Numerical investigation of a coupled moving boundary model of radial flow in low-permeable stress-sensitive reservoir with threshold pressure gradient

The threshold pressure gradient and formation stress-sensitive effect as the two prominent physical phenomena in the development of a low-permeable reservoir are both considered here for building a new coupled moving boundary model of radial flow in porous medium. Moreover, the wellbore storage and skin effect are both incorporated into the inner boundary conditions in the model. It is known that the new coupled moving boundary model has strong nonlinearity. A coordinate transformation based fully implicit finite difference method is adopted to obtain its numerical solutions. The involved coordinate transformation can equivalently transform the dynamic flow region for the moving boundary model into a fixed region as a unit circle, which is very convenient for the model computation by the finite difference method on fixed spatial grids. By comparing the numerical solution obtained from other different numerical method in the existing literature, its validity can be verified. Eventually, the effects of permeability modulus, threshold pressure gradient, wellbore storage coefficient, and skin factor on the transient wellbore pressure, the derivative, and the formation pressure distribution are analyzed respectively.     

Modeling of a triple reduced surface field silicon-on-insulator lateral double-diffused metal–oxide–semiconductor field-effect transistor with low on-state resistance

An analytical model for a novel triple reduced surface field(RESURF) silicon-on-insulator(SOI) lateral doublediffused metal–oxide–semiconductor(LDMOS) field effect transistor with n-type top(N-top) layer, which can obtain a low on-state resistance, is proposed in this paper. The analytical model for surface potential and electric field distributions of the novel triple RESURF SOI LDMOS is presented by solving the two-dimensional(2D) Poisson's equation, which can also be applied to single, double and conventional triple RESURF SOI structures. The breakdown voltage(BV) is formulized to quantify the breakdown characteristic. Besides, the optimal integrated charge of N-top layer(Q_(ntop)) is derived, which can give guidance for doping the N-top layer. All the analytical results are well verified by numerical simulation results,showing the validity of the presented model. Hence, the proposed model can be a good tool for the device designers to provide accurate first-order design schemes and physical insights into the high voltage triple RESURF SOI device with N-top layer.     

Bernoulli泛函空间中广义计数算子的表示

得到离散时间正规鞅平方可积泛函空间L^{\mathrm{2}}(M)中广义计数算子N_h的5种表示：（1）量子Bernoulli噪声（quantum Bernoulli noises,QBN）\{{?}_k,{?}_k^{\mathrm{*}};k\ge \mathrm{0}\}的加权表示;（2）N_h的谱表示,广义计数算子N_h以h-计数测度{\#}_h的值域为其点谱;（3）N_h的“对角化”表示,N_h可表示为L^{\mathrm{2}}(M)的标准正交基\{Z_{\sigma };\sigma \in \mathrm{\Gamma }\}所生成的一维对角化正交投影算子的加权极限;（4）广义Skorohod积分-广义随机梯度表示,N_h可表示为互共轭算子{\delta }_h和{?}_h的复合算子;（5）对\mathbf{N}上的任意非负函数h,可构造一列有界广义计数算子,N_h恰为该有界广义计数算子的强极限,当h可和时,N_h为该有界广义计数算子的一致极限。     

A fractal approach to low velocity non-Darcy flow in a low permeability porous medium

In this paper, the mechanism for fluid flow at low velocity in a porous medium is analyzed based on plastic flow of oil in a reservoir and the fractal approach. The analytical expressions for flow rate and velocity of non-Newtonian fluid flow in the low permeability porous medium are derived, and the threshold pressure gradient （TPG） is also obtained. It is notable that the TPG （J） and permeability （K） of the porous medium analytically exhibit the scaling behavior J ~ K-D＇r/（l＋Or）, where DT is the fractal dimension for tortuous capillaries. The fractal characteristics of tortuosity for capillaries should be considered in analysis of non-Darcy flow in a low permeability porous medium. The model predictions of TPG show good agreement with those obtained by the available expression and experimental data. The proposed model may be conducible to a better understanding of the mechanism for nonlinear flow in the low permeability porous medium.     

Systematically investigating the polarization gradient cooling in an optical molasses of ultracold cesium atoms

We systematically investigate the polarization gradient cooling （PGC） process in an optical molasses of ultracold cesium atoms. The SR mode for changing the cooling laser, which means that the cooling laser frequency is stepped to the setting value while its intensity is ramped, is found to be the best for the PGC, compared with other modes studied. We verify that the heating effect of the cold atoms, which appears when the cooling laser intensity is lower than the saturation intensity, arises from insufficient polarization gradient cooling. Finally, an exponential decay function with a statistical explanation is introduced to explain the dependence of the cold atom temperature on the PGC interaction time.     

