NMR has become one of the most important techniques for porous media studies in recent years. In particular, its application in petroleum exploration has been enhanced by the recent progress in NMR well-logging techniques for characterization of both rocks and fluids. Such advanced techniques are increasing being accepted as a valuable logging service especially in the technically challenging areas, such as deep-sea exploration. The continuous rise of global demand for energy and the difficulty of significantly increasing production capacity have made such oil reservoirs much more attractive. As a result, there is an urgent need of advanced technologies for better reservoir characterization and enhancing oil recovery. This talk will outline the recent MR development on two-dimensional NMR, MRI of rocks, and the mathematics of Laplace inversion.