Vibration analysis of drillstrings with self-excited stick-slip oscillations

Drillstring vibration is one of the major causes for a deteriorated drilling performance. Field experience revealed that it is crucial to understand the complex vibrational mechanisms experienced by a drilling system in order to better control its functional operation and improve its performance. Sick-slip oscillations due to contact between the drilling bit and formation is known to excite severe torsional and axial vibrations in the drillstring. A dynamic model of the drillstring including the drillpipes and drillcollars is formulated. The equation of motion of the rotating drillstring is derived using Lagrangian approach in conjunction with the finite element method. The model accounts for the torsional-bending inertia coupling and the axial-bending geometric nonlinear coupling. In addition, the model accounts for the gyroscopic effect, the effect of the gravitational force field, and the stick-slip interaction forces. Explicit expressions of the finite element coefficient matrices are derived using a consistent mass formulation. The generalized eigenvalue problem is solved to determine modal transformations, which are invoked to obtain the reduced-order modal form of the dynamic equations. The developed model is integrated into a computational scheme to calculate time-response of the drillstring system in the presence of stick-slip excitations.     

Grenzbedingungen der Elektrodynamik für Medien mit räumlicher Dispersion und Übergangsschichten

Boundary Conditions of Electrodynamics for Media with Spatial Dispersion and for Transition Layers Starting from Maxwell's equations of macroscopic electrodynamics for spatially inhomogeneous anisotropic media with spatial dispersion the boundary conditions are derived with an essentially new method using generalized functions and expansions of the fields in terms of moments. We find a complete infinite system of boundary conditions, which can be reduced to finite systems by approximations. For the special cases of first order spatial dispersion and for transition layers we obtain boundary conditions in the first approximation, which improve and generalize the usual ones.     

An antiresonance theory in weakly electrically conducting ferromagnets

A macroscopic theory of the antiresonance effect (AR) was investigated in weakly electrically conducting ferromagnetic metals in the parallel configuration by solving the Maxwell equations (including the displacement current) and the Landau-Lifschitz equation of motion (including a weak magnetocrystalline anisotropy). The analytical expressions for the AR conditions, the dispersion relations, the surface impedance, the line width and the AR transmission ratio of a thin plate, were derived. These expressions can be applied at microwave frequencies (or in the far infrared region) predominantly. The case of magnetite (Fe₃O₄) is investigated as an example of a ferromagnet with a low electrical conductivity.     

Relativistic four-quark equations and exotic mesons

The relativistic four-quark equations are found in the framework of the dispersion relation technique. The behaviour of the low-energy four-particle amplitude is determined by its leading singularities in the pair invariant masses. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The mass values of lowest exotic mesons are calculated.     

Modeling of hazardous air pollutant removal in the pulsed corona discharge

This study investigated the effects of two parts of the performance equation of the pulsed corona reactor, which is one of the non-thermal plasma processing tools of atmospheric pressure for eliminating pollutant streams. First, the effect of axial dispersion in the diffusion term and then the effect of different orders of the reaction in the decomposition rate term were considered. The mathematical model was primarily developed to predict the effluent concentration of the pulsed corona reactor using mass balance, and considering axial dispersion, linear velocity and decomposition rate of pollutant. The steady state form of this equation was subsequently solved assuming different reaction orders. For the derivation of the performance equation of the reactor, it was assumed that the decomposition rate of the pollutant was directly proportional to discharge power and the concentration of the pollutant. The results were validated and compared with another predicted model using their experimental data. The model developed in this study was also validated with two other experimental data in the literature for N₂O.     

