Porosity of ill-posed problems

We prove that in several classes of optimization problems, including the setting of smooth variational principles, the complement of the set of well-posed problems is -porous.

     

Wave propagation in saturated ground using the volume fractions

The purpose of this paper is to study the dynamic behavior of soft ground including a porous layer by considering the porosity change. In order to take the porosity change into account, the concept of the volume fraction, which has been proposed in continuum mechanics, is introduced. The constitutive equations presented by Bowen are applied to the analysis of the porous media. According to Bowen's theory, the porosity is considered as a variable called the volume fraction and has its own constitutive equation. The constitutive equation of the volume fraction has thermoelastic equation coefficients and is determined by the strains of the solid and the fluid. This means that the compressibilities of the solid and the fluid are considered. When the special condition is assumed, Bowen's theory can contain Biots's theory, which has been applied in earthquake engineering. The wave propagation in the ground including a porous layer, modeled by Bowen's theory, is studied and compared with that of Biot's theory. One-dimensional attenuation and surface amplitude are calculated. The effect of the volume fraction is discussed with respect to the compressibilities of the solid and the fluid.     

考虑二次梯度项及动边界的双重介质低渗透油藏流动分析

在传统试井模型的非线性偏微分方程中根据弱可压缩流体的假设,忽略了二次梯度项,对于低渗透油藏这种方法是有疑问的.低渗透问题一个显著的特点就是流体的流动边界随着时间不断向外扩展.为了更好地研究双重介质低渗透油藏中流体的流动问题,考虑了二次梯度项及活动边界的影响,同时考虑了低渗透油藏的非达西渗流特征,建立了双重介质低渗透油藏流动模型.采用Douglas-Jones预估-校正差分方法获得了无限大地层定产量生产时模型的数值解,分别讨论了不同参数变化时压力的变化规律及活动边界随时间的传播规律,还分析了考虑和忽略二次梯度项影响时模型数值解之间的差异随时间的变化规律,做出了典型压力曲线图版,这些结果可用于实际试井分析.     

透明陶瓷透光性能的影响因素

 研究了影响激光透明陶瓷透光性能的主要因素,讨论了陶瓷内部气孔和杂质颗粒等散射粒子、晶界结构中晶界折射率与晶粒折射率的差异以及晶界表面粗糙度等因素对陶瓷透光性能的影响,并定量分析了激光陶瓷透过率随气孔尺寸、气孔率、晶粒相对晶界折射率以及晶界表面粗糙度的变化关系。结果表明： 陶瓷的透过率随着气孔率的减小而增大,但透过率随气孔尺寸的增大而呈现出周期性振荡,且当气孔尺寸与入射光波长可比拟时,陶瓷的透过率会明显降低;在晶界结构中,晶界的折射率与晶粒的折射率相差越小,陶瓷的透过率就越高;晶界表面粗糙度越大,透过率越低。然而,晶界折射率不同于晶粒折射率,这使得其陶瓷透过率降低的程度比对晶界表面粗糙度的影响明显得多。在陶瓷制备过程中,需要重点排除尺寸与入射波长可比拟的气孔, 以抑制晶界结构中第二相的产生。     

透明激光陶瓷散射损耗分析

 为了定量分析激光陶瓷中散射损耗对其透过率的影响,通过建立气孔尺寸分布模型,引入第二相体积比概念,并结合Mie散射、瑞利散射和全散射积分等理论,讨论了激光陶瓷中气孔、晶界第二相和表面粗糙度等引起的散射损耗对激光陶瓷透光性能的影响。研究结果表明：气孔率的大小将明显影响陶瓷透过率,且气孔尺寸分布决定了透过率包络的变化趋势;晶界和表面散射对透过率的影响主要集中在短波长处;在气孔率较低情况下,晶界第二相的存在是导致短波长处透过率急剧降低的主要因素。     

烧结金属纤维板大空间自然对流实验研究

实验研究了烧结金属纤维板在大空间下的自然对流换热,分析了倾角、孔隙率、纤维丝经、Ra数和金属纤维导热系数对换热性能的影响.实验结果表明:存在最优的角度(60°左右)使烧结金属纤维板的自然对流换热性能最好,但倾斜角度对烧结金属纤维板的换热影响没有光板显著;加热面的平均Nu数随着纤维直径和孔隙率的增加均先增加后减小;在实验...     

低孔隙度疏松铝的高压声速与冲击熔化

对含微孔洞疏松度m=1.04的疏松铝进行了冲击加载-卸载实验,利用DISAR(distance interferometer system for any reflector)测得了53至99 GPa五个冲击压力下疏松铝/LiF界面粒子速度波剖面,获得了各压力下的纵波声速和其中三个压力点的体波声速,确定出疏松铝的冲击熔化压力约为81 GPa,确定出高压下冲击熔化前的泊松比约为0.372.通过分析,微孔洞明显降低了冲击熔化压力,引起的非谐振效应明显,状态方程计算中考虑非谐效应,非谐因子l 关键词： 低孔隙度 疏松铝 声速 冲击熔化