The effect of expansion ratio on the critical Reynolds number in single fracture flow with sudden expansion

Flow in a single fracture (SF) is an important research subject in groundwater hydrology, hydraulic engineering, radioactive nuclear waste repository and geotechnical engineering. An abruptly changing aperture is a unique type of SF. This study discusses the relation between the values of the critical Reynolds number (Re_c) for the onset of symmetry breaking of flow and the expansion ratio (E) of SF, which is defined as the ratio between the outlet (D) and inlet (d) apertures. This study also investigates the effect of inlet aperture d on Re_c for flow in an SF with abruptly changing apertures (SF‐ACA) using the finite volume method. Earlier numerical and experimental results showed that flow is symmetric in respect to the central plane of the SF‐ACA at small Reynolds number (Re) but becomes asymmetric when Re is sufficiently large. Our simulations show that the value of Re_c decreases with the increasing E, and the relationship between the logarithm of Re_c and E can be described accurately using either a quadratic polynomial function or a logarithmic function. However, the relationship of Re_c and d for a given E value is vague, and Re_c becomes even less sensitive to d when E increases. This study also reveals that the hydraulic gradient (J) and flow velocity (v) follow a super‐linear relationship that can be fitted almost perfectly by the Forchheimer equation. The inertial component (J_i) of J increases monotonically with Re, whereas the viscous component (J_v) of J decreases monotonically with Re. The Re value corresponding to equal inertial and viscous components of J (named as the transitional point Re) decreases when E increases, and such a transitional point Re should be closely related to the critical Reynolds number Re_c, although a rigorous theoretical proof is not yet available. Copyright © 2015 John Wiley & Sons, Ltd.     

Assessing the effectiveness of imperviousness on stormwater runoff in micro urban catchments by model simulation

Imperviousness, considered as a critical indicator of the hydrologic impacts of urbanization, has gained increasing attention both in the research field and in practice. However, the effectiveness of imperviousness on rainfall–runoff dynamics has not been fully determined in a fine spatiotemporal scale. In this study, 69 drainage subareas <1 ha of a typical residential catchment in Beijing were selected to evaluate the hydrologic impacts of imperviousness, under a typical storm event with a 3‐year return period. Two metrics, total impervious area (TIA) and effective impervious area (EIA), were identified to represent the impervious characteristics of the selected subareas. Three runoff variables, total runoff depth (TR), peak runoff depth (PR), and lag time (LT), were simulated by using a validated hydrologic model. Regression analyses were developed to explore the quantitative associations between imperviousness and runoff variables. Then, three scenarios were established to test the applicability of the results in considering the different infiltration conditions. Our results showed that runoff variables are significantly related to imperviousness. However, the hydrologic performances of TIA and EIA were scale dependent. Specifically, with finer spatial scale and the condition heavy rainfall, TIA rather than EIA was found to contribute more to TR and PR. EIA tended to have a greater impact on LT and showed a negative relationship. Moreover, the relative significance of TIA and EIA was maintained under the different infiltration conditions. These findings may provide potential implications for landscape and drainage design in urban areas, which help to mitigate the runoff risk. Copyright © 2015 John Wiley & Sons, Ltd.     

Frequency analysis of nonstationary annual maximum flood series using the time‐varying two‐component mixture distributions

The most popular practice for analysing nonstationarity of flood series is to use a fixed single‐type probability distribution incorporated with the time‐varying moments. However, the type of probability distribution could be both complex because of distinct flood populations and time‐varying under changing environments. To allow the investigation of this complex nature, the time‐varying two‐component mixture distributions (TTMD) method is proposed in this study by considering the time variations of not only the moments of its component distributions but also the weighting coefficients. Having identified the existence of mixed flood populations based on circular statistics, the proposed TTMD was applied to model the annual maximum flood series of two stations in the Weihe River basin, with the model parameters calibrated by the meta‐heuristic maximum likelihood method. The performance of TTMD was evaluated by different diagnostic plots and indexes and compared with stationary single‐type distributions, stationary mixture distributions and time‐varying single‐type distributions. The results highlighted the advantages of TTMD with physically‐based covariates for both stations. Besides, the optimal TTMD models were considered to be capable of settling the issue of nonstationarity and capturing the mixed flood populations satisfactorily. Copyright © 2016 John Wiley & Sons, Ltd.     

