Sedimentation pelagique et encroûtements cryptalgaires: les calcaires gremeleux du Carixien portugais

In Portugal, Carixian is generally represented by alternative layers of marly limestones characterized by nodule and lumpy levels. These layers are particularly developped [show preferential development] on passage areas to a sedimentary basin, particularly along the slope of tilted blocks between the Meseta and Berlenga's horst. This facies is included in the range of the «nodular limestone» and of the «ammonitico-rosso». Limestones are radiolaria micrites with fragments of pelagic organisms (ammonoids, thin shelled gastropods). These layers can be affected by intensive bioturbation (Brenha) which is responsible for dismantlement, specially where the initial thickness does not exceed a few centimetres. This process can lead to the isolation of residual nodules (Brenha, São Pedro de Muel, Peniche) which can be mobilised by massive sliding (Peniche). The isolated elements, shell fragments or residual nodules, can also be incrustated, thus developing oncolitic cryptalgal structures. At Brenha the lump structure developed progressively into a sequence overlapping the normal sedimentary one (thick limestone beds alternating with bituminous shales). Cryptalgal structures correspond to rather unstable environment conditions on mobile margins. These structures are known in deep pelagic sediments corresponding to well defined events of the geodynamic evolution (end of the initial rifting). Cryptalgal accretions disappear towards the sedimentary basin, and the nodular levels are less important. In the articulation areas with the Tomar platform, small mounds and cupules (Alcabideque) developed within the alternating marly-limestone levels. They represent the so called «mud mounds» of metric dimensions. The upper part of these «mud mounds» is hardened, showing track remains and supporting some brachiopods and pectinids. Hence the lumpy facies of Portugal is included among the range of sedimentaty environments and can be used as «geodynamic tracer».

La cuirasse ferrugineuse conglomératique de Cabatuquila (Malanje - R. P. d'Angola) et sa signification paléogéographique

Cabatuquila conglomerate ferricrete (Malanje Province, located North Central Angola) corresponds to a thick (1O-15m) and hardcornice at the top of "Baixa de Cassanje" escarpment. "Baixa de Cassanje" is a large graben part of South Congo basin. Cabatuquila conglomerate ferricrete seems to correspond to a Plio-Pleistocene morphology which has already disappeared. Laterization dynamics and ferricrete formation processes took place on the Tertiary surface, before being tilted to the Congo Basin. Materials submitted to these processes are mainly alluvial deposits from a pre-Cuanza drainage system. This drainage system flowed to the North before being captured to the Atlantic, as a consequence of the movement which deformed the Tertiary surface during the Pleistocene. The erosion dynamics, which created the Cassanje depression, has occurred after the late Tertiary surface deformation. That dynamics might be related to the Cuango drainage system, which was reorganized after that deformation.

Orthogonal models, structure crossing, nesting and inference

We intend to study the algebraic structure of the simple orthogonal models to use them, through binary operations as building blocks in the construction of more complex orthogonal models. We start by presenting some matrix results considering Commutative Jordan Algebras of symmetric matrices, CJAs. Next, we use these results to study the algebraic structure of orthogonal models, obtained by crossing and nesting simpler ones. Then, we study the normal models with OBS, which can also be orthogonal models. We intend to study normal models with OBS (Orthogonal Block Structure), NOBS (Normal Orthogonal Block Structure), obtaining condition for having complete and suffcient statistics, having UMVUE, is unbiased estimators with minimal covariance matrices whatever the variance components. Lastly, see ([Pereira et al. (2014)]), we study the algebraic structure of orthogonal models, mixed models whose variance covariance matrices are all positive semi definite, linear combinations of known orthogonal pairwise orthogonal projection matrices, OPOPM, and whose least square estimators, LSE, of estimable vectors are best linear unbiased estimator, BLUE, whatever the variance components, so they are uniformly BLUE, UBLUE. From the results of the algebraic structure we will get explicit expressions for the LSE of these models.