各向异性超导体的Ginzburg-Landau理论

本文内容主要有二个方面：1）由各各同性均匀系的BCS理论扩展到各向异性非均匀系，并给出各种异性非均匀系的完整的GL方程式，定出了各个宏微观参量间的关系式。2）结合层状结构氧化物超导体的导电层在导电层相间的特征等，用有效调制势模型和电子有效质量近似，交各向同性均匀系的BCS理论较具体的扩展到各向异性非均匀系并进行深化研究，扩展理论所给出的临界温度和能隙方程公式，主要的热力学性质和电磁性质公式等应用到YBaCuO超导体上，理论结果与实验结果均相符，并也给出各向异性非均匀系的完整的GL方程式，与上面1所给出的形式相同，也定出了各个宏微观参量间的关系，应用到YBaCuO超导体的一些主要性质上也与实验结果相符。     

各向异性超导体的Ginzburg-Landau理论

本文内容主要有二个方面 :1 )由各向同性均匀系的BCS理论扩展到各向异性非均匀系 ,并给出各向异性非均匀系的完整的GL方程式 ,定出了各个宏微观参量间的关系式。2 )结合层状结构氧化物超导体的导电层与非导电层相间的特征等 ,用有效调制势模型和电子有效质量近似 ,将各向同性均匀系的BCS理论较具体地扩展到各向异性非均匀系并进行深化研究。扩展理论所给出的临界温度和能隙方程公式 ,主要的热力学性质和电磁性质公式等应用到YBaCuO超导体上 ,理论结果与实验结果均相符 ,并也给出各向异性非均匀系的完整的GL方程式 ,与上面 1所给出的形式相同 ,也定出了各个宏微观参量间的关系 ,应用到YBaCuO超导体的一些主要性质上也与实验结果相符。     

High-power ultrasonic system for the enhancement of mass transfer in supercritical CO2 extraction processes

Oil is an important component of almonds and other vegetable substrates that can show an influence on human health. In this work the development and validation of an innovative, robust, stable, reliable and efficient ultrasonic system at pilot scale to assist supercritical CO₂ extraction of oils from different substrates is presented. In the extraction procedure ultrasonic energy represents an efficient way of producing deep agitation enhancing mass transfer processes because of some mechanisms (radiation pressure, streaming, agitation, high amplitude vibrations, etc.).A previous work to this research pointed out the feasibility of integrating an ultrasonic field inside a supercritical extractor without losing a significant volume fraction. This pioneer method enabled to accelerate mass transfer and then, improving supercritical extraction times. To commercially develop the new procedure fulfilling industrial requirements, a new configuration device has been designed, implemented, tested and successfully validated for supercritical fluid extraction of oil from different vegetable substrates.     

Relativistic three-quark equations and low-lying baryon spectroscopy

The relativistic three-quark equations are found in the framework of the dispersion relations technique. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitude are obtained. The calculated mass values of two baryonic multipletsJ ^P =1/2⁺, 3/2⁺ are in good agreement with the experimental ones.     

Electrodynamic stabilization conditions for high-temperature superconducting composites with different types of current-voltage characteristic nonlinearity

The current instability is studied in high-temperature superconducting current-carrying elements with I–V characteristics described by power or exponential equations. Stability analysis of the macroscopic states is carried out in terms of a stationary zero-dimensional model. In linear temperature approximation criteria are derived that allow one to find the maximum allowable values of the induced current, induced electric field intensity, and overheating of the superconductor. A condition is formulated for the complete thermal stabilization of the superconducting composite with regard to the nonlinearity of its I–V characteristic. It is shown that both subcritical and supercritical stable states may arise. In the latter case, the current and electric field intensity are higher than the preset critical parameters of the superconductor. Conditions for these states depending on the properties of the matrix, superconductor’s critical current, fill factor, and nonlinearity of the I–V characteristic are discussed. The obtained results considerably augment the class of allowable states for high-temperature superconductors: it is demonstrated that there exist stable resistive conditions from which superconductors cannot pass to the normal state even if the parameters of these conditions are supercritical.     

Quantum macroscopic equations from Bohm potential and propagation of waves

Bohm’s interpretation of Quantum Mechanics leads to the derivation of a Quantum Kinetic Equation. In the present work, moments of this kinetic equation are taken, thus deriving conservation equations. These macroscopic equations are then applied to study the propagation of longitudinal density perturbations in neutral gases and plasmas, of either fermions or bosons. The dispersion relation is derived and the effect of the Bohm potential shown; the speed of propagation calculated and the difference between fermions and bosons investigated. Pseudosonic waves in quantum plasmas are obtained including the effect of the Bohm potential.     

