Scaling procedures for heterogeneous unconfined aquifers

Complex flows in heterogeneous confined and unconfined aquifers is a phenomenon that continues to present difficulties in flow mapping and modelling in the field, laboratory, and through numerical simulations. It is often the case with complicated phenomena that transformative scaling and reduction of the problem through symmetry is of great efficacy in the formation of predictive models in both the laboratory and computational settings. A detailed a study of the application of a broad class of Lie scaling transformations on a set of equations representing the groundwater flows in heterogeneous confined and unconfined aquifers has produced a set of scaling relationships between the spatial variables, hydrologic variables, and parameters. The set of scaling transformations preserve the structure of the equations in the sense that the scaling transformations leave the initial‐boundary value system representing the invariant groundwater flows. This theoretical approach elucidates not only the scaling relationships but also the properties that hydrologic variables and parameters must satisfy in order for calling to be possible. Validation of the theory developed is carried out through a series of four numerical simulations using the USGS modflow ‐2005 software package. The results of these experiments demonstrate that the derived scaling transformations can effectively form predictive models of large‐scale phenomena at small scales with negligible error in many cases. Comments on the limitations of the approach and directions for future research are made in the closing sections. Copyright © 2016 John Wiley & Sons, Ltd.     

聚苯乙烯轻质混合土的压缩变形特性试验研究

聚苯乙烯轻质混合土是一种新型的填土材料,国内对其压缩变形特性的试验研究较少。在无侧限抗压强度试验基础上,分析了聚苯乙烯轻质混合土的破坏应变、变形系数与抗压强度的关系;依据单向固结压缩试验,分析了不同配比条件混合土的压缩变形特性,得到压缩屈服应力和压缩模量,可为工程应用提供参考依据     

用传输线模型法计算非均匀介质中的电场响应

介绍了一种非均介质中电场响应的数值模拟方法.传输线模型法是以惠更斯原理为基础,通过建立麦克斯韦方程中电场和磁场与传输线方程中电压和电流的等效关系,按时间步进的办法来模拟电磁场响应的一种电磁场数值计算方法.从一维介质中电场传播的物理过程出发,导出了点电流源情形下地质介质中电场响应迭代方程;编程计算了非均匀介质中的电场响应,其结果表明,用这种方法对非均匀介质中的电场响应进行数值模拟是行之有效的.     

基于非均质地层参数表征的颗粒流模型构建

非均质地层参数的获取与表征方法是浅层地质体改造的重要依据。基于非均质地层的地质建模,表征具有随机不确定性和模糊不确定性的土体表观参数和物理力学参数。利用 Weibull 分布统计描述局部地层信息,并应用Diamond-Square分形插值方法,结合差分盒子维计算非均质地层分形维数,进一步合理演算整体地层参数。采用PFC3D数值模拟软件,结合马尔科夫链蒙特卡洛方法采样数据,对非均质地层块石颗粒及土颗粒进行建模。通过非均质地层模拟结果,发现其破坏过程与应力应变曲线要比均质土体复杂得多,由于块石大颗粒的含量、分布特性对土样力学性质影响显著。本文建模方法有助于非均质地层参数表征研究。     

多孔介质中非均匀流动特性的染色示踪试验研究

通过土壤染色剂进行的4组试验,对不同介质结构条件下的水流和溶质非均匀运动规律,非均匀流动变异信息分布特征关系以及全局性非均匀流动示踪方法进行了研究。结果表明,即使在相对比较均匀的介质条件下,流动也表现出明显的非均匀特性;对数正态分布能够较好的反映水流的运动分布模式,相比水流运动,溶质的运动和分布规律明显不同,表现出更多的不确定性和变异性。     

