Non-Fickian mass transport in fractured porous media     

Sergei A. Fomin  Vladimir A. ChugunovToshiyuki Hashida 《Advances in water resources》2011,34(2):205-214

The paper provides an introduction to fundamental concepts of mathematical modeling of mass transport in fractured porous heterogeneous rocks. Keeping aside many important factors that can affect mass transport in subsurface, our main concern is the multi-scale character of the rock formation, which is constituted by porous domains dissected by the network of fractures. Taking into account the well-documented fact that porous rocks can be considered as a fractal medium and assuming that sizes of pores vary significantly (i.e. have different characteristic scales), the fractional-order differential equations that model the anomalous diffusive mass transport in such type of domains are derived and justified analytically. Analytical solutions of some particular problems of anomalous diffusion in the fractal media of various geometries are obtained. Extending this approach to more complex situation when diffusion is accompanied by advection, solute transport in a fractured porous medium is modeled by the advection-dispersion equation with fractional time derivative. In the case of confined fractured porous aquifer, accounting for anomalous non-Fickian diffusion in the surrounding rock mass, the adopted approach leads to introduction of an additional fractional time derivative in the equation for solute transport. The closed-form solutions for concentrations in the aquifer and surrounding rocks are obtained for the arbitrary time-dependent source of contamination located in the inlet of the aquifer. Based on these solutions, different regimes of contamination of the aquifers with different physical properties can be readily modeled and analyzed.  相似文献   

Retention of cosmogenic 3He in calcite     

《Quaternary Geochronology》2015

Cosmogenic ³He can be used to date a wide range of mineral phases because it is produced from all target elements and can be readily measured above atmospheric contamination. Calcite is a particularly attractive target mineral due to its natural abundance, large crystal size (>1 mm), and low He closure temperature (<70 °C), which limit non-cosmogenic ³He components (Copeland et al., 2007). However, several recent studies have shown that some calcite may not be retentive to helium, even under surface temperatures (Cros et al., 2014; Copeland et al., 2007). This study thus explores ³He retention and production in natural calcite samples at four different sites. Samples from two high elevation sites appear retentive to ³He over 10 kyr timescales, whereas two additional sites clearly suffer from diffusive loss of ³He. Step-degassing experiments suggest that diffusion in calcite is controlled by multiple diffusion domains, with an apparent activation energy of 25–27 kcal mol⁻¹. Although minor ³He loss is expected from the smallest diffusion domains, the observed kinetics cannot explain the poor retention at all sites. We thus propose that opaque (non-transparent) calcite may be more retentive due to the presence of imperfections in the crystal lattice. We conclude that ³He dating of calcite shows promise in some settings. However, because retention depends on crystallographic variability it must be evaluated on a case-by-case basis until robust criteria for retention can be identified.  相似文献   

磷灰石U-Th/He法-&mdash|一种低温热年代计     

《地震地质》2000,22(4):427

回顾了U Th/He测年方法的发展过程 ,简要介绍了该方法测年的原理、分析流程和长α -粒子停止距离校正。然后介绍了近年来在磷灰石He扩散性研究及数值模拟方面取得的一些成果和磷灰石U Th/He热年代计在研究古地貌、岩体构造抬升、盆地热历史演化方面的应用。最后分析了U Th/He测年方法的优、缺点 ,说明这一方法既存在广阔的应用前景 ,又有待于进一步完善、提高  相似文献   

石臼港污染物三维扩散系数的计算     

张法高  王文素  李培泉  朱兰部  朱沛 《海洋科学》1990,14(5):1-7

  相似文献   

胶州湾东岸滩涂环境的遥感监测   总被引：3，自引：1，他引：3  

王珍岩  张慧霞  郜昂 《海洋科学》2003,27(8):8-10

利用低潮位陆地卫星TM影像对胶州湾东岸碱厂白水分布与扩散进行监测。对研究区的子区影像在ENVI中进行增强、变换处理，提取白水、白泥分布与扩散信息，制作大比例尺影像地图，在GIS软件中计算其面积。结合实地验证和历史数据，分析表明，该污染源10多年来面积扩大了4倍，  相似文献   

