title: Three-state analytic theory of two-dimensional nuclear magnetic resonance in systems with coupled macro- and micropores.
abstract: Two-dimensional (2D) nuclear magnetic resonance (NMR) experiments involve a sequence of longitudinal (T(1)) and transverse (T(2)) measurements. In a previous paper we showed that if each of these 1D measurements can be represented by two exponential decays then there can be an accurate analytic solution for the 2D measurements with no additional information. In this paper we extend the theory to the case where there are three decay channels for the 1D measurements. The resulting analytic theory introduces a single free parameter, which is a rotation angle in the vector space spanned by the normal modes. Our predictions agree quite well with numerical results based on the microporous grain consolidation (μGC) model. The theory allows one to deduce information about decay modes in situations in which they may not be measurable in a conventional 1D measurement because the amplitude of that mode is too small.
authors.affiliation: Schlumberger Doll Research, One Hampshire Street, Cambridge, Massachusetts 02139, USA.
authors.forename: David Linton
authors.initials: DL
authors.lastname: Johnson
authors.affiliation: Schlumberger Doll Research, One Hampshire Street, Cambridge, Massachusetts 02139, USA.
authors.forename: Lawrence M
authors.initials: LM
authors.lastname: Schwartz