A note on estimation of the Jacobian elliptic parameter in cnoidal wave theory

A new and simple calculating technique for the Jacobian elliptic parameter is presented in this study. The technique is very useful in generating a train of cnoidal waves in both laboratory and numerical wave tanks. Upon specification of water depth, the wave height and either the wave period or the wavelength, the proposed technique uses the Newton–Raphson method to estimate the Jacobian elliptic parameter directly, without trial and error procedures or look-up in tables. It is shown that the technique provides equally accurate results as the ad hoc methods previously used.     

An empirical formula for friction coefficient of a perforated wall with vertical slits

The friction coefficient in the permeability parameter of a perforated wall has been estimated on the basis of a best fit between measured and predicted values of such hydrodynamic coefficients as reflection and transmission coefficients. In the present study, an empirical formula for the friction coefficient is proposed in terms of known variables, i.e., the porosity and thickness of the perforated wall and the water depth. This enables direct estimation of the friction coefficient without invoking a best fit procedure. To obtain the empirical formula, hydraulic experiments are carried out, the results of which are used along with other researchers' results. The proposed formula is used to predict the reflection and transmission coefficients of various types of structures including a perforated wall. The concurrence between the experimental data and calculated results is good, verifying the appropriateness of the proposed formula. It is also shown that the proposed formula can be used for irregular waves as well.     

地震活动性参数b值和年发生率的一种取值方法

介绍了一种将历史地震与现代小震统计结果相协调,去不可靠或不稳定数据段确定地震活动性参数ｂ值,以及通过不同震级下限地震频度的时间滑动分析,选取现今与历史相近,且具较高震级下限的统计结果,推算４级以上地震年发生度ｖ４的方法。计算给出了东南沿海地震带及其南带,北带的ｂ值和ｖ４值。     

Using a H∞ filter assimilation procedure to estimate root zone soil water content

Root zone soil water content impacts plant water availability, land energy and water balances. Because of unknown hydrological model error, observation errors and the statistical characteristics of the errors, the widely used Kalman filter (KF) and its extensions are challenged to retrieve the root zone soil water content using the surface soil water content. If the soil hydraulic parameters are poorly estimated, the KF and its extensions fail to accurately estimate the root zone soil water. The H‐infinity filter (HF) represents a robust version of the KF. The HF is widely used in data assimilation and is superior to the KF, especially when the performance of the model is not well understood. The objective of this study is to study the impact of uncertain soil hydraulic parameters, initial soil moisture content and observation period on the ability of HF assimilation to predict in situ soil water content. In this article, we study seven cases. The results show that the soil hydraulic parameters hold a critical role in the course of assimilation. When the soil hydraulic parameters are poorly estimated, an accurate estimation of root soil water content cannot be retrieved by the HF assimilation approach. When the estimated soil hydraulic parameters are similar to actual values, the soil water content at various depths can be accurately retrieved by the HF assimilation. The HF assimilation is not very sensitive to the initial soil water content, and the impact of the initial soil water content on the assimilation scheme can be eliminated after about 5–7 days. The observation interval is important for soil water profile distribution retrieval with the HF, and the shorter the observation interval, the shorter the time required to achieve actual soil water content. However, the retrieval results are not very accurate at a depth of 100 cm. Also it is complex to determine the weighting coefficient and the error attenuation parameter in the HF assimilation. In this article, the trial‐and‐error method was used to determine the weighting coefficient and the error attenuation parameter. After the first establishment of limited range of the parameters, ‘the best parameter set’ was selected from the range of values. For the soil conditions investigated, the HF assimilation results are better than the open‐loop results. Copyright © 2010 John Wiley & Sons, Ltd.     

利用消去刚度法进行剪切型系统物理参数识别

提出了 1种能够比较准确地识别剪切型体系的结构参数 (各层质量和层间刚度 )的方法———消去刚度法。该方法从剪切型结构体系的特征值问题出发 ,利用剪切型结构系统质量矩阵和刚度矩阵的特殊形式 ,通过消去各层的刚度系数 ,得到了结构系统的各层质量比表达式。在结构总质量已知的情况下 ,仅利用系统的任意两阶模态信息就可以确定出各层质量 ,并进而计算出层间刚度 ,实现了结构物理参数的递推识别。数值模拟结果表明 ,该方法识别精度较高 ,便于工程应用 ,可以用于类似结构体系的物理参数的初步估计。     

运用H、O同位素分析石阡地区地热水来源

通过对贵州省石阡地区地热水、冷泉及河流的地热地质条件、水化学成分及氢氧同位素分析,对该地区的地热水、冷泉及河流的水化学特征、来源及石阡地区的补给模式进行了研究.温泉水属于低中矿化度的弱碱性水;温泉群中阳离子以Ca2+、Mg2+为主,阴离子以SO42-和HCO3-为主,研究区水化学类型主要为HCO3-Ca和SO4.HCO...     

