Modelo de flujo en un acuífero volcánico : el Acuífero de la Aldea (Gran Canaria)

RESUMEN. Se ha llevado a cabo un modelo de flujo de aguas subterráneas en la desembocadura del Barranco de La Aldea (Gran Canaria). El área fue discretizada tridimensionalmente en celdas de 50x50 m considerando 3 capas. La capa superior está constituida por materiales sedimentarios y volcánicos (aluvial, derrubios de ladera y basaltos alterados) y las capas intermedia e inferior por basaltos. Se ha realizado un modelo en régimen estacionario simulando el año hidrológico medio 1991/92 y transitorio para el período de 1991/92-1998/99. Los límites norte, sur y este se han definido como bordes impermeables, la línea de costa se ha definido como nivel constante y la cabecera del barranco se ha simulado mediante un tramo de caudal prefijado representando el aporte de la cuenca alta del barranco. Las entradas en la zona son: recarga por lluvia, retornos de riego, pérdidas en la red de abastecimiento, cabecera del barranco principal y desde la zona de intra-caldera. Las salidas son: bombeos y descarga al mar. El borde inferior se define por el flujo nulo en el contacto entre los basaltos alterados y sin alterar. En el cauce de los barrancos se ha impuesto una condición de dren y las extracciones se han localizado según los datos obtenidos de las captaciones de la zona. Los parámetros resultantes de la calibración del modelo, en particular, la transmisividad, son del mismo orden que los obtenidos en estudios previos modelo. Por otro lado, los niveles calculados y observados presentan un buen ajuste y el balance hídrico resulta consistente. ABSTRACT. A groundwater flow model in La Aldea ravine lower part (Gran Canaria) has been developed. The zone has been tridimensionally discretized as cells of 50 x 50 m considering 3 layers. The superficial layer is formed by sedimentary and volcanic materials (Alluvial, screes and altered basalts) and the intermediate and lower layers are basalts. The model has been developed in stationary state for the average hydrologic year 1991/92 and in transitory state for the period of 1991/92-1998/99. The North, South and East limits have been defined as null flow boundary conditions, the coast line has been defined as constant level and the ravine bed at the east has been defined as a constant flow, representing the contribution from the upper ravine basin. Recharge is a result of rainfall, irrigation returns, supply network leaks and inflow from the intra-caldera zone. Discharge takes place by pumping wells and flows towards the sea. The bottom surface is defined as a null flow condition in the limit between altered and unaltered basalts. A drain condition has been imposed in the ravine and the pumping wells extraction has been located. The simulation results indicate that the transmisivities obtained in previous works present the same order of magnitude than the obtained in the model and the calculated levels are in good agreement with the observed levels measurements.

On existence and uniqueness of positive solutions to a class of fractional boundary value problems

[EN] The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fractional boundary value problem D 0 + α u ( t ) + f ( t , u ( t ) ) = 0 , 0 < t < 1 , u ( 0 ) = u ( 1 ) = u ′ ( 0 ) = 0 , where 2 < α ≤ 3 and D 0 + α is the Riemann-Liouville fractional derivative. Our analysis relies on a fixed-point theorem in partially ordered metric spaces. The autonomous case of this problem was studied in the paper [Zhao et al., Abs. Appl. Anal., to appear], but in Zhao et al. (to appear), the question of uniqueness of the solution is not treated. We also present some examples where we compare our results with the ones obtained in Zhao et al. (to appear). 2010 Mathematics Subject Classification: 34B15

Existence and uniqueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems

[EN] We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed point theorem in partially ordered sets.

Water masses and circulation in the surface layers of the Caribbean at 66ºW

[EN] A meridional hydrographic section was made in August–September 1997 at 66°W from the coast of Venezuela to Woods Hole aboard the R/V Knorr. In this report, we concentrate on near surface measurements in the Caribbean. The data show two distinct water masses with different origins. From approximately 14°N to Puerto Rico, Caribbean Surface Water and Subtropical Under Water with their source in the North Atlantic are found, as previously observed. From Venezuela to approximately 13°N, a less saline water mass with its source in the Tropics and South Atlantic is found. Within the southern portion of the section, two different velocity patterns are observed, namely, an eastward flow with a subsurface maximum near the coast of Venezuela, and a surface intensified westward jet with Velocities of 130 cm s−1 in midbasin.

Shape design optimization of road acoustic barriers featuring top-edge devices by using Genetic Algotithms and Boundary Elements

[EN] This paper presents a Boundary Elements (BE) approach for the efficiency improvement of road acoustic barriers, mora specifically, for the shape design optimization of top-edge devices in the search for the best designs in terms of screening performance, usually represented by the insertion loss (IL).

3-D Boundary element-finite element method for the dynamic analysis of piled buildings.

[EN]A boundary element-finite element model is presented for the three-dimensional dynamic analysis of piled buildings in the frequency domain. Piles are modelled as compressible Euler-Bernoulli beams founded on a linear, isotropic, viscoelastic, zoned-homogeneous, unbounded layered soil, while multi-storey buildings are assumed to be comprised of vertical compressible piers and rigid slabs.

Application of evolutionary algorithms and the boundary element method in the optimization of noise barrier profiles

[EN]This Ph.D. thesis presents a general, robust methodology that may cover any type of 2D acoustic optimization problem. A procedure involving the coupling of Boundary Elements (BE) and Evolutionary Algorithms is proposed for systematic geometric modifications of road barriers that lead to designs with ever-increasing screening performance. Numerical simulations involving single- and multi-objective optimizations of noise barriers of varied nature are included in this document. results disclosed justify the implementation of this methodology by leading to optimal solutions of previously defined topologies that, in general, greatly outperform the acoustic efficiency of classical, widely used barrier designs normally erected near roads.