Mathematical model of viscous petroleum fluid for consequential migration in porous solid

Viscous fluid transport or crude natural petroleum migration in a form of the laminar flow of incompressible fluids and hydrocarbon classification are principal to study the mass flow rate according to Darcy' s law and Hagen-Poiseuille law. Natural petroleum classification is concerned for its migration from a reservoir to underground surface. Its chemical aspect can be categorized into hydrocarbon as paraffinic, intermediate paraffinic, aromatic, and asphaltic classes, in the ratio of 5:10:4:1, respectively. Its property signifies two types of paraffinic and intermediate classes. The volumetric flow rates implicate to petroleum migration which refers to hydrocarbon classifications. These indicate possibility of migration with the mass flow of hydrocarbon class. Correlation of their volumetric flow rates can appraise the configuration of the volumetric flow rates as a function of mass of flow rates with three classifications: typical crude oil, heavy crude oil, bitumen. Crude petroleum classes are bitumen to heavy crude oil, and can be anticipated a progress of the migration zones of heavy crude oil, heavy crude oil-bitumen, and bitumen zone. Consequently, assessment results expose that the slow volumetric flow rates associate to petroleum migration, pressure depths, and crude petroleum classification. Copyright (C) 2018 The Authors. Published by Elsevier Ltd.