Perturbation to Noether Symmetry and Noether Adiabatic Invariants of General Discrete Holonomic Systems

The perturbation to Noether symmetry and Noether adiabatic invariants of general discrete holonomic systems are studied. First, the discrete Noether exact invariant induced directly from the Noether symmetry of the system without perturbation is given. Secondly, the concept of discrete high-order adiabatic invariant is presented, the criterion of the perturbation to Noether symmetry is established, and the discrete Noether adiabatic invariant induced directly from the perturbation to Noether symmetry is obtained. Lastly, an example is discussed to illustrate the application of the results.     

Adiabatic invariants induced by perturbation to form invariance of mechanico-electrical systems

This Letter focuses on perturbation to form invariance of mechanico-electrical systems. Criteria and structural equations for form invariance after disturbance are proposed. Considering perturbation of all the infinitesimal generators, a new type of adiabatic invariant induced by perturbation to form invariance of the system is reported.     

沉积物中甲烷水合物饱和度测定及其力学特性研究

在自主研制的实验装置上合成甲烷水合物,采用时域反射技术(TDR)实时监测甲烷水合物生成过程中饱和度的变化,并与系统的压力降法计算的饱和度进行了对比。结果表明TDR法简单易行,结果可靠。对含甲烷水合物沉积物进行了一系列不排水三轴压缩实验,结果表明,含甲烷水合物沉积物的抗剪强度随着有效围压的增加和水合物饱和度的增加而增大;粘聚力随着甲烷水合物饱和度的增加而明显增加,但内摩擦角变化并不显著。在此基础上,提出了抗剪强度与有效围压和水合物饱和度的关系模型。     

分子筛在加氢脱硫催化剂深度脱硫方面的应用

本文综述了分子筛对加氢脱硫催化剂深度脱硫性能的影响,对分子筛基加氢脱硫催化剂上涉及含硫大分子4,6-二甲基二苯并噻吩(4,6-DMDBT)加氢脱硫反应的研究进展作了总结。主要介绍了微孔分子筛、介孔分子筛、微介孔复合分子筛和纳米分子筛在加氢脱硫催化剂针对4,6-DMDBT加氢脱硫反应方面的应用进展。简要介绍了分子筛基加氢脱硫催化剂上4,6-DMDBT加氢脱硫反应的反应途径、反应机理及抑制过度裂化反应的措施。最后展望了该研究领域的发展前景。     

水平井砾石充填数值模拟研究进展

综述了水平井数值模拟研究的最新进展,内容包括：水平井砾石充填 机理及技术难题、充填过程中平衡砂床高度、临界流速的计算模型,描述了筛管/井筒环空砂 浆流动、冲管/筛管环空纯携砂液流动以及它们之间流体的交换和向地层的滤失过程. 重点介 绍了$\alpha$波充填过程中流动数学模型的研究现状及影响水平井砾石充填的各个 因素和存在的问题.     

三孔单渗模型数值模拟研究

保留了非线性偏微分方程中的所有项,没有忽略二次梯度项的影响。建立了由基岩、裂缝及溶洞系统组成的三孔单渗模型。采用有限差分的方法获得了无限大地层定产量生产、有界封闭地层定产量生产和有界封闭地层定压生产时的三孔单渗模型的差分方程,用解非线性方程组的Broyder迭代法求得了方程组的数值解。分别讨论了三重介质参数变化时的压力变化规律,并考虑了井筒储集和表皮效应对压力的影响,做出了典型压力曲线图。     

New Type of Conserved Quantities of Lie Symmetry for Nonholonomic Mechanical Systems in Phase Space

The new types of conserved quantities, which are directly induced by Liesymmetry of nonholonomic mechanical systems in phase space, are studied. Firstly, the criterion of the weak Lie symmetry and the strong Lie symmetry are given. Secondly, the conditions of existence of the new type of conserved quantities induced by the weak Lie symmetry and the strong Lie symmetry directly are obtained, and their form is presented. Finally, an Appell-Hamel example is discussed to further illustrate the applications of the results.     

Entropy of Field Interacting With Two Atoms in Bell State

In this paper, we investigate entropy properties of the single-mode coherent optical field interacting with the two two-level atoms initially in one of the four Bell states. It is found that the different initial states of the two atoms lead to different evolutions of field entropy and the intensity of the field plays an important role for the evolution properties of field entropy.     

A New Type of Mei Adiabatic Invariant Induced by Perturbation to Mei Symmetry of Hamiltonian Systems

Considering full perturbation to infinitesimal generators in the Mei structure equation, a new type of Mei adiabatic invariant induced by perturbation to Mei symmetry for Hamiltonian system was reported.     

Conformal invariance and conserved quantities of general holonomic systems in phase space

This paper studies the conformal invariance and conserved quantities of general holonomic systems in phase space. The definition and the determining equation of conformal invariance for general holonomic systems in phase space are provided. The conformal factor expression is deduced from conformal invariance and Lie symmetry. The relationship between the conformal invariance and the Lie symmetry is discussed, and the necessary and sufficient condition that the conformal invariance would be the Lie symmetry of the system under the infinitesimal single-parameter transformation group is deduced. The conserved quantities of the system are given. An example is given to illustrate the application of the result.