scholarly journals Modelling the Unsteady Flow of Water into a Partly Saturated Soil

2019 ◽  
Vol 15 (4) ◽  
pp. 18-30
Author(s):  
Benyelles Zoheir ◽  
Abdeldjalil Zadjaoui ◽  
Bekkouche Abdelmalek
Keyword(s):  
Finite Element ◽  
Transient Flow ◽  
Flow Analysis ◽  
Flow Equation ◽  
Integration Scheme ◽  
Water Drainage ◽  
Vertical Column ◽  
Element Discretization ◽  
Hydraulic Load ◽  
Transient Flow Analysis

Abstract Flows in unsaturated medium are frequent in the field of civil engineering and more particularly in geotechnics. The study undertaken here tries to solve the unsaturated transient flow equation in porous media using the finite element method. Numerical solution of a finite element discretization is used along with an implicit integration scheme of the time stepping. A functional one that makes it possible to find the distribution of the hydraulic load has been proposed and a calculation program has been developed. The results obtained by this program called TFAP (Transient Flow Analysis Program) are compared to other previous work in the subject. The authors show the importance of this study through two real examples. Liakopoulos conducted several experiments on the water drainage through a vertical column filled with Del Monte sand. One of these experiments was chosen to perform a simulation by the model. The results of the calculation are compared with the experimental data as well.

Time Integration of Impact Phenomena in Solid Mechanics: A One-Dimensional Model Problem

1996 ◽  
Author(s):  
V. Chawla ◽  
T. A. Laursen
Keyword(s):  
Finite Element ◽  
Solid Mechanics ◽  
Exact Analytical Solution ◽  
Time Integration ◽  
Dynamic Contact ◽  
Momentum Conservation ◽  
Integration Scheme ◽  
Mass System ◽  
Element Discretization ◽  
Time Integration Scheme

Abstract 1D impact between two identical bars is modeled as a simple spring-mass system as would be generated by a finite element discretization. Some commonly used time integrators are applied to the system to demonstrate defects in the numerical solution as compared to the exact analytical solution. Using energy conservation as the criterion for stability, a new time integration scheme is proposed that imposes a persistency condition for dynamic contact. Finite element simulation with Lagrange multipliers for enforcing the contact constraints shows exact energy and momentum conservation.

Transient flow analysis of integrated valve opening process

2017 ◽  
Vol 313 ◽  
pp. 296-305 ◽  
Author(s):  
Xinming Sun ◽  
Benke Qin ◽  
Hanliang Bo ◽  
Xingxing Xu
Keyword(s):  
Transient Flow ◽  
Flow Analysis ◽  
Valve Opening ◽  
Transient Flow Analysis ◽  
Opening Process

Steady and Transient Flow Analysis of a Magnetically Levitated Pediatric VAD: Time Varying Boundary Conditions

2013 ◽  
Vol 36 (10) ◽  
pp. 693-699 ◽  
Author(s):  
Amy L. Throckmorton ◽  
Sharjeel A. Tahir ◽  
Sydnee P. Lopes ◽  
Owen M. Rangus ◽  
Michael G. Sciolino
Keyword(s):  
Boundary Conditions ◽  
Transient Flow ◽  
Flow Analysis ◽  
Time Varying ◽  
Magnetically Levitated ◽  
Transient Flow Analysis

scholarly journals Transient flow analysis in a Roots blower: Experimental and numerical investigations

2019 ◽  
Vol 134 ◽  
pp. 106305 ◽  
Author(s):  
Gursharanjit Singh ◽  
Shuaihui Sun ◽  
Ahmed Kovacevic ◽  
Qianhui Li ◽  
Christoph Bruecker
Keyword(s):  
Transient Flow ◽  
Flow Analysis ◽  
Numerical Investigations ◽  
Transient Flow Analysis

scholarly journals Transient Pressure and Rate Decline Analysis for Horizontal Well in Stress-Sensitive Composite Reservoir

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Yu Huang ◽  
Xiaoping Li ◽  
Xiaohua Tan
Keyword(s):  
Horizontal Well ◽  
Transient Flow ◽  
Orthogonal Transformation ◽  
Flow Analysis ◽  
Analytic Solutions ◽  
Stress Sensitivity ◽  
Transient Pressure ◽  
Regular Perturbation ◽  
Transient Flow Analysis ◽  
Permeability Modulus

The existence of stress sensitivity effect made the percolation mechanism of low-permeability reservoirs significantly complex. Further, numerous reservoirs have composite stratum properties in actual development procedure. This paper based on the concept of permeability stress sensitivity presents an unsteady flow model for horizontal well taking both stress sensitivity and composite reservoir into account. Analytic solutions for the transient pressure and the rate decline behaviors are obtained by comprehensive utilization of regular perturbation method, Laplace transformation, orthogonal transformation, and Stehfest numerical inversion. The example analysis verifies that the proposed model is reliable and practical. Likewise, there is a discussion of the influence of permeability modulus and other relevant parameters on the transient pressure and the rate decline for horizontal well in stress-sensitive composite reservoir. The work of this paper improved the previous researches and provided a more accurate basis for transient flow analysis and formation evaluation of this typical reservoir.

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