Study of The Behaviour of Fluid Particles in Spherical Region using Diffusion Magnetic Resonance Imaging Equation

Abstract

In the petroleum industry, Nuclear Magnetic Resonance (NMR) technology has been applied in several ways to provide vital information about petro-physical properties of reservoirs. However, there is need to study the molecular behaviours of particles that form the fluids in a reservoir. In this research work, diffusion magnetic resonance equation has been applied in spherical coordinates and solved analytically using the method of separation of variables and solution of Legendre equation by Frobenius method. The fluids considered in this research work are glycerine, kerosene and water. From the results obtained, it can be deduced that Magnetization of each fluid decreases as radial adjustment decreases. Also, the decrease in radial adjustment enhanced the vibration of each fluid but later declined at some points. The relaxation points of kerosene and water are at the same radial adjustment with the Magnetization values (1.33 and 2.3 ) but that of glycerine differs with the Magnetization values of (2.9 ), On the whole, glycerine relaxed faster than kerosene and water.