某滑坡稳定分析及处理方案探讨

滑坡属于不良地质现象,是斜坡上的部分岩体和土体在自然或人为因素的影响下沿某一明显的界面发生剪切破坏向坡下运动的现象。当高速公路不得不通过某一滑坡时,对其稳定性进行分析和整治设计就显得尤为重要。以祁临高速公路灵石至霍州段窑深沟大桥东南窑深沟滑坡为实例,根据勘察资料,利用岩土力学知识,在公路修好后并运行的情况下,计算出了其稳定系数和推滑力,又以材料力学、结构力学等力学理论为基础,设计出抗滑桩和锚索抗滑桩等两种整治方案,经验证,效果良好。     

Repeat Ground Track Orbits of the Earth Tesseral Problem as Bifurcations of the Equatorial Family of Periodic Orbits

Orbits repeating their ground track on the surface of the earth are found to be members of periodic-orbit families (in a synodic frame) of the tesseral problem of the Earth artificial satellite. Families of repeat ground track orbits appear as vertical bifurcations of the equatorial family of periodic orbits, and they evolve from retrograde to direct motion throughout the 180 degrees of inclination. These bifurcations are always close to the resonances of the Earth's rotation rate and the mean motion of the orbiter.     

The key‐group method

This paper proposes an extension to the key‐block method, called ‘key‐group method’, that considers not only individual key blocks but also groups of collapsable blocks into an iterative and progressive analysis of the stability of discontinuous rock slopes. The basics of the key‐block method are recalled herein and then used to prove how key groups can be identified. We reveal that a key group must contain at least one basic key block, yet this condition is not entirely sufficient. The second block candidate for grouping must be another key block or a block whose movement‐preventing faces are common to one or more single key blocks. We also show that the proposed method yields more realistic results than the basic key‐block method and a comparison with results obtained using a distinct element analysis demonstrates the ability of this new method. Copyright © 2003 John Wiley & Sons, Ltd.     

陕西省岚皋县城关镇泥石流形成条件及其防治

本文论述了陕西省岚皋县城关镇一带近年来所爆发的泥石流的形成条件、发育特征和发展趋势。据此文中提出了区内小白虎崖泥石流的发育过程模式和对区内泥石流的防治原则和措施。     

Modeling of complex multi-aquifer systems for groundwater resources evaluation—Swidnica study case (Poland)

An example of groundwater resources evaluation methodology by numerical modeling in the complex, unconsolidated, multi-aquifer system of the Swidnica area (~627 km²) is presented. In this study Groundwater Modeling System (GMS) was used to develop a conceptual model on the basis of data from several hundred boreholes and to calibrate a numerical, multi-aquifer model. A steady state calibration was performed using historical natural groundwater table (quasi-natural simulation) data and abundant pumping test transmissivity data. The calibrated recharge was first spatially distributed based on surface lithology and then adjusted until a good match between calculated and measured heads was obtained. The quasi-natural simulation budget input of ~165,000 m³/day consisted of 40.5% of lateral inflow from the SW fault model boundary, 34.5% of average net recharge from precipitation, 13% of infiltration from the Mietkowskie Lake and 12% of river infiltration. The budget output (the same as input) consisted of ~ 88% of river drainage and ~ 12% of lateral outflow. The final, abstraction-influenced simulation representing the current stationary condition was used to verify the model by cross referencing present well drawdowns with well abstractions and by comparison of the groundwater discharge to the rivers with the field baseflow measurements. In this simulation, the total well abstraction of ~53,000 m³/d resulted in 9% increase in overall water balance up to ~180,000 m³/day, 38% increased river infiltration, 24% reduced river drainage, 17% reduced lateral outflow and ~3 times increased downward leakage to the deepest, productive aquifer. The Swidnica study case shows an example, which analyzes an impact of well abstractions on the decline of groundwater table and river discharges, concluding that reserves of renewable water resources are still available. It shows also, that by setting up a conceptual model within the numerical model environment and by applying a quasi-3D solution, complex multi-aquifer systems can be well and efficiently modeled.

