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By I. Hague

Support liners for underground applications include steel and timber sets, meshing and lacing, screen/mesh, shotcrete and thin support liners (superskins). Over the past few years, major advances have been made in the design and application of liners; especially shotcrete and thin support liners. For shotcrete in mines these advances include the common use of slick-lines to solve logistics problems, the design of alkali free accelerators, the use of synthetic fibres and the new generation application equipment. The field of thin support liners is a new one but advances have been dramatic. This paper discusses the progress made and the need for standardization in definitions and testing for thin support liners. It concludes that the newer technologies have a huge potential positive impact on the industries, from both safety and cost points of view. Le chemisage de soutènement pour extraction souterraine comprend des cadres d’acier ou de boisage, mailles et chapeau, cribles/mailles, béton projeté et des chemisages minces de soutènement (super-peaux). Dans les dernières années, des progrès considérables ont été fait dans la conception et application des chemisages, en particulier les chemisages de soutènement en béton projeté et les chemisages minces. Pour le béton projeté dans les mines, ces progrès comprennent l’utilisation courante de lignes de minerais broyés fin pour résoudre des problèmes de logistique, la création d’accélérateurs sans alcali, l’usage de fibres synthétiques et d’une nouvelle génération d’outillage. Le domaine des chemisages minces de soutènement est très récent mais les progrès ont été rapides. Cette étude présente les progrès accomplis et discute du besoin de standardisation dans les définitions et les tests pour chemisages minces de soutènement. La conclusion est que les technologies nouvelles présentent un énorme impact potentiel positif sur les industries, du point de vue à la fois de la sécurité et de la rentabilité. Unterstützungsverkleidungen für Untertaganwendungen inkludieren Flecht und Seilwerk, Gitter/Geflecht, Spritzbeton und dünne Unterstützungsverkleidungen (superskins). Während der letzten Jahre wurden grosse Fortschritte im Design und in der Anwendung der Verkleidungen gemacht; besonders bei Spritzbeton und dünnen Unterstützungsverkleidungen. In Bezug auf Spritzbeton in den Gruben schließen diese Fortschritte den allgemeinen Gebrauch von Rutschbahnen ein um Logistikprobleme zu lösen, das Design von alkalifreien Akzeleratoren, den Gebrauch von synthetischen Fasern und die neue Generation von Anwendungsausrüstung. Der Bereich der dünnen Unterstützungsverkleidungen ist neu, aber die Fortschritte sind drastisch gewesen. Diese Arbeit behandelt den erzielten Fortschritt, die Notwendigkeit der Normierung in den Definitionen und in der Prüfung dünner Unterstützungsverkleidungen. Sie kommt zum Schluß, daß die neueren Technologien, sowohl vom Gesichtspunkt der Sicherheit als auch der Kosten, eine sehr große potentielle positive Auswirkung auf die Industrien haben.

Jan 1, 2003

By L. Wade

The advent of relatively cheap computing power has precipitated a rapid growth of computer usage in the mining industry. In order to obtain most benefit from this development a need is recognised for the future mining graduate to be trained in computer literacy. This paper outlines the type of training required and describes progress to date with such a programme at the University of the Witwatersrand. Certain challenges concerning the teaching effort are discussed.

Jan 1, 1987

By R. C. A. Minnitt, A. Akpabio

This study presents a rigorous comparison between ordinary kriging and commonly used machine learning algorithms, those being, linear regression, support vector regression, decision trees, random forests (RF), and k-nearest neighbours for spatial interpolation of platinum grade estimates in a complex ore body within the Bushveld Igneous Complex. Using only X and Y coordinates as predictors, both ordinary kriging and machine learning models were evaluated at point and block supports under traditional and spatial block cross validation frameworks. While naive validation results suggested superior performance for k-nearest neighbour and random forest (R² = 0.92 and 0.86, respectively), these were revealed to be overly optimistic under spatial dependence. Spatial block cross validation results demonstrated substantial declines in model performance, with R² often falling below zero, particularly for decision trees and k-nearest neighbour, indicating strong overfitting and limited generalisability. Ordinary kriging exhibited more stable, albeit modest, performance under spatial validation, reflecting its strength in geostatistical interpolation when contextual geological variables are unavailable. The study underscores the critical importance of spatially aware validation in resource estimation and highlights that machine learning models constrained to spatial coordinates behave as interpolators rather than true learners of geological variability. Recommendations are provided for future work incorporating geological information to enhance predictive robustness.

