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Aqueous Solutions
The importance of aqueous solutions in geochemistry may be appreciated if we recall that two-thirds of our planet is covered by water and that waters...
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Hard enforcement of physics-informed neural network solutions of acoustic wave propagation
Simulating the temporal evolution of wavefield solutions through models with heterogeneous material properties is of practical interest for many...
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Numerical Algorithms
An important class of discrete dynamical systems arises when continuous dynamical systems are discretized to be solved numerically on a computer. The...
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Approximate Analytical Solutions for 1-D Immiscible Water Alternated Gas
Water Alternated Gas (WAG) flooding is largely used as an Enhanced Oil Recovery (EOR) method in oil fields. It is based on the high sweep efficiency...
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Analytical Solutions of Elastic Complex Variables for Tunnels with Complicated Shapes Under Geostress Field
The elastic solutions of isotropic complex noncircular deep or shallow tunnels are obtained by the complex variable theory in this paper. In the...
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Uncertainties associated with integral-based solutions to geodetic boundary-value problems
Physical geodesy applies potential theory to study the Earth’s gravitational field in space outside and up to a few km inside the Earth’s mass. Among...
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Experimental and numerical investigation of shelf flow crossing over a strait
Motivated by the phenomenon of Scotian Shelf Crossover events, the problem of a shelf flow that is interrupted by a strait is considered. Laboratory...
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An enhanced V-cycle MgNet model for operator learning in numerical partial differential equations
This study used a multigrid-based convolutional neural network architecture known as MgNet in operator learning to solve numerical partial...
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A review of integrated surface-subsurface numerical hydrological models
Hydrological modeling, leveraging mathematical formulations to represent the hydrological cycle, is a pivotal tool in representing the spatiotemporal...
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Traveling wave solutions describing the foam flow in porous media for low surfactant concentration
We present a foam displacement model with a separate balance equation for the surfactant concentration in the aqueous phase. We consider the gas...
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Numerical Analysis of Seismoelectric Conversion in Stratified Low-Permeability Porous Rocks
A new set of complex dynamic localized response coefficients (LRC-NEW), related to the fast P waves, slow P waves, S waves, and electromagnetic (EM)...
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Artificial Intelligence and Its Application in Numerical Weather Prediction
AbstractArtificial intelligence is one of the most popular, frequently discussed, and, meanwhile, ambiguous and controversial metaphorical concepts,...
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Analytical solutions and 3D numerical analyses of a shallow tunnel excavated in weak ground: a case from Turkey
Due to the increasing population and resulting transportation needs, the number of subway and high-speed railway projects has also increased. The...
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Assessment of Analytical Solutions for Calculating Lateral Earth Pressures Behind Rigid Retaining Walls Under Translational Movement
Geotechnical engineering projects involving retaining walls require the calculation of lateral earth pressures behind these walls. This paper...
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Investigating the response of Urban Underground Utilities (3U) within an elastic and elastoplastic geological formation: Employing numerical and analytical techniques
An evaluative analysis focusing on the response of Urban Underground Utilities (3U) within a geological formation was conducted in this study,...
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Nonlinear Geodetic Equations with Uncertainties: Algebraic-Numeric Solutions
Techniques for solution of nonlinear equations where coefficients or parameters are uncertain are considered. An algebraic based nonlinear...
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Solving large deformation problems in geotechnical and geo-environmental engineering with the smoothed particle hydrodynamics: a state-of-the-art review of constitutive solutions
Coupled fluid–solid phase continuum problems associated with large deformation as geotechnics experts encounter in slope stability problems have been...
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Three-dimensional stability analysis of unsaturated slopes under variable rainfall conditions using a numerical method
Rainfall infiltration is one of the main triggering factors for slope instability. To investigate the three-dimensional (3D) stability of a slope...
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A numerical model for landslide movement
Starting from the basic equation of landslide movement, a numerical model for landslide movement was presented through the calculus transformation of...
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A Hybrid Dung Beetle Optimization Algorithm with Simulated Annealing for the Numerical Modeling of Asymmetric Wave Equations
In the generalized continuum mechanics (GCM) theory framework, asymmetric wave equations encompass the characteristic scale parameters of the medium,...