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多维体视方法论及其在地球科学研究中的意义

本文阐述”多维体视方法论”,主张立体透视与动态、多维地看问题;它起源于医学CT(计算机层析学)透视成像、核磁共振(MRI)等体视学方法研究疾病的生理解剖结构、病理特征、监测人体有关器官的各种变化,是行之有效的方法;已成功地应用于检测工业器械、航天器及地下结构等物体的内部结构,从而发展和演绎出来的认识论方法。在医学领域将CT、MRI所得二维信息和断面图像、对病灶区引入“体显示”和“面显示”等可视化技术,将能充分反映不同疾病的病理、药理特征;在航天、地学等领域同样应用着CT多维“可视化技术”。本文试图发扬综合预测的学术思想,将医学临床应用CT、核磁共振、体视学方法结合研究其他制约因素指标,从而区分出疾病的原发、继发分期,导致绝症的进程和前兆,概括为“多维体视预测方法”;也适用于地震孕育、强震发生与火山喷发预测的研究。     

Multidimensional-unified topological relations computation: a hierarchical geometric algebra-based approach

This article presents a geometric algebra-based model for topological relation computation. This computational model is composed of three major components: the Grassmann structure preserving hierarchical multivector-tree representation (MVTree), multidimensional unified operators for intersection relation computation, and the judgement rules for assembling the intersections into topological relations. With this model, the intersection relations between the different dimensional objects (nodes at different levels) are computed using the Tree Meet operator. The meet operation between two arbitrary objects is accomplished by transforming the computation into the meet product between each pair of MVTree nodes, which produces a series of intersection relations in the form of MVTree. This intersection tree is then processed through a set of judgement rules to determine the topological relations between two objects in the hierarchy. Case studies of topological relations between two triangles in 3D space are employed to illustrate the model. The results show that with the new model, the topological relations can be computed in a simple way without referring to dimension. This dimensionless way of computing topological relations from geographic data is significant given the increased dimensionality of geographic information in the digital era.     

Beiträge zu einer elektrischen Tornadotheorie

Zusammenfassung Ein VorschlagB. Vonneguts, elektrische Tornadotheorien wieder in Betracht zu ziehen, wird aufgegriffen und es wird gezeigt, daß die Gewittertheorie mit der elektromagnetischen Induktion als Grundlage auch auf das Tornadoproblem anwendbar ist. Dadurch finden nicht nur mehrere Eigenschaften des Tornados eine zwanglose Erklärung, vielmehr wird darüber hinaus auch die Wahrscheinlichkeit der Brauchbarkeit der Gewittertheorie bedeutend erhöht. Das beste Argument für die Wirksamkeit der elektromagnetischen Induktion dürfte in der Beobachtung einer rhombusförmigen, mehrere Tornados erzeugenden Gewitterwolke zu sehen sein, die durch das Raumgitter einer Dipolwolke befriedigend erklärt werden kann.Summary Following a suggestion byB. Vonnegut to reconsider electrical torando theories, the author shows that the thunderstorm theory based on electromagnetic induction is also applicable to the tornado problem. Several characteristics of the tornado are easily explained, adding evidence of the validity of the thunderstorm theory. The strongest argument in favour of the effectiveness of electromagnetic induction may be considered the observation of a rhomb-shaped thunderstorm cloud which generated several tornadoes. Such a cloud can be explained by the spacial distribution of its dipole elements.

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Résumé L'auteur se réfère à la proposition deB. Vonnegut de reconsidérer la théorie électrique des tornades. Il démontre que la théorie des orages, basée sur l'induction électro-magnétique, est également applicable au problème des tornades. Non seulement on explique aisément par ce moyen plusieurs propriétés des tornades, mais encore la probabilité de la valeur d'application de la théorie des orages en est sensiblement renforcée. Le meilleur argument en faveur de l'activité de l'induction électro-magnétique est certes l'observation d'un nuage d'orage en losange qui engendra plusieurs tornades. Cette formation peut s'expliquer de façon satisfaisante par la grille spaciale d'un nuage en dipole.

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Mit 6 Textabbildungen

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Dem Gedenken an Priv.-Doz. Dr.Fritz Rossmann gewidmet.     

Early Holocene water budget of the Nakuru-Elmenteita basin, Central Kenya Rift

The Nakuru-Elmenteita basin in the Central Kenya Rift, contains two shallow, alkaline lakes, Lake Nakuru (1770 m above sea level) and Lake Elmenteita (1786 m). Ancient shorelines and lake sediments at 1940 m suggest that these two lakes formed a single large and deep lake as a result of a wetter climate during the early Holocene. Here, we used a hydrological model to compare the precipitation–evaporation balance during the early Holocene to today. Assuming that the Nakuru-Elmenteita basin was hydrologically closed, as it is today, the most likely climate scenario includes a 45% increase in mean-annual precipitation, a 0.5°C decrease in air temperature, and an increase of 9% in cloud coverage from the modern values. Compared to the modeling results from other East African lake basins, this dramatic increase in precipitation seems to be unrealistic. Therefore, we propose a significant flow of water from the early Holocene Lake Naivasha in the south towards the Nakuru-Elmenteita basin to compensate the extremely negative hydrological budget of this basin. Since we did not find any field evidence for a surface connection, as often proposed during the last 70 years, the hydrological deficit of the Nakuru-Elmenteita basin could have also been compensated by a subsurface water exchange.     

The Influence of Testing Procedures on Uniaxial Compressive Strength Prediction of Carbonate Rocks from Equotip Hardness Tester (EHT) and Proposal of a New Testing Methodology: Hybrid Dynamic Hardness (HDH)

The Equotip hardness tester (EHT) is a portable and non-destructive instrument used mainly for the dynamic rebound hardness testing of metals. Although various versions of the ‘single impacts’ and ‘repeated impacts’ testing procedures have been employed by different authors for different applications, it is not yet known whether a particular testing procedure is more relevant for a specific application in rock engineering. To be able to contribute to the subject, the present study was carried out to determine the suitability of different rebound testing procedures with this instrument for uniaxial compressive strength (UCS) estimations of some selected carbonate rocks. To achieve this goal, as well as four different existing rebound testing procedures, a newly proposed testing methodology involving the parameter hybrid dynamic hardness (HDH) was also employed. The statistical analyses performed on the experimental data, on the whole, showed that the test procedures which are based on single impacts test procedures outperformed the repeated impacts test procedures in terms of UCS prediction accuracy. The prediction capability of the newly introduced testing methodology was found to be superior to those of other procedures considered in this work, suggesting that it could be an efficient tool in practice for preliminary estimates of rock strength. The statistical analyses also indicated that, in practical applications of the EHT using different test procedures, it may be possible to predict the UCS more accurately when apparent density data is available. For the range of specimen sizes considered, no clear evidence of size effect was observed in the mean rebound values. The argument raised by some other authors that the EHT might not be a convenient instrument for the dynamic rebound hardness determination of relatively high-porosity rocks was not confirmed in this study.