Mar 30, 2026

By K. Sugawara, Y. Hirakawa, A. Sato

The rock mass properties such as deformability and permeability are highly dependent on the existence of cracks. The Ratio of Crack Opening Dependency (RCOD) was proposed as a new index to evaluate the deformability of infinite jointed rock mass. The RCOD is defined as the ratio of total amount of crack opening and the total deformation of jointed rock mass. The theoretical relation between the RCOD and the effective compliance of jointed rock mass is discussed and confirmed through two-dimensional numerical analysis by the SC-DDM, together with the applicability to the rock engineering. Les propriétés de masse rocheuse telles que la déformabilité et la perméabilité sont très dépendantes de l'existence de fissures. Le rapport de dépendance d'ouverture des fissures a été proposé comme un nouvel index d'évaluation de la déformabilité de masse rocheuse à assemblage infini. Le rapport de dépendance d'ouverture des fissures est défini comme étant le pourcentage de quantité totale d'ouverture des fissures et de déformation totale de la masse rocheuse assemblée. Le rapport théorique entre le rapport de dépendance d'ouverture des fissures et la compliance efficace de masse rocheuse assemblée sont traités et confirmés au travers d'une analyse numérique à deux dimensions par SC-DDM en même temps que l'applicabilité à l'ingénierie des roches. Die Felsmasseneigenschaften wie Verformbarkeit und Durchlässigkeit sind hochgradig abhängig von dem Vorhandensein von Rissen. Das Verhältnis der Riss-Öffnungsabhängigkeit (RCOD) wurde als neuer Index der Verformbargkeit von infinit zerklüfteter Felsmasse vorgeschlagen. Der RCOD wird als Verhältnis der Gesamtmenge der Rissöffnungen und der Gesamtverformung der zerklüfteten Felsmasse definiert. Die theoretische Beziehung zwischen RCOD und der effektiven Verformbarkeit von zerklüfteter Felsmasse wird diskutiert und durch zweidimensionale numerische Analyse mit SC-DDM bestätigt, zusammen mit der Anwendbarkeit auf Bergbautechnik.

Jan 1, 2003

By Siyabonga Malevu

Chemical Initiatives? Umbogintwini plant is the production facility of Chemical Initiatives? business. Umbogintwini?s J Plant manufactures sulphuric acid. The plant was designed and built by Simon Carves, and was commissioned in 1974. The plant was designed to produce 500 tons/day of Sulphuric acid (H2SO4) at maximum rates. The Sulphuric acid manufacturing is through the famous contact process whereby liquid Sulphur is injected through dried air in a burner operating at 1000 °C to form sulphur dioxide (10.5% SO2). The SO2 gas is then cooled in waste heat boiler no. 1 before being fed to a four pass converter which provides 99.5% SO2 conversion to sulphur trioxide (SO3). The SO3 gas is the absorbed by 98.5% H2SO4 through the inter-pass & final tower to make more concentrated acid and dilute it with water back to 98.5% H2SO4 in acid pump tanks and dispatched to storage tanks. The manufactured Sulphuric acid is supplied to a variety of industrial manufacturing customers includes Pulp & Paper industry, Mining industry, Chemical manufacturing industry etc.

Jan 1, 2009

[Council for 1993/94 President Dr H. Scott-Russell President Elect J.A. Cruise Vice Presidents Senior D.A.J. Ross-Watt Junior P.D.K. Robinson Immediate Past President J.P. Hoffman Honorary Treasurer J.A. Cruise]

