Magnetic field gradients, generated as the magnetic response of solids and liquids to an applied field, directly affect the lineshapes and spin-spin relaxation time (T2) in Nuclear Magnetic Resonance (NMR) experiments and, therefore, the interpretation of fluid content in porous rocks. This paper presents a numerical study of pulse NMR spectra and T2 relaxation of fluids under realistic magnetic field gradients using the software COMSOL. Two physics sections are coupled: first, the internal magnetic field gradient is calculated in the whole system, comprising the solid matrix and a fluid mixture of brine and oil inside. Then, in the second, the NMR signal of the liquids, the Free Induction Decay (FID), is obtained by solving the Bloch–Torrey–MacConnell equations over the pore volume. The calculation of the NMR spectrum follows from the FID Fourier Transform (FFT). For the T2 calculations, a CPMG sequence is built by concatenating different studies. The obtained T2 reproduces the bulk value of the relaxation time, the dependence on the pore radii, and the relaxivity value correctly. Different magnetic properties, coupling parameters, pore sizes, and geometries are considered.
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