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The multiple-relaxation-time lattice Boltzmann method (MRT-LBM) is implemented to numerically simulate the cross flow over a longitudinal vibrating circular cylinder. This research is carried out on a three-dimensional (3D) finite cantilevered cylinder to investigate the effect of forced vibration on the wake characteristics and the 3D effect of a cantilevered cylinder. To meet the accuracy of this method, the present calculation is carried out at a low Reynolds number Re = 100, as well as to make the vibration obvious, we make the vibration strong enough. The calculation results indicate that the vibration has significant influence on the wake characteristics. When the vibrating is big enough, our early works show that the 2D vortex shedding would be locked up by vibration. Contrarily, this phenomenon would not appear in the present 3D case because of the end effect of the cantilevered cylinder.

Firstly,we choose a strata temperature gradient and start to compute.According to thermodynamic parameters,mud fluid parameters and well casing structure parameters etc.,the exit temperature of mud fluid can be obtained.By comparing the calculated value with the measured value of the exit temperature,we correct the chosen strata temperature gradient.Sequentially,we do above_mentioned works repeatedly until a proper strata temperature gradient is gained.Based on this,derived from the equations of thermodynamics and fluid mechanics,we can obtain the temperature variation along the depth of sidewall,and the mathematical model of distribution of strata temperature.Since mud fluid,rock and the temperature field are interactive and interfering during the process of drilling wells,the above technique provides a new method for investigating the theory and applications of the coupled thermal_hydrological_mechanical processes.