A coupled hydro-mechanical analysis for prediction of hydraulic fracture propagation in saturated porous media using EFG mesh-less method

The details of the Element Free Galerkin (EFG) method are presented with the method being applied to a study on hydraulic fracturing initiation and propagation process in a saturated porous medium using coupled hydro-mechanical numerical modelling. In this EFG method, interpolation (approximation) is based on nodes without using elements and hence an arbitrary discrete fracture path can be modelled.The numerical approach is based upon solving two governing partial differential equations of equilibrium and continuity of pore water simultaneously. Displacement increment and pore water pressure increment are discretized using the same EFG shape functions. An incremental constrained Galerkin weak form is used to create the discrete system of equations and a fully implicit scheme is used for discretization in the time domain. Implementation of essential boundary conditions is based on the penalty method. In order to model discrete fractures, the so-called diffraction method is used.Examples are presented and the results are compared to some closed-form solutions and FEM approximations in order to demonstrate the validity of the developed model and its capabilities. The model is able to take the anisotropy and inhomogeneity of the material into account. The applicability of the model is examined by simulating hydraulic fracture initiation and propagation process from a borehole by injection of fluid. The maximum tensile strength criterion and Mohr-Coulomb shear criterion are used for modelling tensile and shear fracture, respectively. The model successfully simulates the leak-off of fluid from the fracture into the surrounding material. The results indicate the importance of pore fluid pressure in the initiation and propagation pattern of fracture in saturated soils. © 2013 Elsevier Ltd.

Effect of Tannic Acid on the Growth and Survival of Root Vles (Micortus oeconomus)

The objective of this study was to investigate the effects of tannic acid on the gworth and survival of small mammalian berbirvores. Measurements were conducted with weaned root voles fed with 3% or 6% tannic acid and 10% or 20% protein in their diets. The results indicated that the effect of tannic acid on growth rate of weaned root voles was greater when given a lower protein diet than a higher protein diet. After 20 d, with 10% protein diets, mean growth rates of the weaned voles fed with 3% or 6% tannic acid were -0.135 g/d and -0.25 g/d, respectively. When given 20% protein diet, mean growth rates of weaned root voles fed with 3% and 6% tannic acid for 20 d were 0.134 g/d and -0.116 g/d, respectively. Food utilization efficiencies of the voles fed with 3% and 6% tannic acid diets were significantly lower than that of the control diet at the level of 10% protein. When given the 20% protein diet, food utilization efficiencies of weaned voles fed with 6% tannic acid were significantly lower than that of the voles fed with 3% tannic acid diet or the control diet with the 10% protein diets, the average survival days of the weaned voles fed with 3% and 6% tannic acid diets decreased 26.23% and 49.36% compared to controls at the end of trial period, respectively. With 20% protein diets, the average survival of weaned voles given 6% tannic acid diet decreased 39.41% compared to controls at the end of trial period, although weaned voles given 3% tannic acid had a slight decrease of average survival days. The results of study suggested that tannins could substanitially affect the individual performance of weaned root voles.

Behavioural reaction of root vole (Microtus oeconomus pallas) males of different social ranks to familiar and novel odour of conspecific males

In this experiment, we tested the hypothesis that males of root voles (Microtus oeconomus Pallas) of different social ranks display different behavioural strategies. To document behavioural differences between social ranks, we investigated patterns in the behavioural responses to urine cues from familiar and novel individu in a choice maze. Ten pairs of male voles were efectively used in this experiment. All behaviour was recorded with OBSERVER 5.0. When experiment was finished, video tapes were transformed into digital data. Then all data were analyzed by SPSS. The results showed that the approach latency of subordinates was shorter for familiar odours than novel ones, dominant individuals preferentially entered the strange odourant box, subordinates preferred familiar odours over novel ones, subordinates spent more time visiting familiar odours compared to the novel odours, dominants preferred novel odours to familiar ones, subordinates approached familiar odours more frequently than novel ones and self-groomed more often in the familiar odourant box than in the novel box, and dominant and subordinate individuals showed significantly different countermarking behaviours to familiar and novel odours. In conclusion, the dominants and subordinates displayed different behaviour patterns when faced to familiar and novel conspecific males' urine cues. The data support our hypothesis that differences in social rank induce differences in behavioural patterns.