超临界压力CO2在水平圆管内流动传热数值分析

采用SST k-w低雷诺数湍流模型对加热条件下超临界压力CO2在内径di=22.14 mm,加热长度Lh=2440 mm水平圆管内三维稳态流动与传热特性进行了数值计算.通过超临界CO2在水平圆管内的流动传热实验数据验证了数值模型的可靠性和准确性.首先,研究了超临界压力CO2在水平圆管内的流动传热特点,基于超临界CO2在类临界温度Tpc处发生类液-类气“相变”的假设,揭示了水平圆管顶母线和底母线区域不同的流动传热行为.然后,分析了热流密度qw和质量流速G对水平圆管内超临界压力CO2流动换热的影响,通过获取流体域内的物性分布、速度分布和湍流分布等详细信息,重点解释了不同热流密度qw和质量流速G下顶母线内壁温度Tw,i分布产生差异的传热机理,分析结果确定了类气膜厚度d、类气膜性质、轴向速度u和湍动能k是影响顶母线壁温分布差异的主要因素.研究结果可以为超临界压力CO2换热装置的优化设计和安全运行提供理论指导.     

Theoretical investigation on cross-flow heat exchangers with axial dispersion in one fluid

The axial dispersion model for cross-flow heat exchangers is investigated to predict steady state thermal performance more accurately. This model takes flow maldistribution and backmixing into account and is simple and effective in describing their effect on the temperature effectiveness of a heat exchanger. An exact solution together with its asymptotic form for high dispersive Péclet numbers is obtained. The analysis shows that the temperature effectiveness deterioration caused by axial dispersion is significant for the dispersive Péclet number P_e < 20, particularly when the thermal capacity rate ratio is close to one. The P₁, P₂-charts are presented, which are useful for the design of compact cross-flow heat exchangers.     

磁化等离子体填充螺旋线的色散方程

利用等离子体流体理论和纵向场分量法，结合螺旋线的导电面模型，对在有限磁场作用下，填充等离子体的螺旋线进行了严格的场分析. 在给出各区域电磁场分量表达式的基础上，利用螺旋线的边界条件，导出了磁化等离子体填充螺旋线中电磁波传播所满足的色散方程，并对所导出的色散方程进行了讨论. 关键词： 有限磁场 等离子体 螺旋线 色散方程     

循环流化床内颗粒团流动的研究

循环流化床颗粒相流动具有多尺度效应:单颗粒运动的微尺度、颗粒团运动的介尺度和固相运动的宏尺度。颗粒相流动参数受单颗粒运动和颗粒聚团运动的制约,同时影响气相流动。基于气体分子运动论和颗粒动理学,建立相平均稠密气固两相流流动模型。介尺度模型考虑颗粒团与单颗粒之间、颗粒团与气相之间的动量和能量的传递和耗散。模拟计算颗粒容积份额、速度等参数与实测值相吻合。     

Investigation of the diocotron instability of an infinitely wide sheet electron beam by using the macroscopic cold-fluid model theory

This paper investigates the diocotron instability of an infinitely wide relativistic sheet electron beam in conducting walls propagating through a uniform magnetic field by using the macroscopic cold-fluid model theory. Assuming low-frequency perturbations with long axial wavelengths, the eigenvalue equation and the dispersion relation are acquired for a sheet electron beam with sharp boundary profile and uniform density. The results presented in this paper has developed the use of the macroscopic cold-fluid model theory by extending the parameter of the electron cyclotron frequency ω_c to a wider usage range, which is restricted to be much larger than the plasma frequency ω_p in the previous research work. Theoretical analyses and numerical calculations indicate that the transport of the sheet electron beam will be completely stabilized by augmenting the normalized beam thickness to a conductor gap larger than a threshold λ_b, which is greatly dependent on the parameter ω_c/ω_p. The larger ω_c/ω_p is, the smaller λ_b will be needed. Moreover, the system parameters, including the wave number k_x of the perturbations and the relativistic mass factor γ_b, will also influence the growth rate of diocotron instability obviously.     

