Dmitry Nikolskiy
École Polytechnique Fédérale de Lausanne
Geothermal gradientRegular polygonElasticity (economics)Pressure dropPhysicsMathematical optimizationGeologyEngineeringCluster (physics)Mathematical analysisPlanarSquare (algebra)Matrix (mathematics)Type (model theory)Civil engineeringBoreholeClassification of discontinuitiesGaussTetragonal crystal systemPoromechanicsBoundary value problemIsotropyGeotechnical engineeringMaterials scienceAnalytic element methodRange (mathematics)Range (statistics)Collocation methodAlgebraic equationGeometryPerforation (oil well)SolverHarmonic (mathematics)Applied mathematicsComputational TechniqueComplex variablesNumerical modelingLaboratory testingExperimental mechanicsGeologic sequestrationFracture propagationBoundary element analysisAnalytical expressionsGraduate studentsMathematicsFracture (geology)Elastic modulusVertical directionVolume integralBoundary knot methodFiber-reinforced compositeMechanicsBoundary (topology)Quantum mechanicsBoundary element methodStructural engineeringDiscretizationClassical mechanicsFlow (psychology)Mechanical engineeringCoordinate systemWell stimulationSingular boundary methodStress (mechanics)SegmentationFluid dynamicsSingular integralBody forceSpatial variabilityComputer fileShear (geology)WellboreScaling
14Publications
5H-index
47Citations
Publications 14
Newest
#1Dmitry Nikolskiy (EPFL: École Polytechnique Fédérale de Lausanne)H-Index: 5
#2Brice Lecampion (EPFL: École Polytechnique Fédérale de Lausanne)H-Index: 22
We explore different aspects of the multi-stage fracturing process such as stress interaction between growing hydraulic fractures, perforation friction, as well as the wellbore flow dynamics using a specifically developed numerical solver. In particular, great care is taken to appropriately solve for the fluid partition between the different growing fractures at any given time. We restrict the hydraulic fractures to be fully contained in the reservoir (fractures of constant height) thus reducing...
1 CitationsSource
#1Dmitry Nikolskiy (EPFL: École Polytechnique Fédérale de Lausanne)H-Index: 5
#2Brice Lecampion (EPFL: École Polytechnique Fédérale de Lausanne)H-Index: 22
Last. Atef OnaisiH-Index: 8
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#1Sofia G. Mogilevskaya (UMN: University of Minnesota)H-Index: 23
#2Dmitry Nikolskiy (UMN: University of Minnesota)H-Index: 5
1 CitationsSource
#1Dmitry Nikolskiy (UMN: University of Minnesota)H-Index: 5
#2Mattia Zammarchi (University of Brescia)H-Index: 2
Last. Alberto Salvadori (University of Brescia)H-Index: 17
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Abstract The paper presents a numerical study of the three-dimensional problem of cracks interacting with a cylindrical uniformly pressurized borehole. The theoretical developments describe general case in which the axis of the borehole can be inclined to the vertical direction, the cracks are either located outside of the borehole or emanate from it, and the in-situ stresses are uniform with major principal stress acting in vertical direction. The tractions are prescribed at the cracks surfaces...
2 CitationsSource
#1Dmitry NikolskiyH-Index: 5
University of Minnesota Ph.D. dissertation. March 2016. Major: Civil Engineering. Advisor: Joseph Labuz. 1 computer file (PDF); vii, 143 pages.
#1Dmitry NikolskiyH-Index: 5
#2Brice LecampionH-Index: 22
We report the progress on a new computational technique for fully three-dimensional simulation of propagation of hydraulic fractures in the vicinity of a wellbore. One of the components of this technique is the boundary element code for modeling the elastic deformation of rock containing pressurized cracks developed previously by the first Author (see Nikolskiy, Mogilevskaya & Labuz, 2015). This code requires the use of only surface mesh, which facilitates its coupling with models of the fluid f...
#1Dmitry Nikolskiy (UMN: University of Minnesota)H-Index: 5
#2Sofia G. Mogilevskaya (UMN: University of Minnesota)H-Index: 23
#1Sofia G. Mogilevskaya (UMN: University of Minnesota)H-Index: 23
#2Dmitry Nikolskiy (UMN: University of Minnesota)H-Index: 5
7 CitationsSource
#1Dmitry Nikolskiy (UMN: University of Minnesota)H-Index: 5
#2Sofia G. Mogilevskaya (UMN: University of Minnesota)H-Index: 23
Last. Joseph F. Labuz (UMN: University of Minnesota)H-Index: 32
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Abstract This paper reports new developments on the complex variables boundary element approach for solving three-dimensional problems of cracks in elastic media. These developments include implementation of higher order polynomial approximations for the boundary displacement discontinuities and more efficient analytical techniques for evaluation of integrals. The approach employs planar triangular boundary elements and is based on the integral representations written in a local coordinate syste...
8 CitationsSource
#1Sofia G. Mogilevskaya (UMN: University of Minnesota)H-Index: 23
#2Dmitry Nikolskiy (UMN: University of Minnesota)H-Index: 5
Summary The article presents a new complex variables-based approach for analytical evaluation of threedimensional integrals involved in boundary element method (BEM) formulations. The boundary element is assumed to be planar and its boundary may contain an arbitrary number of straight lines and/or circular arcs. The idea is to use BEM integral representations written in a local coordinate system of an element, separate in-plane components of the fields involved, arrange them in certain complex c...
17 CitationsSource