基于幂函数形式物质平衡方法的高压、超高压气藏储量评价

高压、超高压气藏的储层岩石有效压缩系数、含水层体积及水侵量难以确定,常规视储层压力与累计产气量曲线外推法或其改进方法计算的该类气藏储量的准确度较低。为了提高储量评估的准确性和可靠性,在Gonzalez方法的基础上,建立幂函数形式的高压、超高压气藏物质平衡方程,并结合20个国外已开发高压、超高压气藏实例,确定幂指数经验值,分析了视储层压力衰竭程度和采出程度对储量计算可靠性的影响,确定影响储量评价可靠性的关键参数(视储层压力衰竭程度)的临界值,并与两段式临界值进行了对比和实例计算。研究结果表明:①幂函数形式物质平衡方法的幂指数经验值为1.028 47,其上限值为1.115 67;②经典二段式拐点对应的视储层压力衰竭程度介于0.14~0.38,平均值为0.23,第二直线段外推点对应的视储层压力衰竭程度介于0.23~0.50,平均值为0.33,对应的采出程度介于33%~65%,平均值为45%;③采用上述方法计算了高压、超高压气藏的储量,当视储层压力衰竭程度大于0.33时,计算结果误差小于10%。结论认为,针对高压、超高压及裂缝性应力敏感气藏,所提出的幂函数形式物质平衡方法避开了储层岩石有效压缩系数、含水层体积及水侵量等不确定性参数,具有计算过程简单、实用性较好、误差较小的优点。

固体物理中的态函数

1900年Plank提出了物理学第一定律黑体辐射理论,Plank的BlackBody辐射可以扩大到整个微观世界,所有微观世界都符合Plank的BlackBody辐射。固体物理以及固态物理是由固态的波函数以及能带波函数构成的。固态中的波函数是布洛赫态函数,固体物理中的态函数是研究各种各样运动的可能性,各种各样的运动的可能性构成了物质的态函数。

哑铃式聚合物分子模型流变学数值研究

本文介绍了求解哑铃式分子模型位形空间分布函数扩散方程的数值方法,以及用这种方法计算的若干分子模型的流变性质。在通常情况下,将这一方法与求解流动守恒方程的边界元法相结合,便有可能用一个得不到本构方程的分子模型去代替连续介质力学本构方程,来模拟聚合物流体的复杂流动。本文还讨论了这一方法某些令人感兴趣的特点。

Analysis of radial basis function interpolation approach

The radial basis function （RBF） interpolation approach proposed by Freedman is used to solve inverse problems encountered in well-logging and other petrophysical issues. The approach is to predict petrophysical properties in the laboratory on the basis of physical rock datasets, which include the formation factor, viscosity, permeability, and molecular composition. However, this approach does not consider the effect of spatial distribution of the calibration data on the interpolation result. This study proposes a new RBF interpolation approach based on the Freedman＇s RBF interpolation approach, by which the unit basis functions are uniformly populated in the space domain. The inverse results of the two approaches are comparatively analyzed by using our datasets. We determine that although the interpolation effects of the two approaches are equivalent, the new approach is more flexible and beneficial for reducing the number of basis functions when the database is large, resulting in simplification of the interpolation function expression. However, the predicted results of the central data are not sufficiently satisfied when the data clusters are far apart.

Properties of Strange Matter in a Model with Effective lagrangian

The strange hadronic matter with nucleons, -hyperons and -hyperons is studied by using an effective nuclear model in a mean-field approximation. The density and strangeness fraction dependence of the effective baryon masses as well as the saturation properties and stabilities of the strange hadronic matter are discussed.

Shape Optimization and Assessment of Wind Induced Stresses in Domes

Domes are popularly used for column free areas. They are employed as covers to reservoirs and treatment units and also as containment in nuclear reactors. Inverted domes are popular as foundations. Structures are built with an intended end use for a specified utility period. The functional requirement is to serve the purpose and the structural requirement constitutes stability, strength, safety, serviceability and durability. Satisfaction of these requirements at affordable costs is the goal of structural optimization. This paper demonstrates the need and scope for optimization of domes by formulating and solving the problem by use of calculus （volume of material is the objective function being minimized using first principles of calculus）. A simple but elegant method is suggested for determination of wind stresses by statics which compares very well with that obtained by rigorous method.