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Resumen Se presenta un ejemplo de metodología de evaluación de recursos de aguas aubterráneas por medio de modelación numérica en el sistema multi-acuífero, complejo, no consolidado del área de Swidnica (~627 km2). Em este estudio se utilizó un sistema de modelamiento de aguas subterráneas (GMS) para desarrollar un modelo conceptual sobre la base de datos de varios cientos de pozos y para calibrar un modelo multi-acuífero numérico. Se llevó a cabo calibración de un estado constante mediante el uso de datos históricos del manto de aguas subterráneas (simulación casi natural) y de abundantes datos de transmisividad de las pruebas de bombeo. En primer lugar se distribuyó la recarga calibrada en base a la litología de superficie y luego se ajustó hasta obtener una buena correlación entre las cimas calculadas y las medidas. El casi natural presupuesto en la simulación de ~165,000 m3/día consistió de 40.5 % de influjo lateral del límite del modelo de la falla SO, 34.5% de recarga neta promedio de precipitación, 13 % de infiltración del lago Mietkowskie y 12% de infiltración de los ríos. El presupuesto de los productos (output) (igual que el input)consistió de ~ 88 % de drenaje de los ríos y ~ 12 % de flujo lateral. La simulación final, influida por la abstracción, que representa la condición estacionaria actual se utilizó para verificar el modelo mediante la verificación cruzada de los conos de abstracción actuales con abstracciones de los pozos y mediante la comparación de la descarga de aguas subterráneas a los ríos con las medidas de flujo de base de terreno. En esta simulación, la abstracción total de los pozos de ~53,000 m3/d dio como resultado un incremento de 9 % en el balance de gua total de hasta ~180,000 m3/día, un incremento de 38 % infiltración de los ríos, una reducción de 24 % del drenaje a los ríos, una reducción de 17 % del eflujo lateral y un incremento de ~3 veces de filtración hacia abajo al acuífero má profundo productivo. El caso de estudio Swidnica muestra un ejemplo que analiza el impacto de las instalaciones de abstraccion de pozos sobre el decrecimiento del mato de aguas subterráneas y descargas de ríos. Sin embargo, la conclusión es que las reservas de recursos aguas renovables están disponibles todavía. También muestra que los sistemas multi-acuíferos complejos se puede modelar eficientemente y satisfactoriamente al establecer un modelo conceptual dentro del ambiente de un modelo numérico y mediante la aplicación de soluciones casi 3D.

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Resumé Un exemple méthodologique dévaluation des ressources en eau souterraine par modélisation numérique dun système aquifère multiple complexe et non-consolidé de la région de Swidnica (~627 km2) est présenté. Le système de modélisation de leau souterraine GMS (Groundwater Modeling System) est utilisé afin de développer un modèle conceptuel basé sur les données provenant de plusieurs centaines de puits, ainsi que pour caler le modèle numérique daquifère multiple. Une calibration en régime permanent a été effectuée en utilisant les données historiques du niveau naturel de la nappe phréatique (simulation quasi-naturelle) et les données de transmissivité provenant de nombreux essais de pompage. La recharge calibrée a été obtenue en utilisant dabord des valeurs spatiallement distribuées en fonction de la lithologie de surface qui ont par la suite été ajustées jusquà ce quune bonne correspondance entre les charges mesurées et simulées soit obtenue. Le bilan des intrants deau pour la simulation quasi-naturelle de ~165,000 m3/j est réparti comme suit: 40.5% provenant dentrée deau latérale le long de la limite sud-ouest du modèle qui représente une faille, 34.5% de recharge moyenne nette provenant des précipitations, 13% dinfiltration provenant du lac Mietkowskie et 12% dinfiltration provenant de rivières. Le bilan des extrants deau qui forme le même volume que les intrants est réparti entre ~88% de drainage par les rivières et ~12% découlement latéral. La simulation finale influencée par le captage qui représente les conditions actuelles a été utilisée afin de vérifier le modèle en comparant le rabattement actuel avec le captage des puits et en comparant lécoulement deau vers les rivières avec les valeurs découlement de base des rivières mesurées sur le terrain. Dans cette simulation, le total deau pompé (~53,000 m3/j) produit une augmentation de 9% dans le bilan deau total qui devient ~180,000 m3/j, une augmentation de 38% dinfiltration par les rivières, une réduction de 24% du drainage par les rivières, une réduction de 17% de lécoulement de sortie latéral et une augmentation denviron 3 fois du drainage vers le bas vers laquifère le plus productif. Létude de cas de Swidnica montre un exemple qui analyse limpact dinstallation de puits de captage sur le déclin de la nappe phréatique et sur la décharge dans les rivières, en concluant par contre, que les réserves en eau renouvelable sont toujours disponibles. Cet exemple montre également quen construisant un modèle conceptuel avec un environnement de modèle numérique et quen appliquant une solution quasi 3D, les systèmes multiaquifères complexes peuvent être bien et efficacement modélisés.

