Abstract:
Due to a lack of suitable minerals, the gas/oil emplacement ages have never been accurately obtained before. CH4-CO2-saline-bearing secondary inclusions are found in quartz from the volcanic rocks of the Yingcheng Formation, the container rocks of the deep CO2 gas reservoir in the Songliao Basin. The inclusion fluid was trapped into microcracks in quartz during the gas emplacement and accumulation, providing an optimal target for the 40Ar-39Ar stepwise crushing technique to determine the CO2 gas emplacement age. 40Ar-39Ar dating results of a quartz sample by stepwise crushing yield a highly linear-regression isochron with an age of 78.4±1.3 Ma, indicating that the accumulation of the deep CO2 gas reservoir in the Songliao Basin occurred in the late Cretaceous. This is the first time to report an exact isotopic age for a CO2 gas reservoir, which indicates that the 40Ar-39Ar dating can serve as a new technique to date the oil/gas emplacement ages.

Abstract:
The South China Sea (SCS) is characterized by abundant seamounts, which provide important information about the evolution of the SCS and related deep processes. Cenozoic volcanism in the SCS and its surroundings comprises three stages relative to the spreading of the SCS: pre-spreading (>32 Ma), syn-spreading (32-16 Ma), and post-spreading (<16 Ma). The pre-spreading magmatism predominantly occurs on the northern margin of the SCS and in South China coastal areas and shows a bi-modal affinity. The syn-spreading magmatic activity was very limited on the periphery of the SCS, but may be concentrated in the SCS. However, seafloor samples of this stage are not available yet because of overlying thick sedimentary deposits. Post-spreading magmatism is widespread in the central and southwest sub-basins of the SCS, Hainan Island, Leizhou Peninsula, Thailand, and Vietnam. These are mainly alkali basalts with subordinate tholeiites, and display OIB-type geochemical characteristics. The Dupal isotope anomaly and presence of high-magnesian olivine phenocrysts suggests their possible derivation from the Hainan mantle plume. The temporal and spatial distribution of Cenozoic volcanism in the SCS and its surroundings may be accounted for either by plate stress re-organization before and after SCS spreading, or by ridge suction of plume flow during opening of the SCS. If the latter is the case, the volcanic rocks within the SCS basin may not be typical mid-ocean ridge basalts (MORB). It remains puzzling, however, that the transition between the South China continental margin and the SCS basin does not have features typical of a volcanic rifted margin. Clearly, the relationship between mantle plume and SCS opening needs further evaluation. A better understanding of the link between deep processes and opening of the SCS not only requires enhanced studies on igneous petrogenesis, but also is heavily dependent on systematic sampling of seafloor rocks.

Abstract:
The exact determination of isotopic ages of hydrocarbon accumulation, reconstruction and destruction periods using traditional isotopic dating methods is complex because of the small numbers of minerals that correlate with hydrocarbons. The quantitative and direct study of hydrocarbon geochronology is therefore an important scientific problem for isotope geochronology and petroleum geology. This study obtains two isotopic ages from a quartz vein sample associated with bitumen in a reverse fault located in the Bankeng paleo-reservoir on the southern margin of the middle Yangtze block (the northern margin of the Jiangnan-Xuefeng uplift) by inclusion 40Ar/39Ar stepwise crushing in a vacuum. Two different and good linear inverse isochrons that correspond to two age plateaus were determined. The two ages correspond to primary inclusions of about 228 Ma and secondary inclusions of about 149 Ma. These inclusion groups represent two distinct kinds of fluids. Quartz veins associated with bitumen in faulted paleo-reservoirs, which have a strict response relationship with tectonization and hydrocarbon accumulation, are the unified products of tectonic processes, hydrocarbon accumulation and reconstruction. Therefore, they can be used to constrain the hydrocarbon accumulation, reconstruction and destruction periods that are controlled by multiphase and complicated tectonic actions. The evolutionary processes of hydrocarbon accumulation can be divided into two periods consisting of a primary oil and gas reservoir formation period in the late Indosinian epoch (about 228 Ma) and a period of oil and gas reservoir reconstruction in the early Yanshan epoch (about 149 Ma). This study quantitatively reconstructs the hydrocarbon accumulation and destruction chronological framework of a giant hydrocarbon accumulation belt along the southern margin of the middle Yangtze block (the northern margin of the Jiangnan-Xuefeng uplift) controlled by multiphase and complicated tectonism. The two ages associated with hydrocarbons here correspond to the special controlling actions of continental tectonics in the Jiangnan-Xuefeng uplift that affected the timeline of reconstruction and destruction in this giant marine hydrocarbon accumulation. This study shows the feasibility and usefulness of dating inclusions with the 40Ar/39Ar technique for hydrocarbon geochronology, especially in the marine hydrocarbon accumulation region of southern China within a geological setting of old strata, high thermal evolution hydrocarbons, and complex, multiphase and multicycle tectonization.

