Solution for a plane strain rough‐walled hydraulic fracture driven by turbulent fluid through impermeable rock

The impact of turbulent flow on plane strain fluid‐driven crack propagation is an important but still poorly understood consideration in hydraulic fracture modeling. The changes that hydraulic fracturing has experienced over the past decade, especially in the area of fracturing fluids, have played a major role in the transition of the typical fluid regime from laminar to turbulent flow. Motivated by the increasing preponderance of high‐rate, water‐driven hydraulic fractures with high Reynolds number, we present a semianalytical solution for the propagation of a plane strain hydraulic fracture driven by a turbulent fluid in an impermeable formation. The formulation uses a power law relationship between the Darcy‐Weisbach friction factor and the scale of the fracture roughness, where one specific manifestation of this generalized friction factor is the classical Gauckler‐Manning‐Strickler approximation for turbulent flow in a rough‐walled channel. Conservation of mass, elasticity, and crack propagation are also solved simultaneously. We obtain a semianalytical solution using an orthogonal polynomial series. An approximate closed‐form solution is enabled by a choice of orthogonal polynomials embedding the near‐tip asymptotic behavior and thus giving very rapid convergence; a precise solution is obtained with 2 terms of the series. By comparison with numerical simulations, we show that the transition region between the laminar and turbulent regimes can be relatively small so that full solutions can often be well approximated by either a fully laminar or fully turbulent solution.     

采用复合单元法模拟裂隙多孔介质变饱和流动

采用复合单元法建立了模拟裂隙多孔介质变饱和流动的数值模型。该模型具有以下特点:裂隙不需要离散成特定单元,而是根据几何位置插入到孔隙基质单元中形成复合单元;在复合单元中,分别建立裂隙流和孔隙基质流的计算方程,二者通过裂隙-基质界面产生联系并整合成复合单元方程;复合单元方程具有和常规有限单元方程相同的格式,因此,可以使用常规有限单元方程的求解技术。采用欠松弛迭代、集中质量矩阵以及自适应时步调节等技术,开发了裂隙多孔介质变饱和流动计算程序。通过模拟一维干土入渗和复杂裂隙含水层内的流动问题,验证了该模型的合理性和适用性。模拟结果为进一步认识非饱和裂隙含水层地下水流动特性提供了理论依据。     

上市公司与客户联系视角下的中国城际网络结构时空演化研究

企业间的联系是城市联系的重要组成部分,加强对基于企业间联系的城市功能网络分析对丰富城市网络理论研究具有重要意义。采用2010—2020年上市公司与其前五大客户间的贸易关系数据构建了中国城市网络,基于企业间的贸易联系视角分析城市网络时空演变特征。研究表明：(1) 2010—2020年间城市网络规模呈现先升后降的特征,整体网络密度较低,位于0.014～0.018之间;网络重心呈现“S”形空间轨迹变化和整体向南移动的趋势,网络总体空间结构由沿海向“T”形结构转变;(2)网络流量集中于少数节点城市,资金进出量前20城市总额占资金总流量的71.9%,北京、上海是网络的绝对核心,杭州、武汉、深圳、广州等省会或副省级城市承担着区域中心的功能,佛山、齐齐哈尔、南通等制造业发达城市是重要节点;(3)五大城市群中珠江三角洲网络密度最高,位于0.324～0.334之间,长江三角洲贸易总流量最高,为783.5亿元,长江中游城市群和成渝城市群网络发育相对滞后;(4)新冠疫情对整体网络的贸易流量和网络结构产生了明显影响,网络社团进一步分化重组,广州—深圳社团明显增强,上海社团明显减弱。研究结果对推动国内大循环和统...     

Inter- and intra-annual trend analysis of water level and flow in the middle and lower reaches of the Ganjiang River,China

ABSTRACT

The Ganjiang River is the largest tributary of Poyang Lake in China, and its hydrological regime variation greatly affects the utilization of regional water resources and the ecological environment of the lake. In this study, a novel trend analysis method, the Moving Average over Shifting Horizon (MASH), was applied to investigate the inter- and intra-annual trends of flow and water level from 1976 to 2016 at the Xiajiang and the Waizhou hydrological stations in the Ganjiang River. The Significant Change Rate Method (SCRM) was proposed to determine the MASH averaging parameters. The trend analysis results show a statistically significant decrease in water level series throughout the year and the relationship of flow and water level have changed greatly at the Waizhou station. The sediment load reduction, large-scale sand mining and water level decrease of Poyang Lake are identified as the main causes for the water level decrease.     