     

The general solution of the HENON–HEILES problem

The general solution of the Henon–Heiles system is approximated inside a domain of the (x, C) of initial conditions (C is the energy constant). The method applied is that described by Poincaré as ‘the only “crack” permitting penetration into the non-integrable problems’ and involves calculation of a dense set of families of periodic solutions that covers the solution space of the problem. In the case of the Henon–Heiles potential we calculated the families of periodic solutions that re-enter after 1–108 oscillations. The density of the set of such families is defined by a pre-assigned parameter ε (Poincaré parameter), which ascertains that at least one periodic solution is computed and available within a distance ε from any point of the domain (x, C) for which the approximate general solution computed. The approximate general solution presented here corresponds to ε = 0.07. The same solution is further improved by “zooming” into four square sub-domain of (x, C), i.e. by computing sufficient number of families that reduce the density parameter to ε = 0.003. Further zooming to reduce the density parameter, say to ε = 10⁻⁶, or even smaller, although easily performable in both areas occupied by stable as well as unstable solutions, was found unnecessary. The stability of all members of each and all families computed was calculated and presented in this paper for both the large solution domain and for the sub-domains. The correspondence between areas of the approximate general solution occupied by stable periodic solutions and Poincaré sections with well-aligned section points and also correspondence between areas occupied by unstable solutions and Poincaré sections with randomly scattered section points is shown by calculating such sections. All calculations were performed using the Runge-Kutta (R-K) 8th order direct integration method and the large output received, consisting of many thousands of families is saved as “Atlas of the General Solution of the Henon–Heiles Problem,” including their stability and is available at request. It is concluded that approximation of the general solution of this system is straightforward and that the chaotic character of its Poincaré sections imposes no limitations or difficulties.     

Planar Symmetric Periodic Orbits in Four Dipole Problem

We have extend Stormer’s problem considering four magnetic dipoles in motion trying to justify the phenomena of extreme “orderlines” such as the ones observed in the rings of Saturn; the aim is to account the strength of the Lorentz forces estimating that the Lorentz field, co-acting with the gravity field of the planet, will limit the motion of all charged particles and small size grains with surface charges inside a layer of about 200 m thickness as that which is observed in the rings of Saturn. For this purpose our interest feast in the motion of charged particles with neglected mass where only electromagnetic forces accounted in comparison to the weakness of the Newtonian fields. This study is particularly difficult because in the regions we investigate these motions there is enormous three dimensional instability. Following the Poincare’s hypothesis that periodic solutions are ‘dense’ in the set of all solutions in Hamiltonian systems we try to calculate many families of periodic solutions and to study their stability. In this work we prove that in this environment charged particles can trace planar symmetric periodic orbits. We discuss these orbits in details and we give their symplectic relations using the Hamiltonian formulation which is related to the symplectic matrix. We apply numerical procedures to find families of these orbits and to study their stability. Moreover we give the bifurcations of these families with families of planar asymmetric periodic orbits and families of three dimensional symmetric periodic orbits.     

