应用数学和力学

2019 Vol. 40, No. 4

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Pressure Transient Analysis of the Fractured Vuggy Reservoir Model Coupling Oil Flow and Wave Propagation

DU Xin, LU Zhiwei, LI Dongmei, XU Yandong, LI Peichao, LU Detang

2019, 40(4): 355-374. doi: 10.21656/1000-0887.390123

Abstract(1538) HTML (287) PDF(667)

Abstract:
Fractured vuggy reservoirs consist of matrix, fractures and vugs. Researchers usually treat the matrix-fracture-vug interaction as inter-porosity flow due to their complex pore system and flow mechanism.In fact, vugs play an important role in fractured vuggy reservoirs and can’t be simplified to one...

A Mechanical Constitutive Model for Hydrate-Bearing Sediments and Calculation of Material Parameters With the Discrete Element Method

ZHOU Bo, WANG Hongqian, WANG Hui, XUE Shifeng

2019, 40(4): 375-385. doi: 10.21656/1000-0887.390284

Abstract(1797) HTML (356) PDF(636)

Abstract:
To soundly describe the mechanical behaviors of hydrate-bearing sediments in the cases of different saturation levels of hydrate and various confining pressures, the stress-strain relation equations and elastic modulus weak-form equations for hydrate-bearing sediments were developed based on the gen...

Research on the Implicit AUSMV Algorithm for the 1D Gas-Liquid Two-Phase Drift Flux Model

XU Chaoyang, MENG Yingfeng, GUO Jinsong, LI Gao, QIU Quanfeng

2019, 40(4): 386-397. doi: 10.21656/1000-0887.390110

Abstract(1974) HTML (397) PDF(399)

Abstract:
The time step of the explicit AUSMV (advection upstream splitting method combined with flux vector splitting) algorithm is limited by the CFL (Courant-Friedrichs-Lewy) conditions. To improve computational efficiency, an implicit AUSMV algorithm was proposed for the gas-liquid two-phase drift flux mo...

Convection Patterns and Corresponding Critical Conditions in an Inclined Layer

NING Lizhong, WU Hao, NING Bibo, TIAN Weili, NING Jinghao

2019, 40(4): 398-407. doi: 10.21656/1000-0887.390102

Abstract(1670) HTML (360) PDF(376)

Abstract:
Through numerical simulation of the basic equations for 2D fluid mechanics, the convection patterns and the critical conditions for pattern transition in an inclined rectangular cavity with Prandtl number Pr=6.99 were studied. According to the variations of inclination angle θ and relative Rayleigh ...

Electrokinetic Flow and Heat Transfer in Soft Microtubes

XU Lina, JIAN Yongjun

2019, 40(4): 408-418. doi: 10.21656/1000-0887.390155

Abstract(1227) HTML (217) PDF(657)

Abstract:
The electrokinetic flow and heat transfer characteristics of fluid in soft microtubes, of which the walls were covered by polyelectrolyte materials as the fixed charge layer, were studied based on previously obtained analytical solutions of electrical potentials and velocities, and numerical solutio...

Analysis on Free Deformation Characteristics of Packer Rubber Surface Under the Initial Sealing Load

ZHANG Fuying, LI Tiantian, ZHANG Yufei

2019, 40(4): 419-432. doi: 10.21656/1000-0887.390096

Abstract(1404) HTML (266) PDF(466)

Abstract:
The displacement and deformation characteristics of the inner and outer surfaces of the packer rubber under the initial load in the free deformation stage were investigated. Based on the continuum mechanics, a finitedeformation mathematical model was established in the free deformation stage. The p...

Solitary Wave Evolution and Non-Smooth Solitary Waves in Microstructured Solids

NARANMANDULA, HAN Yuanchun, ZHANG Fang

2019, 40(4): 433-442. doi: 10.21656/1000-0887.390069

Abstract(1244) HTML (158) PDF(459)

Abstract:
A new free energy function was given with all quadratic terms of macro strain and micro deformation, as well as cubic terms of macro strain. A new model for description of the longitudinal wave propagation in microstructured solids was established by means of the new free energy function and Mindlin...

Parameter Uncertainty in Statistical Energy Analysis

XIAO Yanping, SONG Haiyang, YE Xianhui

2019, 40(4): 443-451. doi: 10.21656/1000-0887.390216

Abstract(1388) HTML (194) PDF(849)

Abstract:
The statistical energy analysis (SEA) is an effective method to calculate the vibration and noise, where the damping loss factor and the coupling loss factor have very small values and usually are difficult to accurately measure. Then large measurement errors result in significant deviation between ...

Characterizations of HContinuity for Solution Mapping to Parametric Generalized Weak Vector QuasiEquilibrium Problems

SHAO Chongyang, PENG Zaiyun, WANG Jingjing, ZHOU Daqiong

2019, 40(4): 452-462. doi: 10.21656/1000-0887.390198

Abstract(1487) HTML (213) PDF(363)

Abstract:
The stability of a class of parametric generalized weak vector quasi-equilibrium problems (PGWVQEP) in Hausdorff topological vector spaces, were studied. First, a parametric gap function for the problem was given, and the continuity property of the function was studied. Next, a key hypothesis relate...

The First Passage Failure Probabilities of Dynamical Systems Based on the Failure Domain Reconstruction and Important Sampling Method

REN Limei

2019, 40(4): 463-472. doi: 10.21656/1000-0887.390169

Abstract(1579) HTML (300) PDF(434)

Abstract:
For linear dynamical systems, the system failure domain was reconstructed, an important sampling density function was built with the probability of the basic failure domain and the important sampling simulation method was employed. For the nonlinear dynamical system, the equivalent linear system wa...