Non-Darcian radial flow toward a finite-diameter, fully penetrating well in a confined aquifer was analyzed on the basis of the Izbash equation with consideration of the wellbore storage effect. We derived semi-analyt...Non-Darcian radial flow toward a finite-diameter, fully penetrating well in a confined aquifer was analyzed on the basis of the Izbash equation with consideration of the wellbore storage effect. We derived semi-analytical solutions of drawdown by using the Boltzmann transform, and obtained approximate analytical solutions of the drawdown at early and late times. MATLAB programs were developed to facilitate computation of the semi-analytical solutions. The turbulence factor v which was directly related to the pumping rate appeared to have negligible influence upon the wellbore well function at early times, but imposed significant influence at intermediate and late times. However, the turbulence factor v imposed non-negligible influence upon the aquifer well function during the entire pumping period, provided that the observation point was not sufficiently close to the wellbore. Sensitivity analysis indicated that the power index n in the Izbash equation had less influence on the type curves at the face of the pumping wellbore, but had much greater influence upon the well function in the aquifer. As the n values increased, the drawdown in the aquifer decreased at early times and increased at late times. The Boltzmann transformation could only be used in an approximate sense for radial non-Darcian flow problems. This approximation would provide accurate solutions at early times, and introduce small but consistent discrepancies at intermediate and late times for the wellbore well function.展开更多
The silver （Ag） nanowire arrays with regular and uniform size were successfully fabricated inside the nanochannels of anodic aluminum oxide （AAO） template by a simple paired cell method. X-ray diffi＇action （XRD...The silver （Ag） nanowire arrays with regular and uniform size were successfully fabricated inside the nanochannels of anodic aluminum oxide （AAO） template by a simple paired cell method. X-ray diffi＇action （XRD） and scanning elec- tron microscopy （SEM） results indicate that the as-synthesized samples are composed of face-centered cubic structure, and the average diameter is about 60-70 nm. Transmission electron microscopy （TEM） and the corresponding fast Fourier transformation （FFT） results show that Ag nanowires have a preferred single-crystal structure. Ultravio- let-visible （UV-vis） spectrum of Ag nanowire arrays exhibits UV emission band at 383 nm which can be attributed to the transverse dipole resonance ofAg nanowire arrays. A good surface-enhanced Raman scattering （SERS） spectrum is observed by excitation with a 514.5 nm laser, and the intensity of the SERS peak is about 23 times higher than that of the normal Raman peak measured from an empty AAO template. The high enhancement factor suggests that this method can be used to fabricate SERS sensor with high efficiency.展开更多
This paper is devoted to describing the asymptotic behavior of a structure made by a thin plate and a thin perpendicular rod in the framework of nonlinear elasticity. The authors scale the applied forces in such a way...This paper is devoted to describing the asymptotic behavior of a structure made by a thin plate and a thin perpendicular rod in the framework of nonlinear elasticity. The authors scale the applied forces in such a way that the level of the total elastic energy leads to the Von-Karman＇s equations （or the linear model for smaller forces） in the plate and to a one-dimensional rod-model at the limit. The junction conditions include in particular the continuity of the bending in the plate and the stretching in the rod at the junction.展开更多
基金the National Natural Science Foundation of China (Nos.50428907 and 50479011)
文摘Non-Darcian radial flow toward a finite-diameter, fully penetrating well in a confined aquifer was analyzed on the basis of the Izbash equation with consideration of the wellbore storage effect. We derived semi-analytical solutions of drawdown by using the Boltzmann transform, and obtained approximate analytical solutions of the drawdown at early and late times. MATLAB programs were developed to facilitate computation of the semi-analytical solutions. The turbulence factor v which was directly related to the pumping rate appeared to have negligible influence upon the wellbore well function at early times, but imposed significant influence at intermediate and late times. However, the turbulence factor v imposed non-negligible influence upon the aquifer well function during the entire pumping period, provided that the observation point was not sufficiently close to the wellbore. Sensitivity analysis indicated that the power index n in the Izbash equation had less influence on the type curves at the face of the pumping wellbore, but had much greater influence upon the well function in the aquifer. As the n values increased, the drawdown in the aquifer decreased at early times and increased at late times. The Boltzmann transformation could only be used in an approximate sense for radial non-Darcian flow problems. This approximation would provide accurate solutions at early times, and introduce small but consistent discrepancies at intermediate and late times for the wellbore well function.
基金supported by the High Level Talents Introduction Project of Xinjiang Uygur Autonomous Region(No.2013)
文摘The silver （Ag） nanowire arrays with regular and uniform size were successfully fabricated inside the nanochannels of anodic aluminum oxide （AAO） template by a simple paired cell method. X-ray diffi＇action （XRD） and scanning elec- tron microscopy （SEM） results indicate that the as-synthesized samples are composed of face-centered cubic structure, and the average diameter is about 60-70 nm. Transmission electron microscopy （TEM） and the corresponding fast Fourier transformation （FFT） results show that Ag nanowires have a preferred single-crystal structure. Ultravio- let-visible （UV-vis） spectrum of Ag nanowire arrays exhibits UV emission band at 383 nm which can be attributed to the transverse dipole resonance ofAg nanowire arrays. A good surface-enhanced Raman scattering （SERS） spectrum is observed by excitation with a 514.5 nm laser, and the intensity of the SERS peak is about 23 times higher than that of the normal Raman peak measured from an empty AAO template. The high enhancement factor suggests that this method can be used to fabricate SERS sensor with high efficiency.
文摘This paper is devoted to describing the asymptotic behavior of a structure made by a thin plate and a thin perpendicular rod in the framework of nonlinear elasticity. The authors scale the applied forces in such a way that the level of the total elastic energy leads to the Von-Karman＇s equations （or the linear model for smaller forces） in the plate and to a one-dimensional rod-model at the limit. The junction conditions include in particular the continuity of the bending in the plate and the stretching in the rod at the junction.
