Biography The Book Projects Publications Contact Home


Two-Phase Flow through Porous Media

Since Fall 2001, I have been distributing copies of Two-Phase Flow through Porous Media as an 8.5" x 11" manuscript with a plastic spiral binding. This text emphasizes the fundamentals of two-phase flow and applications of those fundamentals to assessing quality of data from capillary pressure and relative permeability tests. It is an excellent introduction to reservoir engineering. A CD of software demos written as spreadsheets and Visual Basic modules for Excel comes with the text.


You may purchase the book by credit card through the bookstore at the Colorado School of Mines. The cost of the book from them is $56 (US), not including taxes and shipping costs. For USA addresses, the shipping cost is $5. You may reach the bookstore by telephone (303-273-3113) or at the following web-site:

For purchases outside of the USA, the shipping charge varies with the country; please email the following address to make your purchase with the correct shipping charge:

Finally, if you have trouble getting hold of the text through the bookstore, please contact me directly.

Overview of the Book

Chapter One: Comprehensive overview of the behavior of capillary pressure and relative permeability relationships as reported in the literature (47 pages; 20 figures)

Chapter Two: Summary of Buckley-Leverett theory for two-phase flow in the absence of capillary dispersion, with an Excel spreadsheet that demonstrates each step in the analysis (21 pages; 9 figures)

Chapter Three: Introduction to the effects of capillary pressure and capillary-pressure gradients on two-phase flow, with a Visual Basic module for estimating capillary retention in steady-state tests (20 pages; 8 figures)

Chapter Four: Methods for measuring capillary pressure relationships, with extensive discussion of centrifuge methods with Excel examples (32 pages; 24 figures)

Chapter Five: Summary of historically applied methods for measuring relative permeability (32 pages; 30 figures)

Chapter Six: Summaries, Excel examples, and theoretical origins of differential data reduction procedures (Welge, JBN, Jones-Roszelle, Ramakrishnan-Cappiello, Hagoort) (34 pages; 10 figures)

Chapter Seven: Finite-difference modeling (with Visual Basic modules) of unsteady-state methods for measuring relative permeability, including the effects of capillary-pressure gradients - "end effects" (38 pages; 24 figures)

Chapter Eight: Applications of tools from earlier chapters for assessing the quality of relative permeability measurements (15 pages; 14 figures)

The Book
Dr. Richard L. Christiansen 2003
Designed by: Dilek Yildiz