Marcin Krotkiewski

• Hawkins, Christopher; Angheluta, Luiza; Krotkiewski, Marcin & Jamtveit, Bjørn (2016). Reynolds-number dependence of the longitudinal dispersion in turbulent pipe flow. Physical Review E (PRE). ISSN 2470-0045. 93(4). doi: 10.1103/PhysRevE.93.043119.
• Jamtveit, Bjørn; Krotkiewski, Marcin; Kobchenko, Maya; Renard, Francois Marie Paul L & Angheluta, Luiza (2014). Pore-space distribution and transport properties of an andesitic intrusion. Earth and Planetary Science Letters. ISSN 0012-821X. 400, p. 123–129. doi: 10.1016/j.epsl.2014.05.042.
• Krotkiewski, Marcin & Dabrowski, Marcin (2013). Efficient 3D stencil computations using CUDA. Parallel Computing. ISSN 0167-8191. 39(10), p. 533–548. doi: 10.1016/j.parco.2013.08.002.
• Krotkiewski, Marcin; Ligaard, Ingeborg S; Lie, Knut-Andreas & Schmid, Daniel Walter (2011). On the importance of the Stokes-Brinkman equations for computing effective permeability in karst reservoirs. Communications in Computational Physics. ISSN 1815-2406. 10(5), p. 1315–1332. doi: 10.4208/cicp.290610.020211a. Show summary

  Cavities and fractures significantly affect the flow paths in carbonate reservoirs and should be accurately accounted for in numerical models. Herein, we consider the problem of computing the effective permeability of rock samples based on high-resolution 3D CT scans containing millions of voxels. We use the Stokes-Brinkman equations in the entire domain, covering regions of free flow governed by the Stokes equations, porous Darcy flow, and transitions between them. The presence of different length scales and large (ten orders of magnitude) contrasts in permeability leads to highly ill-conditioned linear systems of equations, which are difficult to solve. To obtain a problem that is computationally tractable, we first analyze the relative importance of the Stokes and Darcy terms for a set of idealized 2D models. We find that, in terms of effective permeability, the Stokes-Brinkman equations are only applicable for a special parameter set where the effective free-flow permeability is less than four orders of magnitude different from the matrix permeability. All other cases can be accurately modeled with either the Stokes or the Darcy end-member flows, depending on if there do or do not exist percolating free-flow regions. The insights obtained are used to perform a direct computation of the effective permeability of a rock sample model with more than 8 million cells.

• Krotkiewski, Marcin & Dabrowski, Marcin (2010). Parallel symmetric sparse matrix-vector product on scalar multi-core CPUs. Parallel Computing. ISSN 0167-8191. 36(4), p. 181–198. doi: 10.1016/j.parco.2010.02.003.
• Mazzini, Adriano; Nermoen, Anders; Krotkiewski, Marcin; Podladtchikov, Iouri; Planke, Sverre & Svensen, Henrik (2009). Strike-slip faulting as a trigger mechanism for overpressure release through piercement structures. Implications for the Lusi mud volcano, Indonesia. Marine and Petroleum Geology. ISSN 0264-8172. 26(9), p. 1751–1765. doi: 10.1016/j.marpetgeo.2009.03.001.
• Krotkiewski, Marcin; Dabrowski, Marcin & Podladchikov, Yuri P. (2008). Fractional Steps methods for transient problems on commodity computer architectures. Physics of the Earth and Planetary Interiors. ISSN 0031-9201. 171(1-4), p. 122–136. doi: 10.1016/j.pepi.2008.08.008.
• Schmid, Daniel Walter; Dabrowski, Marcin & Krotkiewski, Marcin (2008). Evolution of large amplitude 3D fold patterns: A FEM study. Physics of the Earth and Planetary Interiors. ISSN 0031-9201. 171(1-4), p. 400–408. doi: 10.1016/j.pepi.2008.08.007.
• Dabrowski, Marcin; Krotkiewski, Marcin & Schmid, Daniel Walter (2008). MILAMIN: MATLAB-based finite element method solver for large problems. Geochemistry Geophysics Geosystems. ISSN 1525-2027. 9. doi: 10.1029/2007GC001719.

