A5034324891- Hydraulic Fracturing and Reservoir Analysis
- Numerical methods in engineering
- Drilling and Well Engineering
- Seismic Imaging and Inversion Techniques
- Advanced Numerical Methods in Computational Mathematics
- Groundwater flow and contamination studies
- Electromagnetic Simulation and Numerical Methods
- Dam Engineering and Safety
- Computational Fluid Dynamics and Aerodynamics
- Geotechnical and Geomechanical Engineering
- Laser-Matter Interactions and Applications
- Geotechnical Engineering and Underground Structures
- Electromagnetic Scattering and Analysis
- Fluid Dynamics and Thin Films
- Cryospheric studies and observations
- Rock Mechanics and Modeling
- Reservoir Engineering and Simulation Methods
- Advanced Mathematical Modeling in Engineering
- Climate change and permafrost
- Spectroscopy and Quantum Chemical Studies
- Matrix Theory and Algorithms
- Stability and Controllability of Differential Equations
- Nonlinear Dynamics and Pattern Formation
- Arctic and Antarctic ice dynamics
- Numerical methods for differential equations
University of British Columbia
2012-2024
Google (United States)
2016
Université de Montréal
2009
Montreal Heart Institute
2009
Centre Hospitalier de l’Université de Montréal
2009
McMaster University
1988-2003
University of California, Santa Barbara
2003
Marymount University
1999
Princeton University
1986-1988
The optimal control of the path to a specified final state quantum-mechanical system is investigated. problem formulated as minimization over appropriate function spaces, and well-posedness this established by proving existence an solution. A Lagrange-multiplier technique used reduce equivalent optimization derive necessary conditions for minimum. These form basis gradient iterative procedure search numerical scheme based on finite differences infinite-dimensional approximate...
In this paper we analyze the controllability of quantum systems arising in molecular dynamics. We model these as with finite numbers levels, and examine their controllability. To do pass to unitary generators use results on invariant Lie groups. Examples systems, modeled finite-dimensional control are provided. A simple algorithm detect a system is Finally, apply five-level system.
Summary One of the important hurdles in horizontal-well stimulation is generation hydraulic fractures (HFs) from all perforation clusters within a given stage, despite challenges posed by stress shadowing and reservoir variability. In this paper, we use newly developed, fully coupled, parallel-planar 3D HF model to investigate potential minimize negative impact thereby promote more-uniform fracture growth across an array HFs adjusting location clusters. model, are assumed evolve parallel...
The mean first passage time (MFPT) is calculated for a Brownian particle in bounded two-dimensional domain that contains N small nonoverlapping absorbing windows on its boundary. reciprocal of the MFPT this narrow escape problem has wide applications cellular biology, where it may be used as an effective first-order rate constant to describe, example, nuclear export messenger RNA molecules through pores. In asymptotic limit patches have measure, method matched expansions calculate arbitrary...
Abstract The goal of this study is to analyse the steady flow a Newtonian fluid mixed with spherical particles in channel for purpose modelling proppant transport gravitational settling hydraulic fractures. developments are based on continuum constitutive model slurry, which approximated by an empirical formula. It shown that problem under consideration features two-dimensional and boundary layer, effectively introduces slip at allows us describe transition from Poiseuille Darcy’s law high...
The design of optimal final-state controllers quantum-mechanical systems that are insensitive to errors in the molecular Hamiltonian or initial state system is considered. Control arises through interaction with an external field; goal these latter fields for various physical objectives presence uncertainty. Sensitivity modeling and other uncertainties minimized by considering averaged costs a family functions ${\mathit{H}}_{0}$(\ensuremath{\alpha}) indexed random variable...
This study revisits the problem of a steadily propagating semi-infinite hydraulic fracture in which processes toughness-related energy release, viscous dissipation and leak-off compete on multiple length scales. typically requires solution system integro-differential equations with singular kernel, is complicated by need to capture extremely disparate In this governing are rewritten form one non-singular integral equation. reformulation enables use standard numerical techniques complete...
Abstract We present a planar three‐dimensional (3D) fracture growth simulator, based on displacement discontinuity (DD) method for multi‐layer elasticity problems. The uses fixed mesh approach, with rectangular panel elements to represent the surface. Special tip logic is included that allows element be partially fractured in region. perimeter modelled piece‐wise linear manner. algorithm can model any number of interacting fractures are restricted lie single surface, located orthogonal...
Abstract In this paper we introduce a method to reduce the solution cost for Boundary Element (BE) models from O ( N 3 )operations 2 log ) operations (where is number of elements in model). Previous attempts achieve such an improvement efficiency have been restricted their applicability problems with regular geometries defined on uniform mesh. We developed Spectral Multipole Method (SMM) which can be used not only arbitrary but also variety element types. The memory necessary store required...
Background— Hypertension is a leading mortality risk factor yet inadequately controlled in most affected subjects. Effective programs to address this problem are lacking. We hypothesized that an information technology–supported management program could help improve blood pressure (BP) control. Methods and Results— This randomized trial included 223 primary care hypertensive subjects with mean 24-hour BP >130/80 daytime >135/85 mm Hg measured ambulatory monitoring (ABPM). Intervention...
At certain critical values of the hardening modulus, governing equations elasto-plastic flow may lose their hyperbolicity and exhibit two modes ill-posedness: shear-band flutter ill-posedness. These ill-posedness are characterized by uncontrolled growth at infinitely fine scales, which ultimately violates continuum assumption. In previous work [L. An A. Peirce, SIAM J. Appl. Math., 54(1994), pp. 708–730], a model accounting for microscale deformations was built. Linear analysis demonstrated...