3He NMR in porous media: Inverse Laplace transformation

TL;DR

This paper introduces the application of inverse Laplace transform to analyze 3He relaxation in porous media, revealing new insights into pore size distributions using NMR techniques.

Contribution

It is the first to apply inverse Laplace transform for 3He relaxation analysis in porous media, demonstrating its effectiveness in extracting pore size distributions.

Findings

Inverse Laplace transform provides new information about 3He relaxation.

Uniform-penalty algorithm successfully obtains relaxation time distributions.

Pore size distributions can be inferred using the proposed model.

Abstract

For the first time the inverse Laplace transform was applied for analysis of 3He relaxation in porous media. It was shown that inverse Laplace transform gives new information about these systems. The uniform-penalty algorithm has been performed to obtain the 3He relaxation times distribution in pores of clay sample. It is possible to obtain pores' sizes distribution by using applicable model. Keywords: inverse Laplace transform, uniform-penalty algorithm, liquid 3He, 3He, He3, He-3, helium-3, pulse nuclear magnetic resonance, clay, porous media.