Jan 1, 1994

By M. J. Kanda, T. R. Stacey

Thin spray-on liners (TSLs) have been used as sealants and rock support in tunnels for over 25 years. Laboratory tests have indicated satisfactory properties that can provide adequate strength, adhesion, toughness, and elasticity as part of rock support systems in mining excavations. These characteristics are, however, not always demonstrated in practice, when mine environmental conditions do not correspond with laboratory environmental conditions. The shortcomings of TSLs experienced in the mining industry have raised concerns, resulting in scepticism from some operators regarding their utilization. The research described in this paper aims to investigate TSL performance in environmental conditions similar to those experienced in mines. Brazilian indirect tensile (BIT) specimens were prepared from precast shotcrete and coated with TSLs. The specimens were then exposed to different environmental conditions for up to 112 days before BIT testing under various conditions: laboratory room temperature and humidity; saturated room temperature; and combined saturated and high temperature (50°C). Additional uncoated shotcrete and TSL BIT specimens were prepared for comparison purposes. The results of the BIT tests showed that environmental conditions have a significant influence on the tensile strength enhancement of shotcrete by TSLs. Water-based TSLs are most likely to be suitable for high humidity environments, although their performance decreases at higher temperatures. Numerical modelling of TSL-coated BIT samples confirms the potential limitations of designing TSL support based only on laboratory testing carried out under room conditions.

Jul 1, 2021

The annual general meeting of the Branch was held at the St. Helena Club on Thursday, August 21, 1969. Mr J. G. Kirchner (Chairman) was in the Chair. Also present were Mr R. C. J. Goode, President of the S.A. Institute of Mining and Metallurgy; Nine Members: Messrs N. A. Honnet, W. R. Lawrie, J. N. Saunders, D. D. Waterman (Committee Members), M. G. Cullen, G. C. P. Labuschagne, H. A. G. Slater, I. G. Thomas, T. Zadkin and Nine Associate Members: Messrs R. Campbell, D. E. Couperthwaite, T. M. Espach, J. M. Ferguson, G. W. Futcher, A. G. C. Merson, E. R. Penny, R. B. Sutherland, J. W. van den Munckhof and One Visitor: Mr D. J. McLaren. The Chairman declared the meeting open and, on behalf of the Branch, thanked the President for coming from Johannesburg to attend. MINUTES OF THE PREVIOUSGENERALMEETING As the Minutes of the General Meeting held on June 18, 1969 had not yet been published in the Journal, the Chairman moved that their adoption and the discussion thereof be deferred to the next General Meeting. This motion was adopted unanimously. CHAIRMAN'S ANNUAL REPORT 1968/69 At Mr Kirchner's request, Mr. R. C. J. Goode took the Chair during the presentation of the Chairman's Annual Report. (This report was published in the August 1969 issue of the Journal.) OFFICE BEARERS AND COMMITTEE MEMBERS FOR THE YEAR 1969/70 The Chairman announced that the outgoing Committee had elected the following office bearers for the coming year: Chairman: N. A. Honnet; Vice-Chairman: J. N. Saunders; Immediate Past Chairman: J. G. Kirchner. The Chairman then read a letter from the scrutineers reporting that the following had been elected to the Committee: M. S. Grobler, W. R. Lawrie, L. O. W. Leimer, A. T. Lewis, R. S. Pearson, T. Zadkin. The Chairman thanked the scrutineers for their services, and congratulated Messrs Lawrie, Leimer and Zadkin on their re-election and Messrs Grobler, Lewis and Pearson on their election to the Committee. The Chairman announced that he had heard, with regret, that Mr. T. Zadkin would be leaving the O.F.S. at the end of August, 1969. Mr Zadkin had served on the Committee continuously since the inception of the O.F.S. Branch and records showed that he had only failed to attend three General Meetings in over nine years. The Chairman expressed the gratitude of the Branch for Mr Zadkin's invaluable services to the Institute, congratulated him on his well earned promotion and wished him well in his new position. INDUCTION OF CHAIRMAN The Chairman introduced Mr N. A. Honnet to the meeting by briefly outlining his past career and, after congratulating him on his election, called upon him to take the Chair. In congratulating the out-going Chairman on a very successful term of office, Mr Honnet said that due to the absence of many Committee Members for a large portion of the year Mr Kirchner had carried a heavy burden, and he moved a vote of thanks and appreciation for Mr Kirchner's efforts. This was carried unanimously. GENERAL BUSINESS There were no points raised under this heading. MINING AND METALLURGICAL CONGRESS The Chairman called on Mr W. R. Lawrie to give his talk on aspects of the Mining and Metallurgical Congress recently held in Britain. This presentation was illustrated with photographic slides and proved of great interest to Members. Mr D. D. Waterman proposed a vote of thanks to Mr Lawrie and the Chairman then asked Mr R. C. J. Goode to contribute to Mr Lawrie's address. Mr Goode thanked Mr Kirchner for his efforts during his very successful term of office and congratulated the in-coming Chairman and Vice-Chairman on their election. He then gave a brief talk on aspects of the Congress not dealt with in Mr Lawrie's address. These included the industry's requirements of graduates, the necessity of their rapid advancement and the desirability of sending such young men to attend future Congresses. Mr Goode announced that two symposiums will be sponsored by the Institute next year, one on Tunnelling and the other on Open Cast Workings.

