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NUMERICAL ANALYSIS OF A PROBLEM INVOLVING A VISCOELASTIC BODY WITH DOUBLE POROSITY

Journal of Computational Mathematics 2022年第3期40卷 415-436页

作者： Noelia Bazarra Jose R.Fernandez MariCarme Leseduarte antonio magana Ramon Quintanilla Departamento de Matematica Aplicada I Universidade de VigoETSI TelecomunicacionCampus As Lagoas Marcosende s/n36310 VigoSpain Departamento de Matematicas E.S.E.I.A.A.T.-U.P.C.Colom 1108222 TerrassaBarcelonaSpain

We study from a numerical point of view a multidimensional problem involving a viscoelastic body with two porous *** mechanical problem leads to a linear system of three coupled hyperbolic partial differential *** corresponding variational formulation gives rise to three coupled parabolic linear *** existence and uniqueness result,and an energy decay property,are ***,fully discrete approximations are introduced using the finite element method and the implicit Euler scheme.A discrete stability property and a priori error estimates are proved,from which the linear convergence of the algorithm is derived under suitable additional regularity ***,some numerical simulations are performed in one and two dimensions to show the accuracy of the approximation and the behaviour of the solution.

关键词： Viscoelasticity with double porosity Finite elements A priori estimates Numerical simulations

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Isotopic Variations of Oxygen (δ^(18)O) in Benthic Foraminifera under Antiestuarine Conditions in the Colorado River Delta

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Open Journal of Geology 2018年第2期8卷 104-123页

作者： Miguel A.Santa Rosa-del Río Ismael Yarbuh Rigoberto Guardado-France Ronald M.Spelz Raúl Herrera-Gutiérrez Karla Mejia-Pina Miguel Agustín Tellez-Duarte Luis antonio Cupul-magana Universidad Autónoma de Baja California Facultad de Ciencias MarinasArea de GeologíaEnsenadaMéxico

Benthic foraminifera are excellent environmental indicators;CaCO3 test records the isotopic concentration of their surroundings and can be used to analyze environmental changes that occur during a certain time period. Stable isotopes, particularly those of oxygen (δ18O), are useful for interpreting ancient environments, given that they are used as “proxy” environmental variables (temperature and salinity). In this study, we provide ranges of isotopic variation in benthic foraminifera communities from the Colorado River delta. Four sampling campaigns were conducted in one year (2009-2010) in the adjacent subtidal zone of Baja California. Four transects with a total of sixteen sample station were drawn perpendicular to the coastline. Here, we recorded the following in situ: sand-type, salinity, and temperature. In the laboratory, 300 individuals per sample were separated, and sub-samples were taken for isotopic analysis. Data was processed using the software’s R 2.12.2, PAST 1.81 and Arc Map 9.3. Forty species were identified in the dead assemblages (Thanatocoenosis), whereas thirteen species were found in the living assemblages (Biocoenosis). The most abundant species in both communities belong to the genera Ammonia and Cribroelphidium. In the living assemblages, isotopic variation −2.15% to 5.94% within a temperature interval of 11°C, indicated antiestuarine conditions. In the dead assemblages, isotopic composition −3.04 to −0.74 served as a sign of estuarine conditions prior to damming.

关键词： Stable Isotopes Living Assemblages Dead Assemblages Upper Gulf of California

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