Short Course "Capillarity in porous media at different scales"

This short course takes place at the University of Stuttgart from 7th to 11th October 2019.

General Information

Monday, 7th October 2019 to Friday, 11th October 2019

University of Stuttgart, Pfaffenwaldring 61, Room U1.003 (MML)


This short course is organized in cooperation with the International Research Training Group (IRTG) DROPIT.

Members and associated international members of SFB 1313 and IRTG DROPIT are invited to attend the short course. Participants will get 3 credits for attending the course.

Participants only need to have a basic knowledge of mathematics and physics. Familiarity with concepts of derivation and integration would be sufficient.

The course is free of charge. Possible costs for accommodation or travel expenses cannot be reimbursed.

In this short course, a systematic approach is taken to the understanding of capillarity in porous media at different scales. Current definitions of capillary pressure, which are mostly empirical in nature are revisited and it is shown that they are special cases of a more general theory of capillarity.

First, capillary pressure is defined at pore scale based on the equation of momentum conservation for a fluid-fluid interface. It is shown that, even at microscale, capillary pressure is equal to the difference in pressures of the two fluids only under static conditions. General equations for dynamic or non- equilibrium conditions are derived. Then, capillary pressure at the macroscale (Darcy scale) is introduced based on principle of thermodynamics, and its relationship to fluid pressures under static and dynamic conditions is explored. Non-equilibrium capillarity theory and its effects on the modelling of moisture transport and two-phase flow processes are discussed. Computational and experimental studies are presented that investigate new generalized equations in variety of systems, such water infiltration into dry soil, penetration of liquids into absorbing hygienic tissues, moisture transport in fuel cells.


The short course is given by Majid Hassanizadeh.

Majid Hassanizadeh is Professor of Hydrogeology at Utrecht University whose research focuses on the transport of substances in porous media. Through his research, he contributes to solving problems with societal relevance, such as soil contamination. In addition, his research has proved to be of value for the industry.

The deadline for registration for this workshop expired on Wednesday, 4th September 2019.


The following subjects will be discussed:

  • Capillarity at pore scale (4 hours)
  • Capillarity at macroscale; fundamentals (4 hours)
  • Capillarity at macroscale; computational and experimental studies (6 hours)

The lectures (including exercises and breaks) will take place daily from 9:00pm to 12:30pm.

More details about the content of the course are available here.


 Sonderforschungsbereich 1313

Sonderforschungsbereich 1313

Management SFB 1313

To the top of the page