This paper describes the integration of the mineral resource management philosophy within strategic long term planning at Anglo Platinum Limited. Consideration is given to the philosophy, processes, techniques and supporting systems.

Jan 1, 2007

By Y. Mitani, M. Xie, G. Zhou, T. Esaki

The assessment of landslide instability and risk has become a topic of major interest for both geoscientists and engineering professionals as well as for local communities and administrations in many parts of the world. In this paper, based on a new developed Geographic Information Systems (GIS) grid-based 3D deterministic model and taken the slope unit as the study object, the landslide hazard is mapped by the index of the 3D safety factor. Assuming the initial slip as the lower part of an ellipsoid, the 3D critical slip surface in the 3D slope stability analysis is obtained by means of a minimization of the 3D safety factor using the Monte Carlo random simulation. The failure probability of the landslide is calculated by an approximate method in which the distributions of f,c and the 3D safety factor are assumed to be in normal distributions. The assessment of the earthquake triggered landslide hazard is done by the dynamic displacement analysis using the index of the Newmark displacement. All the calculations are implemented by a computational system call 3DSLOPEGIS in that a GIS component is used for fulfilling the GIS spatial analysis function. Besides the results of 3D safety factor and probability, the possible landslide body and boundary can be three-dimensionally quantitatively identified. L’ estimation des glissement de terrain et des risques impliqués est devenu un des principal sujet de préoccupation pour les géotechniciens, mais aussi pour les ingénieurs specialisés ainsi que pour les communautés et administrations locales dans de nombreuses région du monde. Dans cette étude, basé sur un modèle de maillage 3D et une approche déterniniste couplée au Système d'Information Géographique (SIG), étudiant la stabilité des versants , le lieu d'étude à risque est maillé suivant le facteur de sécurité calculé en 3D. En supposant que le glissement initial soit la partie inférieure d'un élipsoïde, l'analyse de stabilité pour le glissement critique 3D d'un versant 3D est obtenu grace à une minimisation du facteur de sécurité en 3D utilisant la méthode de simulation aléatoire de Monte Carlo. La probabilité d'un glissement de terrain est calculée par une méthode approximative, supposant la distribution de c, f et du facteur de sécurité 3D normale. L'estimation d'un risque de glissement de terrain causé par un tremblement de terre est faite grace à une analyse du déplacement dynamique suivant l'index de Newmark. Tous les calculs sont effectués par le biais d'un système de calcul appellé 3DSLOPEGIS dans lequel te GIS est utilisé pour gérer l'analyse spatiale. En plus de cela, les résultats du coefficient de sécurité en 3D, des probabilités, le terrain susceptible de glisser, et ses limites, peuvent être quantitativement évalués en trois dimensions. Die Bewertung von Erdrutsch-Instabilität und risiko sind zu einem Thema von großen Interesse für sowohl Geowissenschaftlern und Ingenieuren als auch von Gemeinden und Verwaltungen in vielen Teilen der Welt geworden. In dieser Arbeit, basierend auf einem neu entwickelten Geografische Informationssysteme (GIS) gitterbasierten 3D deterministischen Modell und mit der Böschung als Untersuchungsobjekt wird die Erdrutschgefahr durch den Index des 3D-Sicherheitsfaktors kartografiert. Unter der Annahme, dass der erste Rutsch der untere Teil eines Ellipsoiden ist, wird die 3D kritische Schlupfoberfläche in der 3D-Böschungsstabilitätsanalyse mit einer Minimierung des 3D-Sicherheitsfaktors mit der Monte Carlo Zufallssimulation erhalten. Die Fehlerwahrscheinlichkeit des Erdrutschs wird mit einer Annäherungsmethode berechnet, bei der die Verteilungen von f,c und dem 3D-Sicherheitsfaktor als innerhalb normaler Verteilungen angenommen werden. Die Beurteilung der Erdbeben-ausgelösten Erdrutschgefahr wird mit der dynamischen Verdrängungsanalyse mit dem Index der Newmark-Verdrängung gearbeitet. Alle Berechnungen werden mit einem Berechnungssystem mit der Bezeichnung 3DSLOPEGIS ausgeführt, bei dem eine GIS-Komponente zum Erfüllen der GIS räumlichen Analysefunktion verwendet wird. Neben der Ergebnissen des 3D-Sicherheitsfaktors und der Wahrscheinlichkeit kann der mögliche Erdrutschkörper und der Umfang dreidimensional quantitativ identifiziert werden.

