Direct gravity formula for the Geodetic Reference System 1967

A Direct Gravity Formula, polynomial in latitude, has been obtained from the series expansion of the closed gravity formula of Somigliana by a telescoping procedure. The use of the 7 coefficient formula gives a result as accurate as the closed expression. With 6 coefficients it gives an order of magnitude better accuracy than that of the widely used Chebyshev approximation and with 5 coefficients a result that is accurate to better than that of the conventional form of computing theoretical gravity. The derived approximation is not only simpler than other forms, but also at least 11 and 17 times faster on the CDC CYBER 74 computer than the Chebyshev approximation and the closed gravity formula respectively. Contribution from the Earth Physics Branch N^o 720.     

Geological development of Jabal al Akhdar,Libya

The northern Cyrenaic headland situated north of 32 degrees latitude between Benghází and Tubruq was subject of a geological mapping. This paper draws attention to the results of this geological survey concerning Upper Cretaceous and Tertiary facies development, paleogeography, tectonic and geomorphologic evolution.The essential part of the investigated area corresponds to Jabal al Akhdar (Green Mountains), a gently uparched plateau built of Upper Cretaceous and Tertiary sediments (mostly limestones, subordinate dolomites and marls). These sediments were deposited at the southern margin of the Tethys sea and were moderately folded, mainly during the intra-Senonian (pre-Campanian) and early Ypresian intervals.From Middle Eocene till Middle Miocene, the area was subject to a slight warping followed by oscillating transgressions of a shallow sea.The youngest tectonic movements resulted in a gentle doming of the area associated with downfaulting of certain zones. Some prominent faults revealed rejuvenated activity, partly with movement inversion. Deep faulting probably controlled the paleogeographic and tectonic development of certain zones.The present gross geomorphology of Jabal al Akhdar roughly corresponds to its final uparching dated after the Middle Miocene. Topographic evolution of the northern slope of the mountains has been importantly influenced by marine erosion. Two broad littoral terraces bordered by cliffs were formed successively.

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Zusammenfassung Die nördliche Cyrenaica nördlich des 32. Breitengrades, zwischen Benghazi und Tobruk, wurde geologisch kartiert. Ergebnisse dieser Aufnahmen sind unten wiedergegeben und umfassen die fazielle Entwicklung der Oberkreide und des Tertiär sowie die paläogeographische, tektonische und geomorphologische Entwicklung.Der wesentliche Teil des untersuchten Gebietes liegt im Djebel el Akhdar. Er repräsentiert ein herausgehobenes Plateau, das sich aus Oberkreide und Tertiärsedimenten (meistens Kalke, untergeordnet Dolomite und Mergel) zusammensetzt. Diese Sedimente wurden am Südrand der Tethys abgelagert und sind vorwiegend während des Senon (Prä-Campan) und frühen Ypresien schwach verfaltet worden.Vom mittleren Eozän bis ins mittlere Miozän wurde das Gebiet teilweise gehoben und von oszillierenden Transgressionen einer Flachsee erfaßt.Die jüngsten tektonischen Bewegungen führten zu einer domartigen Aufwölbung und zu Bruchtektonik entlang bestimmter Zonen. Dabei wurden markante Störungen mehrfach regeneriert, wobei auch inverse Bewegungen nachgewiesen werden konnten. Tiefgreifende Lineamente kontrollierten wahrscheinlich die paläogeographische Situation wie auch die tektonische Entwicklung entlang bestimmter Zonen.Die augenblickliche geomorphologische Ausgestaltung des Djebel el Akhdar korrespondiert mit der zuletzt stattgefundenen Aufwölbung nach dem mittleren Miozän. Die topographische Entwicklung seines nördlichen Randes ist weitgehend beeinflußt durch marine Erosionen. Zwei breite Küstenterrassen — durch Steilküsten begrenzt — haben sich dabei sukzessive herausgebildet.