Abstract:
The Beilekuduk tin metallogenic belt in the eastern Junggar of Xinjiang is the first one discovered in northern China with four independent tin deposits, from east to west, named Sareshik, Beilekuduk, Ganliangzi, and Kamst, respectively. These tin deposits can be divided into two groups in terms of their ore type and gangue mineral compositions. The ores in Sareshik tin deposit are quartz type, and the gangue minerals are predominately composed of quartz, with minor feldspar, but almost no muscovite. Whereas the other three tin deposits are greisen type, and mainly composed of quartz and feldspar, with minor muscovite. In this paper, the 40Ar-39Ar dating results are reported for muscovites from Kamst, Ganliangzi, Beilekuduk tin deposits. The three samples of muscovite in equilibrium with cassiterite yield very flat age spectra. The 40Ar/36Ar-39Ar/36Ar normal isochron ages are well concordant with their corresponding plateau ages, ranging from 305 to 315Ma. These results, together with the Re-Os isochron age of the Sareshik tin deposit we previously reported well constrain the mineralization ages for the four tin deposits, and hence confirm that they certainly belong to the same tin metallogenic belt. Moreover, the coincident ages of the tin ores and their granite wallrocks indicate the most likely genetic relationship between tin mineralization and granitic magmatism in the studied region.

Abstract:
A generalized Möbius transform is presented. It is based on Dirichlet characters. A general algorithm is developed to compute the inverse transform on the unit circle, and an error estimate is given for the truncated series representation.

Abstract:
The Book of Songs is a collection of poems and songs in Chinese Qin Dynasty, in which featured by a lot of using of reduplicative. This paper, based on the results of previous scholars, analyzes the structural types of reduplicative inThe Book of Songsfrom the aspects of reduplicative in radical, in rhymes and both. This paper is aimed to better understand the meaning of The Book of Songs, so as to improve language teaching and practical using, as well as help with corpus and theories. Key words: The Book of Songs; Reduplicative; Structure; Reduplicative in radical; Reduplicative in rhymes

Abstract:
For k, being a fixed integer ≥2, a positive integer n is called k-free number if n is not divisible by the kth power of any integer >1. In this paper, we studied the distribution of r-tuples of k-free numbers and derived an asymptotic formula. 1. Introduction A positive integer is called square-free number if it is not divisible by a perfect square except . Let be the characteristic function of the sequence of square-free numbers. That is, From [1] we know that Mirsky [2] studied the frequency of pairs of square-free numbers with a given difference and proved the asymptotic formula: Heath-Brown [3] investigated the number of consecutive square-free numbers not more than and obtained the following result: Pillai [4] gave an asymptotic formula for Tsang [5] proved the following. Proposition 1. Let be distinct integers with and For we have where is the number of distinct residue classes moduli represented by the numbers . For , being a fixed integer ≥2, a positive integer is called -free number if is not divisible by the th power of any integer >1. Let be the characteristic function of the sequence of -free integers. Gegenbauer [6] proved that Mirsky [7] showed that and in [2] Mirsky improved the error term to Meng [8] further improved this result as follows: Moreover, some recent results on pairs of -free numbers are given in [9, 10]. In this paper, we will study the distribution of -tuples of -free numbers by using the Buchstab-Rosser sieve and the methods in [5]. Our main result is the following. Theorem 2. Let be distinct integers with and For we have where is the number of distinct residue classes moduli represented by the numbers . Remark 3. Taking in Theorem 2, we immediately get Proposition 1. The main tool in our argument is the Buchstab-Rosser sieve. Let be a sequence of positive numbers which lie between and and let be a real number. Define . For any square-free number with , , let , where is the M？bius function and when the following set of inequalities is satisfied. Otherwise, . Similarly, let , where when the following set of inequalities is satisfied. Otherwise, . From [5] we know that for any positive integer and for any positive integer whose smallest prime factor does not exceed . In our case we take . Throughout this paper is an unspecified absolute constant. 2. Proof of Theorem 2 To prove the theorem we need the following lemma. Lemma 4. For any and any positive integers , , there exist absolute constants and such that Proof. This lemma can be proved by using the methods of the lemma in [5] with a slight modification. For completeness

Abstract:
A numerical study is performed to determine the collection efficiency of filters composed of staggered parallel Y and triple Y fibers. By employing the Lattice Boltzmann method, the Navier–Stokes equations are solved for flow fields in a two-dimensional domain with periodic boundary conditions. Trajectories of particles with different diameters arranging from 0.02 μm to 5 μm are then computed by solving the particle motion equation hence obtaining the collection efficiency of single Y and triple Y fibers. The effects of fiber orientation, Brownian motion, particulate size and Reynolds number on the collection efficiency of these two types of fibers are also evaluated numerically.Y and triple Y fibers have low packing density and relatively large area to volume ratio, and the latter property helps enhance the Brownian diffusion collection mechanism for smaller particles. The large void zone of these fibers can accommodate more particles, which improves the particle loading capacity. It is also found out that the flow field and collection efficiency of triple Y fiber is less susceptible to different fiber orientations due to its geometric symmetry. The numerical results obtained in this work provide helpful information in designing high efficiency filters.