Jan 1, 2003

By K. C. Sole, M. Makonese

Bushveld Belco is commissioning a plant for production of electrolyte used in vanadium redox flow batteries. Owing to the source material, the electrolyte is contaminated with Fe, at concentrations up to 140 mg/L, which negatively affects battery performance. This study examined the use of ion exchange to reduce the Fe concentration to the target value of < 100 mg/L from a feed solution containing 100 g/L V in 4 M H2SO4. Four resins with possible application were identified: Puromet MTS9570, Puromet MTX7010, Puromet MTS9500, and Puromet MTC1600H. Puromet MTS9570 outperformed the other three resins in all batch experiments with respect to loading capacity and selectivity over V, and was evaluated for Fe removal in fixed-bed column loading tests. Based on these data, preliminary sizing and design of a full-scale column was undertaken. Owing to the difficulty of eluting this resin, a philosophy of discarding the resin on loading to full capacity was considered. These data revealed that, despite the high selectivity of this resin for Fe over V, it would be too expensive and impractical to use this resin for full-scale operation under such conditions. It is recommended to remove iron earlier in the flowsheet prior to generation of the 4 M H2SO4 electrolyte.

Dec 11, 2024

The paper discusses the improvements achieved after an external sparger flotation column was installed as a final cleaner at the Northam Platinum Ltd. UG 2 concentrator in South Africa. It further discusses the improvements achieved after the conversion of a conventional flotation column, utilized as cleaner in the Merensky concentrator, to an external sparger flotation column. Finally, the application of the above knowledge in the design and commissioning of an external sparger flotation column as final cleaner in the furnace slag concentrator, is also discussed. 1. FINAL CLEANER AT THE UG 2 CONCENTRATOR The MF2 designed UG 2 concentrator is processing 75 000 tonnes run of mine ore at a head grade of 4.0 g/t 3PGM+Au and a feed Cr2O3 concentration of 28 %. Since commissioning of the plant in 2001, Cr2O3 in final concentrate amounted to approximately 5 % of the total mass. Although final concentrate produced from the UG 2 concentrator is blended with final concentrate obtained from the Merensky concentrator before smelting, blended Cr2O3 values in excess of 1.6% lead to difficulties in the subsequent smelting process. Several options for reducing the amount of Cr2O3 in final concentrate have been evaluated namely:- ? Differing types of depressants at various dosing rates. This test work did not reduce the amount of Cr2O3 reporting to final concentrate by any significant extent. ? Reduction in mass pull to minimize the entrainment of Cr2O3 in the concentrate stream.. This process change had a detrimental effect on PGM recovery. Conclusions were drawn that conventional mechanically agitated flotation cells could not achieve the required selectivity without sacrificing PGM recovery. As a consequence an alternative mechanism needed to be incorporated for the final cleaning of PGM concentrate.

