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Recovering information on subsurface geological features, such as flow channels, holds significant importance for optimizing the productivity of oil reservoirs. The flow channels exhibit high permeability in contrast to low permeability rock formations in their surroundings, enabling formulation of a sparse field recovery problem. The Ensemble Kalman filter (EnKF) is a widely used technique for the...
New developments of electromagnetic and seismic techniques have recently revolutionized the oil and gas industry. Time-lapse seismic data is providing engineers with tools to more accurately track the dynamics of multi-phase reservoir fluid flows. With the challenges faced in distinguishing between hydrocarbons and water via seismic methods, the industry has been looking at electromagnetic techniques...
The generalized Nonlinear Schrödinger Equation (GNLSE): i∂ϕ/∂ t+1/2 Δ ϕ + F(| ϕ|2) ϕ = 0 is a fundamental equation for the universal propagation of dispersive and nonlinear waves [1-4]. In the presence of high order nonlinear responses, these equations exhibit instabilities that lead to wave collapse [1, 4]. The study of collapse has stirred significant interest in scientific community, especially...
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