Scale-wise coherent vorticity extraction for conditional statistical modeling of homogeneous isotropic two-dimensional turbulence

Classical statistical theories of turbulence have shown their limitations, in that they cannot predict much more than the energy spectrum in an idealized setting of statistical homogeneity and stationarity. We explore the applicability of a conditional statistical modeling approach: can we sort out what part of the information should be kept, and what part should be modeled statistically, or, in other words, “dissipated”? Our mathematical framework is the initial value problem for the two-dimensional (2D) Euler equations, which we approximate numerically by solving the 2D Navier-Stokes equations in the vanishing viscosity limit. In order to obtain a good approximation of the inviscid dynamics, we use a spectral method and a resolution going up to 8192². We introduce a macroscopic concept of dissipation, relying on a split of the flow between coherent and incoherent contributions: the coherent flow is constructed from the large wavelet coefficients of the vorticity field, and the incoherent flow from the small ones. In previous work, a unique threshold was applied to all wavelet coefficients, while here we also consider the effect of a scale by scale thresholding algorithm, called scale-wise coherent vorticity extraction. We study the statistical properties of the coherent and incoherent vorticity fields, and the transfers of enstrophy between them, and then use these results to propose, within a maximum entropy framework, a simple model for the incoherent vorticity. In the framework of this model, we show that the flow velocity can be predicted accurately in the L² norm for about 10 eddy turnover times.     

Numerical simulations of stable cavitation bubble generation and primary Bjerknes forces in a three-dimensional nonlinear phased array focused ultrasound field

We present a model developed for studying the generation of stable cavitation bubbles and their motion in a three-dimensional volume of liquid with axial symmetry under the effect of finite-amplitude phased array focused ultrasound. The density of bubbles per unit volume is determined by a nonlinear law which is a threshold-dependent function of the negative acoustic pressure reached in the liquid, in which nuclei are initially distributed. The nonlinear mutual interaction of ultrasound and bubble oscillations is modeled by a nonlinear coupled differential system formed by the wave and a Rayleigh-Plesset equations, for which both the pressure and the bubble oscillation variables are unknown. The system, which accounts for nonlinearity, dispersion, and attenuation due to the bubbles, is solved by numerical approximations. The nonlinear acoustic pressure field is then used to evaluate the primary Bjerknes force field and to predict the subsequent motion of bubbles. In order to illustrate the procedure, a medium-high and a low ultrasonic frequency configurations are assumed. Simulation results show where bubbles are generated, the nonlinear effects they have on ultrasound, and where they are relocated. Despite many physical restrictions and thanks to its particularities (two nonlinear coupled fields, bubble generation, bubble motion), the numerical model used in this work gives results that show qualitative coherence with data observed experimentally in the framework of stable cavitation and suggest their usefulness in some application contexts.     

碲溶剂法生长碲镉汞晶体的数值模拟

提出了碲溶剂法在稳态条件下生长碲镉汞晶体的理论模型.该模型利用与时间相关的一维物质扩散方程组，熔区自由边界通过相图来确定.采用有限差分法完成了组分x=0.2的长波碲镉汞晶体生长过程的数值模拟.讨论了液相区温度场分布、加热器移动速度、液相区长度和生长界面温度对生长碲镉汞晶体轴向组分的影响.模拟结果与实验结果相符. 关键词：     

Green’s function approach to the low temperature properties of Cs<Subscript>2</Subscript>CuCl<Subscript>4</Subscript>: anisotropy effects

We have studied the effect of both axial and transverse anisotropy on the critical field and thermodynamic properties of the field induced three dimensional antiferromagnetic Heisenberg model on the frustrated hexagonal lattice for Cs₂CuCl₄ compound. The spin model is mapped to a bosonic one with the hard core repulsion constraint and the Green’s function approach has been implemented to get the low energy spectrum and the corresponding thermodynamic properties. To find the critical field (B _c ) we have looked for the Bose-Einstein condensation of quasi-particles (magnons) which takes place when the magnon spectrum vanishes at the ordering spiral wave vector. We have also obtained the dispersion of magnon spectrum in the critical magnetic field for each anisotropy parameter to find the spiral wave vector where the spectrum gets its minimum. The magnon energies show a linear dispersion relation close to the quantum critical point. The effect of hard core boson interaction on the single particle excitation energies leads to a temperature dependence of the magnon spectrum versus magnetic field. We have also studied the behavior of specific heat and static structure factor versus temperature and magnetic field.