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Résumé La Cyrénaique septentrionale au Nord du 32ème parallèle, entre Benghazi et Tobrouk, a été l'objet d'un lever géologique. Les résultats donnés ici concernent le développement des facies au Crétacé supérieur et au Tertiaire, ainsi que l'évolution paléogéographique, tectonique et géomorphologique.La plus grande partie du territoire se trouve dans le Djebel el Akhdar, plateau soulevé composé de sédiments du Crétacé supérieur et du Tertiaire (la plupart des calcaires, plus rarement des dolomites et des marnes). Ces sédiments se sont déposés dans la bordure meridionale de la Téthys et furent faiblement plissés principalement au cours du Sénonien (Précampanien) et au début de l'Yprésien.De l'Eocène moyen au Miocène moyen, cette région fut en partie soulevée et soumise à des transgressions oscillatives de mer peu profonde.Les mouvements tectoniques les plus récents ont eu pour conséquence un faible bombement de la région accompagné d'affaissements de certaines zones le long de failles. Certaines failles importantes ont rejoué plusieurs fois, partiellement avec inversion de mouvement. Des failles profondes ont influencé l'évolution paléogéographique et tectonique de certaines zones.La géomorphologie générale actuelle du Djebel el Akhdar correspond grosso-modo a son bombement final d'après le Miocène moyen. L'évolution topographique du versant septentrional de la chaîne a été influencée d'une façon importante par des érosions marines. Il s'est formé successivement deux terraces littorales bordées de falaises.

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Magnetic and microstructural properties of some lodestones

An iron ore which behaves as a permanent magnet is lodestone. The intrinsic magnetic properties and the microstructual characteristics which are responsible for the permanent-magnet properties of the lodestone have never been described or explained. Iron ores capable of being charged sufficiently strongly to behave as permanent magnets are defined here as proto-lodestones and fall into two categories — Class I which contains Fe as the only significant cation, and Class II which contains considerable Ti, Mg and Al as well. Proto-Lodestones are magnetically hardened by oxidation and precipitation processes which produce the microstructure responsible for the permanent-magnet properties. Lodestones are charged proto-lodestone iron ores. Lodestones have R_H values (ratio of remanent coercive force, H_R, to coercive force, H_C) between 2.0 and 2.5; R_I values (ratio of saturation remanence, I_SR, to saturation magnetization, I_S) >0.1–0.25 and the ratio of NRM/SIRM (natural remanence to saturation remanence) is 0.15–0.7. The intrinsic magnetic properties and microstructural characteristics of proto-lodestones and other iron ores are described and explained. The mechanism of charging the proto-lodestone appears to be either transient magnetic fields associated with lightning-discharge currents or presently obscure aspects of magnetization intensity enhancement associated with maghemitization of massive iron ores.     

Eastern Altantic fracture zones as potential disposal sites for radioactive waste

Disposal of radioactive waste in the sea floor of fracture zones associated with the flanks of the Mid-Atlantic Ridge may be a satisfactory alternative to land disposal. Effective physiographic, sedimentary, chemical, and oceanographic barriers exist in these aseismic deep canyons, especially in the eastern Atlantic. In addition, the major producers of radioactive wastes are likely to be near the Atlantic Ocean. If such a disposal strategy is adopted, intensive study of the sedimentologic and oceanographic properties of oceanic fracture zones will be necessary.     

