rig. Нe use of the theory is presented from the economic aspect of view. In this problem, a steel casing is to be installed. Let‟s say the labour cost for the instalment is 20$ per hour.