Page 87 - Formation Damage during Improved Oil Recovery Fundamentals and Applications

CHAPTER THREE

Formation Damage by Fines
Migration: Mathematical and

Laboratory Modeling, Field Cases

Thomas Russell, Larissa Chequer, Sara Borazjani, Zhenjiang You,
Abbas Zeinijahromi and Pavel Bedrikovetsky
The University of Adelaide, Adelaide, SA, Australia

Contents

3.1 Introduction 70
3.2 Governing Equations for Flow with Fines Migration 78
3.2.1 Torque balance of forces acting on particle 79
3.2.2 Using the torque balance to derive expressions for the maximum
retention function 85
3.2.3 Single-phase equations for fines transport 90
3.3 Fines Migration Resulting from High Fluid Velocities 92
3.3.1 Formulation of mathematical model 93
3.3.2 Exact analytical solution for 1D problem 96
3.3.3 Qualitative analysis of the solution 97
3.3.4 Analysis of laboratory data 99
3.4 Productivity Decline due to Fines Migration 101
3.4.1 Mathematical formulation 102
3.4.2 Analytical solution 104
3.4.3 Calculation of impedance 110
3.5 Fines Detachment and Migration at Low Salinity 112
3.5.1 1D analytical solution with instant fines detachment 112
3.5.2 Tuning experimental data 119
3.5.3 Well injectivity decline during low-salinity water injection 124
3.5.4 Field cases 138
3.6 Effects of Nonequilibrium/Delay in Particle Detachment on Fines Migration 140
3.6.1 Introduction of a delay in detachment 141
3.6.2 Exact solution for 1D problem accounting for delay with detachment 142
3.6.3 Analysis of laboratory data and tuning of the model coefficients 145
3.6.4 Semianalytical model for axisymmetric flow 148
3.6.5 Prediction of injection well behavior 155
3.7 Two-Phase Fines Migration During Low-Salinity Waterflood: Analytical
Modeling 157
3.7.1 Fines migration in two-phase flow 157

Formation Damage during Improved Oil Recovery. © 2018 Elsevier Inc.
DOI: https://doi.org/10.1016/B978-0-12-813782-6.00003-8 All rights reserved. 69