某些幔源矿物晶体中异常消光现象的显微喇曼谱研究

异常消光是一种在幔源晶体中常可观察到的物性改变现象,然而它与晶体的真实结构之间的内在联系却至今仍未被认识清楚。本项工作试图用一种灵敏的微区结构探测新技术——显微激光喇曼谱方法研究幔源晶体中由构造作用导致的异常消光现象的结构本质。实验结果说明:上地幔高温蠕变作用对橄榄石及辉石主要感应了晶体内微区晶轴取向的变化,还未能产生明显的结构相变;不同的异常消光现象反映晶轴扭转的单位大小不同,并主要依赖于矿物晶体本身的结构特性。     

岩石释光埋藏测年中砾石晒退程度的快速评估

信号晒退是释光测年的前提。最近几年发展起来的岩石释光埋藏测年技术,可以依据释光-深度曲线判断砾石样品释光信号晒退程度,这是该技术的一大优势之一。已有的测年实践显示,在不均匀晒退的沉积环境中,可能仅有少数砾石释光信号晒退良好,而大部分砾石年代高估。因此,非常有必要发展快速判断砾石释光信号晒退程度的方法,以提高测量效率。本文介绍了砾石释光信号晒退的几种常见情景及其筛选的理论基础,基于砾石释光信号由表及里晒退的事实,以及砾石表层剂量率变化大、测试深度需要、岩片平整度等的考虑,尝试将砾石表面约2 mm的释光信号与饱和释光信号进行对比,并结合统计分析方法(文中称“表_{~2 mm}/饱和信号法”),判断来自青藏高原东部横断山脉雀儿山北麓当子沟(32.1°N,98.9°E) 的典型不均匀晒退环境——冰川沉积的159个花岗岩冰水砾石的释光信号晒退程度。通过建立39根岩芯的完整释光-深度曲线,验证此方法可用于快速识别沉积前释光信号晒退良好的砾石。在此基础上,初步探讨了砾石释光信号晒退程度与沉积环境、砾石大小、磨圆度、球度、结构、砾石ab面方向间的关系,刻划释光信号晒退良好砾石的表观特征,以辅助岩石释光埋藏测年野外采样。

     

Researches on the Internal Molecular Weight Uniformity of Chitosan Biomaterials

Uniform molecular weight(Mw)chitosan(CS)is highly demanded in medical biomaterial industry.This present article described heterogeneous degradation of CS in aqueous HCl/ethanol solution,in which progress uniform Mw CS was successfully prepared.The Mw distribution of CS was measured by gel permeation chromatography(GPC)analysis.Moreover,the structure and properties of degraded CS were characterized by Fourier transform infrared spectroscopy(FT-IR),nuclear magnetic resonance spectroscopy(^1H NMR),X-ray diffraction(XRD)and thermogravimetric(TG)analysis.In addition,the biocompatibility of degraded CS was also assessed by hemolysis rate(HR)measurement.The Mw of CS dramatically decreased from 246 KDa to 76 k Da at the initial 30 min,and stabilized at 18 kDa after 24 h.GPC analysis results showed that the degraded CS molecular become homogenization.FT-IR and 1 H NMR analysis confirmed the basic structure of CS molecular backbone was not destroyed during this progress.Besides,the water solubility of CS was not significantly influenced by this reaction.Moreover,the XRD analysis revealed that crystallinity of degraded CS increased from 70.32% to 99.25%with time.The TG analysis showed improved thermal stability of degraded CS.HR measurement demonstrated the degraded CS possessed excellent biocompatibility.This simple and efficient heterogeneous degradation would open up a new route to produce uniform Mw CS.     

非均匀介质中交错网格高阶有限差分数值模拟

地震波场的数值模拟一直是地球物理学的一个重要的研究领域,而在数值正演模拟方法的研究中,计算精度和计算效率是评价该方法有效性及优越性的二个关键问题。这里从一阶速度—应力弹性波动方程出发,着重介绍如何构造离散化模型的网格,如何求解空间导数,如何选取边界条件等内容,从而更有效地提高数值计算的精度与计算效率。文中构造了不同类型的介质模型,并在交错网格中,利用高阶有限差分模拟非均匀介质的波场传播。模拟结果表明,该方法实现简单,具有很好地稳定性和较高的精度,能够直观、高效地反映出介质中波场的传播规律。