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Seepage Behind Earth Retaining Structures: The Barros Problem Revisited
AbstractAn explicit analytical solution is derived for a problem of steady, saturated seepage behind an earth retaining wall. Seepage occurs in a...
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Uncertain seepage equation in fissured porous media
Seepage equation in fissured porous media is a partial differential equation describing the variation of pressure of a given area over time. In...
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3D-2D Stokes-Darcy Coupling for the Modelling of Seepage with an Application to Fluid-Structure Interaction with Contact
In this note we introduce a mixed dimensional Stokes-Darcy coupling where a d dimensional Stokes’ flow is coupled to a Darcy model on the d − 1...
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RETRACTED ARTICLE: Research on shale gas productivity prediction method based on optimization algorithm
Shale gas, as one of the new natural gas deposits, has been widely concerned. Due to the multi-stage fracturing technology of horizontal wells used...
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Numerical Simulation of Haline–Convective Flows with Viscosity Contrast in a Porous Medium
AbstractHaline–convective flows in a porous medium are simulated using a two-dimensional computational code based on the finite difference method....
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Similar constructing method for solving nonlinear spherical seepage model with quadratic pressure gradient of three-region composite fractal reservoir
For the three-region composite reservoir, this paper establishes the nonlinear spherical seepage model of three-region composite fractal reservoir...
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Study of the Saffman–Taylor Instability in an Oil Reservoir Formation in Two Dimensions
Abstract —The paper is devoted to the simulation of oil displacement by water and the formation of the Saffman–Taylor instability. The problem is...
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Applications
This chapter is devoted to some concrete applications of the theory presented in the previous chapter to examples from two-dimensional elasticity...
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Efficient Water-Saving Irrigation, Space Efficiency and Agricultural Development — Study Based on Spatial Stochastic Frontier Model
**njiang’s agriculture is a typical irrigated agriculture for its agriculture water consumption accounts for 96% of the total water use. As a typical...
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Resource Mobility and Market Performance
We derive a feedback equilibrium of an infinite-horizon dynamic Cournot game where production requires exploitation of a renewable mobile resource,...
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The elastic boundary value problem of extended modified Bessel equation and its application in fractal homogeneous reservoir
By introducing the elastic boundary value condition, the elastic boundary value problem of extended modified Bessel equation is proposed, we can use...
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Controllability of Singular Distributed Parameter Systems in the Sense of Mild Solution
Necessary and sufficient conditions for the exact controllability and approximate controllability of a singular distributed parameter system are...
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Study on a Free Boundary Problem Arising in Porous Media
The present study discusses a free boundary problem arising from the steady two-dimensional seepage flow through a rectangular dam. The free boundary...
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Study of concentration arising in longitudinal dispersion phenomenon by Aboodh transform homotopy perturbation method
This paper applies the Aboodh transform homotopy perturbation method(ATHPM) to solve a partial differential equation. Aboodh transform is used to...
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Numerical Simulation of the Filtration of a Steam–Water–Oil Mixture during the Thermal-Steam Treatment of a Reservoir
AbstractA mathematical model and an algorithm for numerical modeling the filtration of a three-phase mixture of steam–water–oil in a porous reservoir...
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Forecasting Damage and Consolidation: Mathematical Models of Reacting Flows in Porous Media
In this paper we present a survey about a series of works developed in the last 20 years, with our group, on chemical aggression of stone artifacts....
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The influence of slip boundary effect on the propagation of shear horizontal guided waves in a fluid-saturated porous medium
Studies on the wetting effect reveal that slip is prevalent at the fluid–solid interface, and its influence cannot be disregarded in microscopic...
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Application of elastic transformation method and similarity construction method in solving ordinary differential equations
In response to solving difficult problems of nonlinear ordinary differential equations with variable coefficients, this paper introduces the Elastic...
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Isotopes for Improving Hydrologic Modeling and Simulation of Watershed Processes
Lake water quality management is an important component of watershed protection and restoration. Hydraulic residence time (HRT) is a guiding...