内蒙古火龙沟铅锌矿床成矿岩体年代学、地球化学及其地质意义

内蒙古火龙沟铅锌矿床是近期勘查发现、预期可达中型规模以上的铅锌矿床之一,笔者对该矿区的侵入岩——正长花岗岩进行了LA-MC-ICP-MS锆石U_Pb定年和主量、微量元素分析,锆石U_Pb定年结果为(224.0±2.5)Ma,表明,该岩体侵位于晚三叠世。岩石地球化学研究结果显示火龙沟正长花岗岩体具有明显富Si O2和ALK、贫Mg O和TFe的特点,A/NK-A/CNK图解显示正长花岗岩属于准铝质花岗岩。微量元素蛛网图显示富集大离子亲石元素Rb、Th、U、K,亏损高场强元素Nb、Ta、Ti。稀土元素配分模式表现出富集LREE,亏损HREE的右倾型,LREE/HREE=8.04~10.40,具有明显Eu的负异常。花岗岩锆饱和温度计算结果表明该花岗岩岩浆形成温度为820℃,属于高温花岗岩,以上地球化学特征和高温的特点表明该花岗岩为A型花岗岩。结合区域构造演化历史,笔者认为该花岗岩体形成于古亚洲洋闭合后的造山后垮塌岩石圈伸展构造环境。     

华北克拉通西部鄂尔多斯地块长城系碎屑锆石LA-ICP-MS U-Pb测年及意义

自1.85 Ga西部陆块与东部陆块沿中部造山带碰撞拼合形成统一的华北克拉通之后,中—新元古代克拉通经历了广泛的陆内拉伸,形成了熊耳裂陷槽、燕辽裂陷槽、渣尔泰—白云鄂博—化德裂陷槽及东缘裂谷系。前人根据钻井资料及区域地层对比认为鄂尔多斯地块变质基底之上沉积了中元古代长城系—蓟县系。其中,长城系下部主要为石英岩夹板岩,上部为粉砂质板岩、硅质板岩及含燧石条带白云质灰岩与石英砂岩;蓟县系以白云岩为主,夹少量砂岩、页岩。本文对采自鄂尔多斯地块6口钻井中的长城系进行了碎屑锆石年代学研究。结果表明,鄂尔多斯地块长城系浅变质沉积岩的碎屑锆石年龄组成了1.60 Ga、1.85 Ga、1.95 Ga、2.35 Ga和2.50 Ga等峰值。与华北克拉通内部中—新元古代沉积岩碎屑锆石年龄峰值对比结果表明,长城系沉积岩的碎屑物质来自华北克拉通内部。结合区域钻井资料及前人研究成果,推断中元古代鄂尔多斯地块北缘及东缘为隆起剥蚀区,西南部为沉积区,其西南缘为被动大陆边缘,与北秦岭地体之间被宽坪洋分隔。     

利用双线偏振雷达分析人工防雹作业效果

以北京市平谷区2011年6月11日防雹作业为例,利用双线偏振雷达资料,选取与作业区条件十分接近的云块为对比区,根据回波移动方向和速度,跟踪分析在不同高度上防雹作业前后云体宏观结构特征和粒子相态等微物理变化过程。作业后云体所呈现特征为:1作业区的云顶高度、强回波中心高度迅速下降,对比区变化不明显;2作业区水平反射率Zh减小,差分反射率Zdr、零相关系数ρhv增大,单位差分传播相移Kdp小范围内波动,对比区Zh、Zdr、Kdp变化不明显;ρhv增大;3作业区对流减弱,高层较大冰雹粒子、大雨滴下沉明显,最终以霰粒子为主;而对比区域则对流仍然旺盛,冰雹粒子有增多趋势。以上特征表明防雹作业可有效抑制冰雹胚胎成长为冰雹的过程,通过偏振雷达观测参量可对防雹作业效果进行较好的验证。