Jan 1, 2007

By J. -P. Gisiger

On the basis of laboratory test results a comparison of various parameters (unconfined compressive strength, CERCHAR and LCPC abrasivity indexes, mineralogy) is presented and discussed in order to outline certain correlations between them. Samples cover a wide range of lithological types coming from various sites of tunnels. A partir de résultats d’essais de laboratoire, une comparaison de divers paramètres (résistance à la compression simple, indices d’abrasivité CERCHAR et LCPC, minéralogie) est présentée et discutée dans le but d’en tirer certaines corrélations. Les échantillons couvrent un large éventail de types lithologiques provenant de plusieurs sites de tunnels. Basierend auf Laborversuchen, werden verschiedene Gesteinseigenschaften (Druckfestigkeit, CERCHAR und LCPC Abrasionsindexe) präsentiert und Korrelationen aufgezeigt. Die untersuchten Proben verschiedenster Lithologien stammen aus mehreren Tunnelprojekten.

Jan 1, 2003

By A. F. Collings

The processing of heavy mineral concentrates can be enhanced by the use of power ultrasound to clean their surfaces of oxidation products and fine coatings, mainly through the large, but very localized forces, produced by cavitation. Results are presented of the application of power ultrasound to remove coatings from the surfaces of mineral sand concentrates in order to improve the sharpness of their high-tension separation and, in some cases, the quality of the low iron components such as zircon. Improvements of 10–15% in recovery and up to 20% in grade compared to unsonicated material were achieved in a single stage laboratory high-tension separation. Cavitation also ensures that a fresh, clean surface is presented to leachants during the leaching of suspended solids. At the same time, the effect of cavitation and the shearing effect of the sound wave passing over the solids ensure that the saturated boundary layer is kept to a minimum if not completely removed. This application of power ultrasound helps to speed up leaching processes as applied to the removal of excess alumino-silicate contaminants in some ilmenite. Keywords: Ultrasound, power ultrasound, heavy minerals, processing.

Jan 1, 2003

By T. B. Beeton

In view of the limited reserves of good-quality coking coals in South Africa, Iscor has been involved in direct reduction since the middle sixties. Since the early seventies, its interest in direct reduction was stimulated further by a swing towards&apos; continuous casting, which, in turn, contributed to a shortage of the scrap supply for electric-arc-furnace (EAP) steelmaking. Rock engineering The First International Conference-Rock Enginet:ring and Excavation in an Urban Environmentorganized by The Institution of Mining and Metallurgy and the Hong Kong Section of the Institution, in association with the Hong Kong Institution of Engineers, will be held in Hong Kong from 23rd to 28th February, 1986. SPOTLIGHT on Gold Fields National Engineering Awards For the Gold Fields Foundation National Engineering Awards, each university affiliated to the South African Federation of University Engineering Students (S.A.F.U.E.S.) selected a candidate who, in their opinion, presented the most outstanding design project in their final year during 1984.

Jan 1, 1985

By O. Dahl, B. Musuku, N. Schreithofer

Recovery of fine pentlandite is proving to be a challenging task in the Kevitsa sequential flotation operations, with over 60% of the nickel losses reporting into the -25μm size fraction. Since commissioning, the Kevitsa process has undergone major changes to address throughput and flotation performance. Major changes were implemented in the configuration of the milling and flotation circuits as well as in the operating conditions and reagent regime. Some of these changes improved nickel flotation while others deteriorated flotation performance. Most of the changes have had a direct impact on nickel flotation. This paper reviews the systematic analysis, laboratory testing and salient changes done to the process with special focus on the impact on the fine pentlandite flotation. Keywords: Blending, Flotation, Chalcopyrite, Pentlandite, Fines

Jan 1, 2020

By R. B. Khumalo, M. S. Nyarela, R. C. Nemathithi

Palabora Mining Company is one of the largest low-grade copper mines globally. The mine uses block caving for the extraction of the orebody. This paper enumerates the drawpoint loading strategies for the overall head grade improvements, particularly for a block that is nearing depletion. A comprehensive literature review of various considerations relating to improving productivity in block caving is presented to contextualize the draw control in caving. From this study, an optimized draw control strategy is presented, which focuses on three parameters that include grade distribution, loading compliance, and tonnage splits per sector. An empirical method based on the relational study between various parameters is used to outline the key criteria to be used in the optimization of drawpoint loading in block caving.

