利用梯度重建的稳健多频InSAR相位解缠方法

为解决常规InSAR系统因干涉相位欠采样所导致的陡峭地区高程提取困难问题,提出一种利用多频干涉量进行相位梯度重建并实现相位解缠的处理方法。基于干涉相位的统计分布特性,研究了多频InSAR相位梯度的最大似然估计原理,针对有限观测频点情况下梯度解模糊性能对相位噪声敏感的问题,提出通过基于邻点集的局部曲面建模进行相位梯度重建的稳健算法,并从频点选择、估计区间限定等方面进一步研究了提高算法稳健性的途径。最后通过对仿真和实际DEM数据的试验,验证该方法的有效性。     

Extensions of GAP‐tree and its implementation based on a non‐topological data model

This paper discusses extensions of GAP‐trees from three aspects and its implementation based on non‐topological structure in order to enhance access to large vector data sets. First of all, we apply cartographic generalization rules to build a generalization procedure of the GAP‐tree, which makes coarse representations more consistent with human cognition. Second, we replace the three‐dimensional (pseudo‐) Reactive‐tree index with a 2D R‐tree index and a B‐tree index to improve the system efficiency. Finally, we compress a binary GAP‐tree into multi‐way GAP‐trees in order to reduce data redundancy. The shallower multi‐way GAP‐trees not only eliminate redundant data but also accelerate the system's response time. The extensions have been successfully implemented in PostgreSQL. A test of Beijing's land‐use data at the 1:10 000 scale demonstrates that the extended GAP‐trees are efficient, compact, and easy to implement.     

Explicit versus implicit front advancing schemes for the simulation of hydraulic fracture growth

The proper computation of the time evolution of the fracture front is the main challenge of three-dimensional (3D) hydraulic fracture growth simulation. We discuss explicit and implicit variants of a hydraulic fracture propagation scheme based on a level set representation of the fracture. Such a scheme couples a finite discretization of the governing equations and the near-tip hydraulic fracture asymptotes. We benchmark the accuracy, robustness, and stability of these different front advancing schemes on a number of test cases. Our results indicate a large computational gain of the explicit scheme at the expense of a slightly less accurate solution (few percent less accuracy over few time steps) when crossing heterogeneities. The predictor corrector scheme combines at least an approximately 25% computational gain while retaining the stability and accuracy of the fully implicit version of the scheme in all cases.     

Numerical prediction of gas migration properties in Callovo‐Oxfordian (COx) argillite using morpho‐mathematical operations

The feasibility study of long‐term radioactive waste storage in low‐permeable rocks has been performed by considering various damage and failure scenarios. This study aims at the numerical investigation of gas (mainly produced by corrosion of metallic parts) migration properties through the low‐permeable formation of Callovo‐Oxfordian argillite. Traditional methods, based on macroscopic approaches or homogeneous transport properties, are inappropriate to analyze this issue at the mesoscopic/microscopic scale. In this study, realistic porous space morphologies are constructed through union of excursions of random fields considering different experimental pore size distributions. Afterwards, purely geometric analysis of pore space is conducted by morpho‐mathematical operations for the purpose of the extraction of preferential gas transport pathways and the prediction of the gas entry pressure, the gas breakthrough pressure, and the following imbibition process.     

Glacier Peak and mid-Lateglacial Katla cryptotephras in Scotland: potential new intercontinental and marine-terrestrial correlations

Using contiguous high resolution sampling methods, we report the detection of a Glacier Peak volcanic ash from North America in Lateglacial Interstadial lake sediments in western Scotland. It occurs in close proximity to the Icelandic Borrobol and Penifiler tephras, but is distinguishable by its rhyolitic major-element composition that is consistent with the earliest set G layer, one of a number of mid-Interstadial Glacier Peak eruptions dated between 13.71 and 13.41 cal ka bp. Another cryptotephra layer present in these same Interstadial sediments has a rhyolitic composition consistent with the Icelandic Katla source. However, it is in a stratigraphic position below the widespread mid-Lateglacial Stadial Vedde Ash from Katla, which is also present in these cores. The Katla layer is stratigraphically well defined, suggesting primary airfall, and is compositionally similar to a mid-Interstadial rhyolitic tephra reported from a North Atlantic marine sequence south of Iceland dated to ~13.6 ka. The detection of Glacier Peak G in the European tephrostratigraphy will permit direct high-precision correlation of mid-Interstadial palaeoenvironments between North American and European terrestrial sequences. Any correlation between the new Katla layer and similar marine layers remains provisional, though if verified would permit similar correlation between North Atlantic marine and European terrestrial records.     

