Polynomial Solutions of Bloch NMR Flow Equations for Classical andQuantum Mechanical Analysis of Fluid Flow in Porous Media

In many NMR experiments it is noticed that liquids confined in porous materials exhibit properties that are dif- ferent from those of the bulk fluid. Determining the relationship between macroscopic properties and the microscopic structure of porous materials and their components has been difficult. Despite decades of study, researchers' understand- ing is generally limited to empirical correlations based on laboratory measurements. Only recently have researchers been able to calculate a few of the macroscopic physical properties of rocks from first principles. In this contribution, we have presented polynomial solutions of the Bloch NMR flow equations for classical and quantum mechanical analysis of po- rous media applicable in oil and gas industry. The NMR polynomials are derived based on the condition that

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