Nov 30, 2022

By A. R. Leach

Anomalous mining conditions can be described where the level of hazard is increased relative to normal conditions within a mining area. Normal conditions would be those defined as a Ground Control District in a mine’s code of practice, and for which mine standard support layouts are generally developed. It has been found that up to 80% of fall of ground accidents occur where anomalous mining conditions exists, typically in the vicinity of geological weaknesses. These areas require specific attention to ensure they are readily anticipated and identified and that appropriate strategies are used to reduce the hazards associated with them. As part of SIMRAC project GAP 607 checklists to aid identification and best practice mining methods were identified for a range of geotechnically anomalous conditions.

Jan 1, 2003

By P. He

Abstract This paper introduces tested results of rock-socketed pile in Nanjing, Wuhan and Chongqing. From a force- transfer model, a distribution of axial force for pile-body and inlaid resistance for rock-socketed pile was deduced. Comparing the results of test and calculation, it shows that the calculation result coincide with the test result. Keywords rock-socketed pile, load transfer, inlaid resistance, end resistance. Zusammenfassung: dieser text legt eine kuyze Einfuehyung ueber die Erfolge wissenschaftlicher Forschungsarbeit in bezug auf die Grundprinzipien der Mechanik von Belastungsuebermittlung der Einlegesteinpfeilers der Durch Benutzung von Ausgleich/Balance der inneren Kraft und Deformationskoordinierung wird das mechanische Modell der Belastungsuebermittlung des Einlegesteinpfeilers aufgestellt. Vom lebendigen Beispiel wird dia Wellenkraft des Steinpfeilera und die Verteilungskurve Einlegebfestigungskraft ausgelegt, man hat diess bereits mit der tatsaechlichen genessenen Kurve verglichen. Schluesselwoerter: Einlegesteinpfeilers, Belastungsuebermittlung, Einlegebfestigungskraft, Seitenwiderstand. Résumé - Le présent article décrit de façon succincte des résultats de la recherche sur le mécanisme du transfert de chargement du pieu d’ancrage au massif. Une modèle dynamique du transfert de chargement du pieu d’ancrage au massif est ainsi établie avec l’application des conditions de l’équilibre de contraintes internes et de coordination de la déformation. L’expérimentation sur des exemples réels a permis de mettre à jour des courbes de distribution de la force axiale du corps du pieu et de la force d’ancrage avec comparaison aux courbes effectivement mesurées in situ. Mots clés - Pieu d’ancrage au massif, Transfert de chargement, Force d’ancrage, Résistance à la pointe

Jan 1, 2003

[Consider a square block W in an ore body S2, to be valued from one centre sample w, and one corner sample w2 (Fig. 9.1). The sample set is ws = Iw,;w21. We can estimate the block average µw by the average of the sample values x, and x2: µw = &apos;z (x, + xz). (9.1) The error made is measured by the estimation variance: o&apos; (ws to W) = 2 - (ws; W) - - (ws;ws) - - (W; W). (9.2) However, we know that the centre sample w, gives more information about the block value than the corner sample w2. In the example studied in § 8.4, where w, and w2 were considered to be points, we found that of (w, to W) was nearly one third smaller than o2E (w2 to W), therefore when estimating W one should give more weight to w, than to w2. In general, when evaluating a block W from a set of n samples ws, where WS = l w;w2; ... wn1, a better estimator of µw can be obtained if we give different weights to the sample values, depending on the size and the positions of the samples. Some desirable properties of such an estimator µw are: ? It should be a linear function of the sample values xi: n µw = bi xi (9.3) =t where bi = weight given to sample x . ? It should be unbiased, i.e. its expected value should be equal to the true block value: E [µw - µw] = 0. (9.4) ? The mean squared error of estimation of µw should be a minimum E [(µw - µw)2] = a minimum. (9.5) The estimator which satisfies these properties is a minimum variance, linear and unbiased estimator, and is known as the kriging estimator. The corresponding error of estimation is the kriging error. This estimator is also known as the BLUE (for Best Linear Unbiased Estimator) estimator. This was named by Matheron in acknowledgement of the early work of Krige&apos;s in the optimization of the evaluation of the South African gold mines. The following notations will be used: µK kriging estimator. o2k = o2K (w,, to W) kriging error.]

Jan 1, 1978