随机并行梯度下降算法在激光束整形中的应用

为了满足高光束质量要求,校正激光束在传输过程中产生的波前畸变,改善激光位相分布,进而提高聚焦光斑的能量集中度,基于79单元微机械薄膜变形镜（MMDM）搭建了一套激光束整形实验系统。利用随机并行梯度下降（SPGD）算法,分别选择聚焦光斑半径、形心为中心的环围能量比和质心为中心的环围能量比作为算法性能指标,开展了激光束整形实验研究。3种情况下,分别经过58次、197次、133次迭代趋于收敛,但光斑半径作为性能指标时振荡严重;环围能量比从整形前的0.200 5、0.127 7、0.200 5分别增加到整形后的0.669 9、0.733 9、0.864 0。实验结果表明：MMDM用于激光束整形具有良好的效果,光斑半径作为性能指标整形速度最快,其次为质心环围能量比,形心环围能量比最慢;质心环围能量比作为性能指标整形效果最好,其次为形心环围能量比,光斑半径最差。综合比较,质心环围能量比作为性能指标时综合效果最好。     

光谱频移的炸药熔铸温度网络监测系统研究

为了准确、稳定、全面地获得炸药熔铸过程各个位置的温度变化情况,设计了基于布喇格光栅光谱频移的温度实时监测系统。通过光纤组网系统对炸药熔铸过程炸药指定位置的多个点同时进行实时温度监测,根据光栅的布喇格波长与光栅温度之间存在的线性关系,建立光栅布喇格波长线性频移与光栅温度的函数,获取炸药不同位置的准确温度。四个通道通过耦合器共用同一个宽带光源,每一根光纤上的5个光栅的布喇格波长相互分开。实验所用的光栅为自己设计封装好的光栅,用保偏熔接机将光栅与光纤熔接上,经解调仪获取温度数据。将获取的温度数据经Origin处理绘制时间―温度曲线。结果显示,布喇格光栅测得的温度能很好的满足实验要求。     

高温高压下掺硼宝石级金刚石单晶生长特性的研究

本文在5.1—5.6 GPa,1230—1600℃的压力、温度条件下,以FeNiMnCo作为触媒,进行单质硼添加宝石级金刚石单晶的生长研究.借助于有限元法,对触媒内的温度场进行模拟.研究得到了FeNiMnCo-C-B体系下,金刚石单晶生长的P-T相图.该体系下合成金刚石单晶的最低压力、温度条件分别为5.1 GPa,1230℃左右.研究发现,在单晶同一{111}扇区内部,硼元素呈内多外少的分布规律.有限元模拟结果给出,该分布规律是由在晶体生长过程中,{111}扇区的增长速度逐渐减小所致.{111}晶向的晶体生长实验结果表明,硼元素优先从{111}次扇区进入晶体.研究发现,这是该扇区增长速度相对较快,硼元素扩散逃离可用时间短导致的.另外,同磨料级掺硼金刚石单晶生长相比,对于温度梯度法生长掺硼宝石级金刚石单晶,由于晶体的增厚速度较慢,即使硼添加量相对较高,也可以实现表面无凹坑缺陷的优质金刚石单晶的生长.     

掺杂对CH样品Rayleigh-Taylor不稳定性增长的影响

在神光II激光装置上进行了辐射驱动不同掺杂样品的单模Rayleigh-Taylor(RT)不稳定性实验.结果显示:与纯碳氢(CH)样品相比,掺Br的CH样品的扰动更早、更快地进入非线性区,产生二次谐波,并且掺Br比例越高,CH样品扰动进入非线性区的时间越早,相同时刻扰动的二次谐波的幅度越高.这是因为密度梯度效应抑制了二次谐波的产生,掺Br比例越高,密度梯度标长越小;同时密度梯度效应还抑制三次谐波对基模增长的负反馈,造成基模具有更大的线性增长,导致线性饱和幅值大于经典值0.1λ.     

多级感应线圈炮最优发射控制策略

基于电路理论,建立了多级感应线圈炮数学机电控制模型;分析了电枢受力的影响因素,结果表明,电枢受力决定于驱动线圈和电枢的电流大小和它们之间的互感梯度。总结了多级同步感应线圈炮设计原则,根据设计原则,提出了感应线圈炮的最优发射控制策略,并从理论上证明其可行性,最后以10级线圈炮为例,归纳了多级感应线圈炮的触发公式,并进行了实验验证,其结果表明,通过修正触发公式,仿真结果与测量值吻合较好。