Гидродинамическое моделирование сложнопостроенных коллекторов на динамической адаптивной PEBI-сетке

гидродинамическое моделирование, неструктурированные сетки, гидроразрыв пласта (ГРП), многофазная фильтрация, многоточечная аппроксимация потока

1. Demmel J. W. Applied numerical linear algebra. – Philadelphia: Society for Industrial and Applied Mathematics, 1997 – 419 p.

2. Mlacnik M., Durlofsky L., Heinemann Z. Sequentially adapted flowbased PEBI grids for reservoir simulation // SPE International Journal for Numerical Methods in Engineering. – 2006. – Р. 317-327.

3. Palagi C. L., Aziz K. Use of Voronoi grid in reservoir simulation // SPE Advanced Technology Series. – 1994. – V. 2(02). – Р. 69-77.

4. Chen Z. Reservoir simulation: mathematical techniques in oil recovery // Society for Industrial and Applied Mathematics – 2007. –XXVIII. - P. 103-128.

5. Fractal analysis of dimensionless capillary pressure function / H. Gao, B. Yu, Y. Duan, Q. Fang // International Journal of Heat and Mass Transfer. – 2014. – V. 69. – Р. 26-33.

6. Li J., Heap A. D. A review of spatial interpolation methods for environmental scientists. – Canberra: Geoscience Australia, 2008. – 154 p.

7. Kovalevsky E. Geological Modelling on the Base of Geostatistics // Course Note. – EAGE, 2011. – 122 p.

8. Bahriawati C., Carstensen C. Three MATLAB implementations of the lowest-order Raviart-Thomas MFEM with a posteriori error control // Computational Methods in Applied Mathematics. – 2005. – V. 5. – P. 333-361.

9. Open source MATLAB implementation of consistent discretisations on complex grids/K.-A. Lie, S. Krogstad, I.S. Ligaarden [et al.] // Computer Geosciences. – 2012. – V. 16. – № 2. – Р. 297-322.

10. MRST-AD - an open-source framework for rapid prototyping and evaluation of reservoir simulation problems / S. Krogstad, K.-A. Lie, O. Møyner [et al.] // SPE 173317-MS. – 2015.

11. Discretisation on complex grids / K.-A. Lie, S. Krogstad, I. S. Ligaarden [et al.] // Open source MATLAB implementation. Proceedings of ECMOR XII, Oxford, UK, 6-9 September 2010.