RI 6546 Theory and Application of Dimensional and Inspectional Analysis to Model Study of Fluid Displacements in Petroleum Reservoirs

Both Dimensional and Inspectional Analysis are developed from fundamental concepts , and dimensionless groups are derived which represent the viscous , capillary , and gravitational forces existing in two - phase , incompressible flow in petroleum reservoirs . It is shown how properly scaled models may be devised by means of the foregoing groups . Laboratory measurements with such models faithfully duplicate the behavior of the reservoir on a miniature dimensional and compressed time scale , and when all the pertinent variables are evaluated , the model is a most effective tool for the study of complex fluid displacements in the reservoir . Applying the Principle of Similitude , it is shown how dimensionally scaled models are applied to various types of reservoir displacements : ( 1 ) Oil displaced by water , ( 2 ) gas displaced by water , and ( 3 ) miscible displacement . The special case of water displacing gas by imbibition is analyzed , and it is shown that the dimensionally scaled model must be fabricated of sandstone rather than unconsolidated sand , which is generally used in such models . This report is intended to be a review and summary of the application of Dimensional Analysis to reservoir displacement problems for those who are beginning the study of this useful and interesting method .