Authors: Sergey S. ARSENYEV-OBRAZTSOV was born in 1951. Graduated from Moscow Institute of Petrochemical and Gas Industry in 1975. He is Candidate of Technical Sciences, Associate Professor of the Department of Applied Mathematics and Computer Modeling, director of the High Performance Computing Centre of Gubkin Russian State University (National Research University) of Oil and Gas. He is specialist in high performance computer simulation of complicated multiphysics processes. He is author of more than 50 publications.
E-mail: arseniev@gubkin.ru
Tatiana M. ZHUKOVA graduated from Moscow Institute of Electronic Engineering in 1971. She is Candidate of Technical Sciences, Assistant Professor at Gubkin Russian State University (National Research University) of Oil and Gas. She is specialist in numerical methods for the solution of partial differential equations on high performance computers. She is author of more than 40 publications. E-mail: jukova.t@mail.ru
Abstract: A modified method of digital filtration based on nonlinear anisotropic diffusion is proposed. Filters using this approach have been successfully applied in medicine. This method was specifically modified to process the results of digital computer tomography and microscopy of core plugs, obtained from reservoirs of oil and gas fields. The filter allows to suppress both additive and multiplicative noise without changing the position of the internal boundaries of the object. Basing on the programming language supporting the „non-uniform memory access” (NUMA) paradigm the parallel filtration algorithm for large size 2D and 3D-digital images was developed for heterogeneous high-performance computer systems. The computer program operation is illustrated by the results of the analysis of core plug permeability dependence on the direction of the fluid flow
Index UDK: 004.932:519.63
Keywords: X-ray computer micro tomography, digital high-resolution microscopy, digital denoising of 3D images, nonlinear anisotropic diffusion filter, parallel algorithms, stencils on regular grids
Bibliography:
1. Arsenyev-Obraztsov S.S. Estimation of permeability tensor by numerical simulation of fluid flow in porous media digital model. Trudy RGU nefti i gaza im. I.M. Gubkina [Proceedings of Gubkin Russian State University of Oil and Gas], 2015, no. 4, p. 64-76 (in Russian).
2. Samarskii A.A. The theory of difference schemes. Moscow, Nauka, 1983, 616 p.
3. De Boor C. A Practical Guide to Splines. Springer Series: Applied Mathematical Sciences, vol. 27 1st ed. 1978. 1st hardcover printing, XVIII, 2001, 372 p.
4. Numrich R.W. and Reid J.K. Co-Array Fortran for parallel programming. ACM Fortran Forum, 17(2), 1998, p. 1-31.
5. Perona P. and Malik J. Scale-space and edge detection using anisotropic diffusion. Proceedings of IEEE Computer Society Workshop on Computer Vision, 1987, p. 629-639.
6. Russ J.C. The Image Processing Handbook. CRC Press, Inc., 2006, 832 p.