ESTIMATION OF PERMEABILITY IN POROUS MATERIALS USING STACKED CAPILLARY MODEL

• Main Author: Dumastio Yeremia Marlan, Rivel
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/65801
• Institution: Institut Teknologi Bandung

One of the microscopic modeling that can be done to estimate the permeability of porous materials is to reconstruct the porous media properly so that it represents the porous material under study. In this final project, a study of the permeability estimation of a porous material model made by using the tiered capillary bundle model is carried out. This model is based on the arrangement of capillary tubes with diameter pore segments connected to small diameter pore segments, which are generated randomly. This technique produces a porous network that conforms the pore space measured by mercury intrusion porosimetry. The permeability estimate is obtained by equating Darcy's law and a combination of Poiseuille's and Knudsen's laws. The real permeability to the mean pressure is obtained and the absolute permeability value is then generated as the y-axis slice of the linear regression plot of the real permeability to the mean pressure. Testing the model by comparing the results of model calculations with analytical calculations for simple capillary bundles. The calculation is obtained with an error of 0.88%, indicating that the modeling is in line with the analytical calculations for absolute permeability estimation and can be used to estimate the real permeability influenced by fluid pressure. The model is then applied to estimate the permeability of mortar samples, Berea sandstone, Fountainebleau sandstone, and reservoir rock X. The model estimates are quite good for material samples with permeability in the range of 10-2 - 10-4 mD, with the estimation results being at the same power. and is the expected goal. The absolute permeability estimation accuracy in all samples is not good because it produces an error >10%, due to the pore size distribution of the measured sample may not represent the actual state of the connected pore network and the assumption of the geometric shape of the modeling capillary tube such as the assumption of a cylindrical shape and the absence of windings. different from the actual pore shape. Permeability estimation was then carried out on digital rock samples of Berea sandstone with pore size distribution obtained through CTAn software. The results of the absolute permeability of the sample obtained are 1602 mD with a confidence interval for the calculation of the model is [1138 – 2069] mD with the assumption of a normal distribution and an interval of 1?.