Nuclear magnetic resonance is a standard
tool used for the characterization
of oil- and gas-bearing geological formations, where the distribution
of exponential transverse relaxation times (T
2E) corresponding to 1H of fluids provides information
on porosity, pore size distribution, and even wettability. In source
rock reservoirs with organic-rich shales, signals from solid-like
components such as kerogen and bitumen contribute with a distribution
of Gaussian decays (T
2G). These signals
are combined with longitudinal relaxation measurements, and T
1–T
2 relaxation
maps are routinely used to characterize hydrocarbon reservoirs. Distinguishing
exponential and Gaussian contributions is not straightforward, and
several methods involving both novel pulse sequences and data processing
have been developed in recent years. We report a numerical method
to invert two-dimensional (2D) data acquired in the time domain to
render a 2D representation of the relaxation times of synthetic data
resembling those of source rock samples. A crossover between exponential
and Gaussian signals is proposed, and a test on the deviations of
known parameters is analyzed in a wide range of conditions. The proposed
method is robust in the determination of short-lived signals corresponding
to solid-like components.