Numerical Exploration of Chermnykh’s Problem

We study the equilibrium points and the zero-velocity curves of Chermnykh’s problem when the angular velocity ω varies continuously and the value of the mass parameter is fixed. The planar symmetric simple-periodic orbits are determined numerically and they are presented for three values of the parameter ω. The stability of the periodic orbits of all the families is computed. Particularly, we explore the network of the families when the angular velocity has the critical value ω = 2√2 at which the triangular equilibria disappear by coalescing with the collinear equilibrium point L₁. The analytic determination of the initial conditions of the family which emanate from the Lagrangian libration point L₁ in this case, is given. Non-periodic orbits, as points on a surface of section, providing an outlook of the stability regions, chaotic and escape motions as well as multiple-periodic orbits, are also computed. Non-linear stability zones of the triangular Lagrangian points are computed numerically for the Earth–Moon and Sun–Jupiter mass distribution when the angular velocity varies.     

Methodological Development of the Conditional Sampling Method. Part II: Quality Control Criteria of Relaxed Eddy Accumulation Flux Measurements

Determination of biosphere–atmosphere exchanges requires accurate quantification of the turbulent fluxes of energy and of a wide variety of trace gases. Relaxed Eddy Accumulation (REA) is a method that has received increasing attention in recent years, because it does not require any rapid sensor for the scalar measurements as the Eddy Correlation method (EC) does. As in all micrometeorological studies, REA measurements in the atmospheric surface layer are valid under some restrictive conditions so as to be representative of a specific ecosystem. These conditions are the homogeneity of the underlying surface, stationary and horizontally homogeneous turbulence. For most experiments these conditions are not fully satisfied. Data uncertainties can also be related to not fulfilling the method principles or to the technical characteristics of the REA system itself. In order to assess REA measurement quality, a methodological approach of data analysis is developed in this study. This methodological analysis is based on the establishment of criteria for data quality control. A set of them, deduced from the mean and turbulent flow, are called ‘Dynamic criteria’ and are designated to control the stationarity and homogeneity of the w function and the validation of Taylor’s hypothesis. A second set (‘REA operational criteria’) is designed to check the sampling process and, more precisely, the homogeneity of the negative and positive selection process throughout the sampling period. A third set of criteria (‘Chemical scalar criteria’) concerns the scalar measurements. Results of the criteria application to data measured at two different experimental sites are also presented. Cut-off limits of criteria are defined based on their statistical distribution and shown to be specific for each site. Strictness of each criterion, defined by the percentage of flagged samples, is analysed in conjunction with the meteorological conditions and atmospheric stability. It is found that flagged samples mainly correspond to neutral and stable nocturnal conditions. During daytime, nearly free convection conditions can also yield poor quality data.     

Bayesian Discovery Process Modeling of the Lower and Middle Jurassic Play of the Halten Terrace,Offshore Norway,as Compared with the Previous Modeling

A Bayesian version of the discovery process model was applied to the pre-rift Lower and Middle Jurassic play of the Halten Terrace, Mid-Norway. The Bayesian approach estimates the lognormal parameters, the discoverability parameter, and the distribution of sizes of the undiscovered fields as well as the play potential, conditioned on a discovery sequence averaging for all possible prior choices weighted by their likelihood. This approach avoids the problem of having to make arbitrary choices for the parameters. The estimates of parameters and play potential based upon the present methodology compares well with previous estimates, if the play is divided into two sub-plays representing the overpressured and normally pressured zones. These sub-plays have been estimated independently and aggregated in order to get the total undiscovered resource potential. This study estimates that the expected remaining play potential is 100 × 10⁶Sm³ o.e., about 9% of the total resources in the play. There is however a 90% chance that the remaining potential ranges from 13 to 282× 10⁶ Sm³ o.e. and a 5% possibility of exceeding this value.