The pseudo 2-D relaxation model for obtaining T1-T2 relationships from 1-D T1 and T2 measurements of fluid in porous media

• NMR spin-lattice (T1) and spin-spin (T2) relaxation times and their inter-relation possess information on fluid behaviour in porous media. To elicit this information we utilize the pseudo 2-D relaxation model (P2DRM), which deduces the T1-T2 functional relationship from independent 1-D T1 and T2 measurements. Through model simulations we show empirically that the P2DRM accurately estimates T1-T2 relationships even when the marginal distributions of the true joint T1-T2 distribution are unknown or cannot be modeled. Estimates of the T1:. T2 ratio for fluid interacting with pore surfaces remain robust when the P2DRM is applied to simulations of rapidly acquired data. Therefore, the P2DRM can be useful in situations where experimental time is limited.

Nyckelord

Heterogeneity

Inverse-gamma distribution

Lognormal distribution

Magnetic resonance in porous media

Multidimensional distribution function

Relaxation correlation

Magnetic resonance

Nuclear magnetic resonance

Porous materials

Inverse gamma distribution

Log-normal distribution

Multidimensional distributions

Relaxation correlations

Distribution functions

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