底部边界层颗粒态物质迁移特征的放射性核素分析方法     

李炎  G.W.Berger 《海洋科学》1992,16(4):66-68

利用颗粒态放射性核素携带的颗粒物历经过程信息,我们提出用泥沙扩散方程和颗粒态放射性核素扩散方程联解底部边界层颗粒态物质迁移参数的方法。分析实例的样品取自荷兰Waden Sea南部Balgzand潮滩(砂坪)和Mok湾潮滩(泥坪)的两个站位(BG1和Mok2)。示踪核素为~(234)Th,~(210)Pb和~(137)Cs,其放射性比度由r能谱测出。  相似文献   

云贵高原湖泊沉积物─水界面碱度扩散通量研究     

吴丰昌  万国江  黄荣贵 《海洋与湖沼》1997,(1)

于1991-1995年间5次在云贵高原泸沽湖、洱海湖和贵州阿哈湖、百花湖的湖心采集沉积物柱芯、界面水和湖水样品，通过其pH值和HCO-3浓度剖面及界面碱度扩散通量的研究，首次定量评估高原湖泊界面扩散作用上覆水体碱度的影响程度。研究结果表明，云贵高原某些湖水寄宿时间相对较长、湖水深度相对小的湖泊，界面扩散作用是水体碱度的重要来源之一;湖水寄宿时间较短、深度较小的湖泊，界面扩散对上覆水体的影响可以忽略不计。  相似文献   

云贵高原湖泊沉积物─水界面碱度扩散通量研究   总被引：4，自引：0，他引：4  

吴丰昌  万国江  黄荣贵 《海洋与湖沼》1997,28(1):66-71

于１９９１－１９９５年间５次在云贵高原泸沽湖，洱海湖和贵州阿哈湖，百花湖的湖心采集沉积物柱芯，界面水和湖水样品，通过其ｐＨ值和ＨＣＯ３浓度剖面及界面碱度扩散通量的研究，首次定量评估高原湖泊界面扩散作用上不体碱度的影响程度，研究结果表明，云贵高原某些湖水寄宿时间对较长，湖水深度相对小的湖泊，界面扩散作用是水体碱度的重要来源之一，湖水寄宿时间较短，深度较小的湖泊，界面扩散对上覆水体的影响可以忽略不地。  相似文献   

扩散-离子色谱法测定植物样中的氟          下载免费PDF全文

曹磊  赵斌  周泳德 《江苏地质》2012,36(2):216-218

采用扩散法提取植物样中的氟,用离子色谱法检测氟的含量。经试验,样品加标回收率在94.7%～104.7%之间,样品质量分数为7.10μg/g时,RSD为1.41%。此法操作简单,准确度高,精密度好,是一种测量植物样中氟含量的有效方法。  相似文献   

Practical kinetic modeling of petroleum generation and expulsion     

John G. Stainforth 《Marine and Petroleum Geology》2009

Models for petroleum generation used by the industry are often limited by (a) sub-optimal laboratory pyrolysis methods for studying hydrocarbon generation, (b) over-simple models of petroleum generation, (c) inappropriate mathematical methods to derive kinetic parameters by fitting laboratory data, (d) primitive models of primary migration/expulsion and its coupling with petroleum generation, and (e) insufficient use of subsurface data to constrain the models. Problems (a), (b) and (c) lead to forced compensation effects between the activation energies and frequency factors of reaction kinetics that are wholly artificial, and which yield poor extrapolations to geological conditions. Simple switch or adsorption models of expulsion are insufficient to describe the residence time of species in source rocks. Yet, the residence time controls the thermal stresses to which the species are subjected for cracking to lighter species.  相似文献