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• Krotkiewski, Marcin & Dabrowski, Marcin (2011). Efficient solution of Poisson's equation on modern GPUs using structured grids.
• Krotkiewski, Marcin & Dabrowski, Marcin (2011). Efficient stencil computations and geometric multigrid on modern GPUs.
• Krotkiewski, Marcin & Dabrowski, Marcin (2011). High-performance unstructured 3D modeling on modern clusters with thousands of CPUs.
• Dabrowski, Marcin; Krotkiewski, Marcin & Schmid, Daniel Walter (2009). Unraveling the puzzle of numerical modeling.
• Krotkiewski, Marcin; Dabrowski, Marcin & Schmid, Daniel Walter (2008). Towards TeraFLOP sparse matrix-vector product: Efficient 3D computations on unstructured grids.
• Nermoen, Anders; Mazzini, Adriano; Gisler, Galen Ross; Krotkiewski, Marcin; Podladchikov, Yuri & Svensen, Henrik [Show all 8 contributors for this article] (2008). A multidiciplinary approach for mud volcano eruptions - Lusi. Show summary

  We present a multi-diciplinary study of mud volcanism. The study is inspired by the formation of the Lusi mud volcano on East Java, Indonesia where scientists for the first time in history have been able to follow the birth of a mud volcano. It is a common observation that piercement structures form along strike-slip faults, so also Lusi. We present here experimental, numerical and analytical evidence for the existence of an apparent weakening mechanism in the shear zone that reduces the critical fluid pressure at which deformation occur. This mechanism may, given a fluid over-pressure at depth, explain why fluidization is localized within strike-slip faults.

• Nermoen, Anders; Mazzini, Adriano; Podladchikov, Yuri; Gisler, Galen Ross; Krotkiewski, Marcin & Planke, Sverre [Show all 7 contributors for this article] (2008). A Multidisciplinary approach to mud volcano eruptions - Lusi.
• Krotkiewski, Marcin; Dabrowski, Marcin; Schmid, Daniel Walter & Podladtchikov, Iouri (2007). Efficient Large Scale 3D Modelling.
• Krotkiewski, Marcin; Dabrowski, Marcin; Schmid, Daniel Walter & Podladtchikov, Iouri (2007). High resolution 3D models: approaches, implementation, parallelization.
• Dabrowski, Marcin; Krotkiewski, Marcin; Schmid, Daniel Walter & Podladtchikov, Iouri (2007). 3D Deformation Modeling.
• Schmid, Daniel Walter; Dabrowski, Marcin & Krotkiewski, Marcin (2007). Research results of the microstructures group of PGP.
• Schmid, Daniel Walter; Dabrowski, Marcin & Krotkiewski, Marcin (2007). Direct numerical modelling of effective material properties and deformation processes in 3D.
• Krotkiewski, Marcin & Podladtchikov, Iouri (2007). High-resolution 3D modeling of acoustic wave propagation using ADI methods.
• Krotkiewski, Marcin; Dabrowski, Marcin & Podladtchikov, Iouri (2007). High-resolution 3D modeling of wave scattering by an oil reservoir.
• Dabrowski, Marcin; Krotkiewski, Marcin & Schmid, Daniel Walter (2007). Fold morphologies and effective mechanical properties in 3D.
• Krotkiewski, Marcin; Dabrowski, Marcin & Podladchikov, Yuri (2006). High performance geo-computing with commodity architecture.
• Krotkiewski, Marcin & Podladchikov, Yuri (2006). Benchmarking of structured and unstructured mesh approaches in large material contrast Stokes problem.
• Schmid, Daniel Walter; Dabrowski, Marcin & Krotkiewski, Marcin (2005). Supercomputing at PGP.

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