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Mathematical modelling for transport through porous media 1

Code: 45660
ECTS: 5.0
Lecturers in charge: prof. dr. sc. Mladen Jurak - Lectures
Lecturers: prof. dr. sc. Mladen Jurak - Exercises
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Lectures 30
Exercises 15
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: The aim of the course is an introduction to mathematical modeling of transport processes in porous media, used in hydrogeology and oil engineering.

COURSE DESCRIPTION AND SYLLABUS:
1. Darcy's law, flow of passive tracer through porous media (completely miscible flow).
2. Convection-diffusion equation, special solutions and numerical methods.
3. Modeling of chemical reactions, reaction-diffusion-convection equation.
4. Traveling wave solutions and numerical methods.
5. Macrotransport problem and upscaling techniques.
6. Turbulent diffusion.
Literature:
  1. J. D. Logan: Transport Modeling in Hydrogeochemical Systems
  2. G. Chavent, J. Jaffre: Mathematical Models and Finite Elements for Reservoir Simulation
  3. R. E. Ewing (editor): The Mathematics of Reservoir Simulation
1. semester
Izborni modul Transport kroz poroznu sredinu u hidrologiji i naftnom inženjering - Regular study - Applied Mathematics

2. semester
Izborni modul Transport kroz poroznu sredinu u hidrologiji i naftnom inženjering - Regular study - Applied Mathematics

3. semester
Izborni modul Transport kroz poroznu sredinu u hidrologiji i naftnom inženjering - Regular study - Applied Mathematics

4. semester
Izborni modul Transport kroz poroznu sredinu u hidrologiji i naftnom inženjering - Regular study - Applied Mathematics
Consultations schedule:
  • prof. dr. sc. Mladen Jurak:

    Wednesday 15-17h. Please register in advance by an e-mail.

    Location: 220
  • prof. dr. sc. Mladen Jurak:

    Wednesday 15-17h. Please register in advance by an e-mail.

    Location: 220

Content

Link to the course web page: http://www.pmf.unizg.hr/math/predmet/mmtkps1