层理性页岩力学参数对水力压裂裂缝形态的影响分析

岩石力学性质及地应力等地质力学参数是进行储层压裂改造的基础数据,影响着整个压裂设计的准确性。由于页岩层理发育及矿物组成的复杂性、页岩力学性质的横观各向同性,所以基于传统力学模型获取的压裂参数设计将丧失意义。以横向各向同性模型体现层理发育页岩储层的力学性质,通过简化的横纵弹性模量和泊松比可以较好地表达出页岩的横观各向同性,并总结了横观各向同性地应力解释方法。基于上述理论,应用商业化水力压裂数模软件对四川盆地某层理页岩储层进行了压裂设计,比较了基于横观各向同性模型与传统模型解释力学参数差异,非常规储层动静态力学参数转换,同时通过改变射孔位置研究了起裂点对裂缝形态的影响。研究发现,横观各向同性解释的杨氏模量、地应力要略高于传统方法,同时横观各向同性解释的地层地应力差较小,所以受不同射孔位置的变化对裂缝几何的形态影响要远远高于各向同性模型模拟的结果,特别是缝高变化更为明显。同时数据表明,在高应力区射孔将形成更为狭窄缝宽的水力裂缝,这会严重影响后续支撑剂的进入,以上结论将为提高页岩储层的压裂设计精确性给予重要帮助。     

中国地震历史资料的信息开发与利用

本文对全国历史地震资料的有用信息作了进一步的开发和利用，按统一方法处理了大量有感以上地震的文字记载，确字每个独立地震的时间与地点；分区求得地震的有感区长半径与震级的关系式；确定了历史有感地震的最低震级为４；取得了８０００余次有感地震垢基本参数；用等震线测定了巨大地震的参数；将有感强震目录统编成全国与几个大区Ｍ≥４．０地震目录，按《地震学地震预报实用程序系统》（ＥＰＳＥＩＳ）的格式要求建库；同时编制     

等离子体片离子与太阳风及地磁条件的关联研究

本文根据搭载于Cluster卫星的CIS/CODIF和RAPID仪器的观测数据,统计研究了等离子体片中的H+、O+离子在磁暴期间的时间变化特性,及其对太阳风条件的响应.观测结果表明：(1) 磁暴开始前,O+离子（0~40 keV）数密度保持在较低水平.随着磁暴的发展,O+数密度缓慢上升,其峰值出现在Dst极小值附近;H+离子(0~40 keV)数密度在磁暴开始之前的较短时间迅速增加并达到峰值,在磁暴开始之后迅速降低,并在整个主相和恢复相期间保持在相对较低水平.更高能量的离子则在磁暴开始后迅速增多,并在低能O+离子达到峰值之前达到峰值.因此我们推测磁暴初期从等离子体片注入环电流的主要是H+离子,主相后期O+离子可能扮演更为重要的角色.(2)在地磁活动时期,太阳风密度和动压强与等离子体片中的H+、O+数密度存在一定相关性.等离子体片中的H+离子对北向IMF Bz较为敏感,而IMF Bz南向条件下更有利于太阳风参数对等离子体片中O+数密度的影响.在地磁活动平静期,太阳风条件对等离子体片中的离子没有明显影响.     

Generalized plasticity state parameter‐based model for saturated and unsaturated soils. Part 1: Saturated state

The behavior of granular materials is known to depend on its loose or dense nature, which in turns depends both on density and confining pressure. Many models developed in the past require the use of different sets of constitutive parameters for the same material under different confining pressures. The purpose of this paper is to extend a basic generalized plasticity model for sands proposed by Pastor, Zienkiewicz and Chan by modifying the main ingredients of the model flow—rule, loading–unloading discriminating direction and plastic modulus—to include a dependency on the state parameter. The proposed model is tested against the available experimental data on three different sands, using for each of them a single set of material parameters, finding a reasonably good agreement between experiments and predictions. Copyright © 2010 John Wiley & Sons, Ltd.