Pallasite meteorites—mineralogy,petrology and geochemistry

Pallasites are highly differentiated meteorites and provide a unique sample from the deep interiors of solar system parent bodies. They contain evidence of the former existence of one or more residual melts. Olivine is a major phase. Its primary shape is rounded; the angular crystals in many pallasites are secondary. Tubular inclusions are widespread. They perhaps are the residence of CO₂, released during laboratory heating experiments. Phosphoran olivine, a new variety of olivine containing 4–5 wt% P₂O₅, occurs in a few pallasites. Its Fe/Mg ratio is apparently independent of the host olivine composition.Pyroxene (not previously described from pallasites) occurs in symplectic intergrowths in seven meteorites. Compositionally, it lies in the gap between pyroxenes in chondrites and most irons. There are two groups: Fs_{11.6 ± 0.2} and Fs_{16.7 ± 0.2} The pyroxene contains exceptionally low Ca (< 0.1–0.2 wt%) and there is an indication of an inverse relation between Fe and Ca.Modal analyses and density measurements were made on all available specimens and bulk compositions were calculated. The ‘average’ pallasite contains 65 vol. % olivine and 50.5 wt % total Fe. Many of the densities of pallasites cluster around that calculated for close-packed olivine.Pallasites are exotic cumulates. Their textures resemble terrestrial cumulates, as does the presence of olivine and chromite. The metal texture resembles a solidified intercumulus liquid. Those pallasites containing olivine in excess of close-packing were subjected to adcumulus growth, thereby also explaining the widespread mutual borders.There is abundant evidence of deformation. For olivines this includes their fragmental shape and kink banding. Troilite formed a eutectic-like melt with kamacite: pieces of spalled olivine and schreibersite were injected into and captured by this melt. Troilite polycrystallinity resulted from the deformation. This deformation occurred while the pallasites were still deeply buried, resulting in incipient spheroidization of olivine fragments, including the formation of elongate, rounded crystals. A later, lower temperature deformation disrupted plessite.Pallasites formed in multiple parent bodies by processes that recurred in several places within the solar system, as shown by the mineralogical and textural similarities between pallasites that differ in their isotopic and trace element compositions. Type IIIB irons still seem the most likely associated meteorites.Two new pallasites, Dora and Rawlinna, are described briefly.     

Interaction of organic compounds with calcium carbonate—III. Amino acid composition of sorbed layers

Nitrogenous organic compounds in sorbed surface layers and in calcified organic matter associated with calcium carbonate sediment particles consist of 40–50% amino acids, 2% amino sugars and 25% ammonia. In grain size classes > 20 μm these compounds are mainly contained in the calcified protein of carbonate secreting organisms but with smaller grain sizes—and consequently increased specific surface area—they are contained in sorbed layers at the mineral surface. The composition of the sorbed layer is characterized by a predominance of neutral amino acids, a relative enrichment of basic and weakly polar amino acids, and a deficiency of acidic amino acids in comparison with the proteinaceous matter of calcifying organisms. The respective abundances for sorbed and calcified matter are: 505 and 380 Res./ of neutral amino acids, 262 and 450 Res./1000 of acidic amino acids, 92 and 51 Res./l000 of basic amino acids, and 141 and 129 Res./1000 of weakly polar amino acids.The composition of the sorbed layer appears to be the result of sorption of proteinaceous matter from solution since it reflects the free and peptide-bound amino acid composition of seawater. The characteristic amino acid assemblage could also be the result of preferential decomposition of protein and subsequent enrichment of neutral and basic amino acids; however, sorption from solution appears more likely since the total amount of amino acids sorbed to calcium carbonate (0.58 mg m ^?2) corresponds closely to the amount of protein known to cover one m² of aqueous substrate in monolayer arrangement. Sorption from solution is further supported by the low arginine/ornithine ratios in both the sorbed layer and the natural dissolved organic matter. This process might lead to a characteristic amino acid spectrum in fine grained calcareous sediments that reflects the composition of the dissolved organic matter in seawater rather than that of the carbonate secreting proteinaceous matter.     

Dependence of the Love numbers upon the inner structure of the Earth and comparison of theoretical models with results of measurements

Summary The question this paper is examining is the following: to what extent are the Love numbers dependent on certain characteristics of the inner structure of the Earth? It has been proven — on the basis of calculations carried out by the author-that these quantities are only in a small degree dependent on the density values measured on the surface of the Earth and on the selection of the density function in the mantle of the Earth. On the other hand the value of Love numbersh, k andl is considerably influenced by the assumptions made about the core of the Earth, namely by the position of the boundary between the core and the mantle and by the magnitude of the rigidity coefficient presumed in the core in the vicinity of the core-mantle boundary.The results of the calculations are compared with those mean values of Love numbers obtained from the data of stations operating at different places of the Earth. By reason of this it can be assumed that the core of the Earth has, in the vicinity of the core-mantle boundary, a coefficient of effective rigidity of the order of 10¹⁰ dyn/cm², if the core-mantle boundary is placed at the relative Earth radius of 0.545 from the centre of the Earth.