An inexact fuzzy-chance-constrained two-stage mixed-integer linear programming approach for flood diversion planning under multiple uncertainties

In this study, an inexact fuzzy-chance-constrained two-stage mixed-integer linear programming (IFCTIP) approach is developed for flood diversion planning under multiple uncertainties. A concept of the distribution with fuzzy boundary interval probability is defined to address multiple uncertainties expressed as integration of intervals, fuzzy sets and probability distributions. IFCTIP integrates the inexact programming, two-stage stochastic programming, integer programming and fuzzy-stochastic programming within a general optimization framework. IFCTIP incorporates the pre-regulated water-diversion policies directly into its optimization process to analyze various policy scenarios; each scenario has different economic penalty when the promised targets are violated. More importantly, it can facilitate dynamic programming for decisions of capacity-expansion planning under fuzzy-stochastic conditions. IFCTIP is applied to a flood management system. Solutions from IFCTIP provide desired flood diversion plans with a minimized system cost and a maximized safety level. The results indicate that reasonable solutions are generated for objective function values and decision variables, thus a number of decision alternatives can be generated under different levels of flood flows.     

定面射孔新工艺对水力裂缝扩展影响研究

定面射孔技术是为了提高体积压裂改造效果而提出的一种新的射孔方案。根据岩石力学及流-固耦合理论,建立了定面射孔地层的三维弹塑性流固-耦合地应力模型,采用数值方法进行求解,结合最大拉应力准则,研究了定面射孔水力裂缝的起裂规律。经过大量计算发现：定面射孔条件下,裂缝首先在射孔面内的射孔眼起裂,然后射孔眼相互贯通而形成扇形裂缝面,增大了水力裂缝的波及体积及井筒的连通性;同一平面内两侧孔眼在中间孔眼上产生的附加应力降低了Y方向主应力而增大了X方向和Z方向主应力,导致正断层采用定面射孔时,起裂压力较大,起裂压力随射孔方位角的增大而降低,只有当射孔方位角大于60°时,定面射孔起裂压力低于螺旋射孔起裂压力;对于逆断层,射孔方位角越小,起裂压力越低,且均低于螺旋射孔起裂压力;减小射孔间夹角、增大射孔直径及深度均可降低起裂压力。     

基于模糊C-均值算法粗糙集理论的云模型在岩爆等级评价中的应用

岩爆等级评价具有模糊性和不确定性,而粗糙集理论的云模型对处理模糊性和不确定性问题具有独特优势,由此提出了基于模糊C均值（简称FCM）算法粗糙集的云模型理论在岩爆等级评价中的新模型。该模型选用岩石单轴抗压强度 、洞室围岩最大的切向应力 、岩石单轴抗拉强度 和岩石弹性能量指数Wet作为岩爆等级评价因子,依据岩爆分级标准计算各评价因子隶属于不同岩爆等级的云数字特征。同时,以国内外40例岩爆工程为研究对象,运用基于FCM算法的粗糙度理论进行因子属性重要性评价,计算各评价因子权重。根据正向正态云发生器,得到待评样本的综合确定度,由最大综合确定度判定岩爆级别。研究表明：该模型的评价结果与实际情况基本一致,具有一定的可行性,为岩爆预测提供了一种新的研究方法与思路。     

扩展有限元法节点加强类型的确定

扩展有限元法的网格剖分不需要考虑裂纹的位置,但计算时需根据计算网格和裂纹位置关系确定加强节点和加强类型。一般根据加强单元类型确定加强节点和加强类型。确定加强单元类型,不仅要考虑裂纹位置,还要考虑单元形状。指出现有文献中只考虑裂纹位置根据节点水平集值判别加强单元类型的不足,提出相应的改进方法。对于复杂形状裂纹,采用水平集法确定加强单元类型并不方便;给出了一种确定加强单元类型、加强节点和加强类型的有效方法,即根据裂纹与单元边界交点数和裂纹拐点位置确定加强单元类型,然后根据加强单元类型确定加强节点及加强类型;给出了该方法详细的执行过程。算例分析表明了本文方法的正确性。     

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