An analytical study on three‐dimensional versus two‐dimensional water table‐induced flow patterns in a Tóthian basin

Although it has been increasingly acknowledged that groundwater flow pattern is complicated in the three‐dimensional (3‐D) domain, two‐dimensional (2‐D) water table‐induced flow models are still widely used to delineate basin‐scale groundwater circulation. However, the validity of 2‐D cross‐sectional flow field induced by water table has been seldom examined. Here, we derive the analytical solution of 3‐D water table‐induced hydraulic head in a Tóthian basin and then examine the validity of 2‐D cross‐sectional models by comparing the flow fields of selected cross sections calculated by the 2‐D cross‐sectional model with those by the 3‐D model, which represents the “true” cases. For cross sections in the recharge or discharge area of the 3‐D basin, even if head difference is not significant, the 2‐D cross‐sectional models result in flow patterns absolutely different from the true ones. For the cross section following the principal direction of groundwater flow, although 2‐D cross‐sectional models would overestimate the penetrating depth of local flow systems and underestimate the recharge/discharge flux, the flow pattern from the cross‐sectional model is similar to the true one and could be close enough to the true one by adjusting the decay exponent and anisotropy ratio of permeability. Consequently, to determine whether a 2‐D cross‐sectional model is applicable, a comparison of hydraulic head difference between 2‐D and 3‐D solutions is not enough. Instead, the similarity of flow pattern should be considered to determine whether a cross‐sectional model is applicable. This study improves understanding of groundwater flow induced by more natural water table undulations in the 3‐D domain and the limitations of 2‐D models accounting for cross‐sectional water table undulation only.     

Slump debris flows in the Akovolwo Mountains area of Benue State,Nigeria

In September 1979, rain-induced complex landslides occurred in two separate localities along the slopes of the Akovolwo Mountains near Jato-Aka in the Kwande Local Government area of Benue State, Nigeria.The two movements developed on bedrock slopes covered by a veneer of colluvium and (or) residuum no more than 1.5 to 2m deep. Each started as a slump and graduated into a debris flow. The slump, extending downhill a short distance away from the head scarp, had been reconstituted into a debris flow as the initial movement (sliding movement) of the soil mass caused remoulding of the saturated moving mass into viscous debris-laden mud. The resulting mass moved partly along a pre-existing mountain stream channel and partly along a fresh channel it cleared in the savanna forest. At the break of slope, the mass of boulders was dumped and a trail of smaller fragments littered the channels towards the Katsina-Ala River.     

基于LBS和深度学习的旅游景区客流量的高时频预测

为实现精准的旅游景区客流量的高时频预测,本研究构建了一套基于LBS和深度学习模型的预测方法。此方法可通过对LBS数据的转换实现预测的空间范围与时频控制,并通过方法的核心模型——基于双向循环神经网络和GRU算法构建的深度双向GRU(DBi-GRU)模型完成预测。为检验方法的有效性,研究以深圳大梅沙海滨公园为例对方法进行实验测试。实验使用拟合曲线、误差指标及DM检验3种方法评估DBi-GRU模型的预测效果。此外,实验还设置了其他五种深度学习模型作为DBi-GRU的对照模型,测试基于不同深度学习算法的模型之间的预测水平差异。实验结果表明:(1)本研究提出的DBi-GRU模型在景区客流量高时频预测中具有理想的预测效果,在高峰时段的客流量预测方面也具有较高准确性,预测效果明显优于其他深度学习模型;(2)基于双向循环网络的模型的效果普遍优于基于常规循环网络的模型。尤其是基于双向LSTM算法的模型,虽然预测的准确度略逊色于DBi-GRU模型,但在模型性能上与其的差异并不显著;(3)在相同网络参数下,GRU算法较前人采用的LSTM和RNN算法有着更高的预测准确性。本研究为客流量预测领域的研究提供了一种...     

青南高原大气降水变化规律及其对黄河上游地区水资源的影响

利用1959～1997年黄河上游地区降水、流量资料,用EOF、REOF等数理统计方法,分析了黄河上游地区降水与流量之间的关系,并对黄河上游地区的水资源进行了估算。分析得出：龙羊峡年入库流量的丰枯主要与黄河上游地区的年降水量有关,春季流量的丰枯主要与上一年秋季的流量、春季的降水量有关,夏、秋季流量的丰枯主要与同期的降水量有关。     

福建春季西南急流暖湿强迫背景下的强对流天气流型配置及环境条件分析

根据2002—2013年福建26次春季强对流天气过程中12例由西南急流暖湿强迫产生的强对流天气的高低空环流配置,利用常规高空、地面观测资料以及NCEP再分析资料,运用中尺度对流天气的天气图分析技术建立福建春季西南风低空急流暖湿强迫背景下的强对流天气流型的识别方法,并统计静力稳定度、水汽、抬升和垂直风切变条件及相应物理量要素,初步揭示了福建省春季西南急流暖湿强迫背景下的强对流天气过程的特征和规律。此类强对流天气是由对流层中、高层干冷空气位于低层强烈发展的暖湿平流之上形成显著条件不稳定层结,逆温、干暖盖、中低层有利的水汽条件,上干下湿的温湿廓线以及低空辐合、高空辐散为强对流天气的发生提供了有利的环境条件,强对流天气系统由地面的锋面、辐合线、热低压、925 hPa辐合线以及西南急流脉动等中尺度天气系统触发,对流生成后在西南风急流引导下移入有利于对流发展的不稳定区域使得对流持续发展,强垂直风切变配合较大的对流有效位能有利于对流风暴持续发展。     

大地热流测量数据子库

大地热流数据子库是建立在Microsoft Access 97基础上,以Microsoft Visual Basic 6.0开发、基于Windows平台上的集数据储存、编辑、报表打印输出及基本数据解释处理于一体的数据库管理软件.具有运行速度快、操作简单、易学及可靠性强等优点.特别编制了强大的数据查询系统,提供了各种查询方式,大大方便了用户.