Inderscience Publishers

Hydrocarbon reserves exploration by real–time expert seismology and non–linear singular integral equations

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By using a non–linear 3–D elastic waves real–time expert system, the new theory of 'real–time expert seismology' is proposed, for the exploration of the on–shore and off–shore oil and gas reserves all over the world. This highly innovative and groundbreaking technology is working under real time logic for searching the on–shore and off–shore petroleum reserves developed on the continental crust and in deeper water ranging from 300 m to 2,500 m, or even deeper. Furthermore, for the determination of the properties of the reservoir materials, when oil reserves mixed with water in multiphase flows are moving through porous media, a new mathematical device is proposed. The above problem is very much important for petroleum reservoir engineering and the oil industry. Hence, such a problem is reduced to the solution of a non–linear singular integral equation, which is numerically evaluated by using the singular integral operators method (SIOM). Also, several properties are analysed and investigated for the porous medium equation, defined as a Helmholtz differential equation. [Received: February 28, 2012; Accepted: March 18, 2012]

Keywords: real–time expert seismology, singular integral operator method, SIOM, nonlinear integral equations, singular integral equations, oil reserves, gas reserves, porous media, multiphase flow, petroleum reservoir engineering, Helmholtz differential equations, real–time expert systems, real–time logic, generic technology, hydrocarbons, oil industry

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