Abstract: To simulate surface Nuclear Magnetic Resonance (NMR) signal efficiently and accurately, kernel function can be computed from the known values at certain nodes as few as possible by means of continuous fraction interpolation. Numerical results of a single aquifer embedded into free space show that the combination of Gaussion quadrature and continuous fraction interpolation can speed up surface NMR simulation without losing accuracy.

Key words: surface NMR, forward simulation, numerical integration, continuous fraction interpolation