Effect of MgO and SiO_2 on surface tension of fluoride containing slag

Surface tensions of slag addition Mg O and Si O2 based on conventional 70%CaF 2-30%Al2O3 and 60%Ca F2-20%Ca O-20%Al2O3(mass fraction) at 1300 °C, 1400 °C and 1500 °C were investigated. Influence mechanism of Mg O and Si O2 on slag surface tension was also analyzed. Results indicate that surface tension decreases with the increase of Mg O content in the case of the Mg O content(mass fraction) less than 8%, however, when Mg O content(mass fraction) is from 8% to 30%, surface tension increases with the increase of Mg O content. When Si O2 content(mass fraction) is from 2% to 8%, surface tension decreases with the increase of Si O2 content. Additionally, the relationship between surface tension and optical basicity is a monotonically increasing linear function. Research findings can provide important reference for slag design and the study of slag-metal interfacial tension.

A Kind of Atomic Coherent State as a Two-Mode Squeezed State

We find that a kind of atomic coherent state, formed as exp[ ξJ＋-ξJ-]｜00〉,when the SU（2） generators J± are taken as Fan＇s form J＋=（1/2）（α1-α2）（α1-α2）,J-=（1/2）（α1＋α2）（α1＋α2）,and J0=（1/2）（α1α2-α1α2）,is simultaneously a two-mode squeezed state. We analyse this squeezed state＇s physical properites, such as the cross- correlation function, the Wigner function, and its marginal distribution as well as the Husimi function.

The Filtration Problems of Fluid Containing Solute Through Layered Porous Media

In this paper, we consider the problem (θ(x,U))_t=(K(x,U)U_x)_x-(K(x,U))_x (x,t)∈G_T (θ(x,U)V(x,t))_t=(DθV_x)_x+(V(KU_x-K))_x,(x,t)∈G_T, u(x,0)=u_0(x),V(x,0),(x,0)=V_0(x),0≤x≤2, U(0,t)=h_0(t),U(2,t)=h_2(t),0≤t≤T, V(0,t)=g_0(t),V(2,t)=g_2(t),0≤t≤T. Where, θ(x,U)=θ_1(x,U) when (x,t)∈D_1={0≤x<1,0≤t≤T};θ(x,U)=θ_2(x,U),(x,t)∈D_2={1<x≤2,0≤t≤T}.K(x,U)=K_i(x,U),(x,t)∈D_i. θ_i, K_i are the Moisture content and hy draulic conductivity of porous Media on D_i respectively. V be the the concentration of solute in the fluid. In addition we also require that U, V, (K(x,U)U_x-1) and DθV_x+V(KU_x-K) are continu ous at x=1. We prove the exisence, uniqueness and large time behavior of the problem by the method of reg ularization.

Statistical thermodynamic properties of a new self-condensing vinyl polymerization system

A new self-condensing vinyl polymerization system consisting of *ABf-type inimers is studied by the principle of statistical mechanics. To obtain the relevant average properties of the system, a differential equation satisfied by the polymeric moment of interest is given, and as a result the zeroth, first, second, and third polymeric moments together with the size distribution function of hyperbranched polymers(HBPs) are explicitly presented. As an application of the method of statistical mechanics, several thermodynamic quantities such as the equilibrium free energy, law of mass action, isothermal compressibility, internal energy, and the specific heat associated with the polymerization are all derived. Furthermore, the scaling behavior of asymptotic size distribution function is discussed, by which a reasonable interpretation of the polydispersity index near the end of polymerization can be made. Also, the expressions of some structural parameters such as the numbers of inimers, terminal units, chain units, branched units, and the degree of branching(DB) are calculated. It is found that a high functionality is helpful to improve the DB of the resultant HBPs. These results show that the functionality f has a significant effect on the thermodynamic quantities and structural properties of HBPs.