重力学反问题中零外部位密度的研究

对重力学反问题研究中零外部位密度的数学性质及物理意义进行了系统研究和分析．首先从基本定义及条件的描述入手，推演出其数学表示和限制，由此揭示重力学反问题的非适定性形态，进而论及其与非零外部位密度之间的数学关系．由此证明对应于给定外部位的场源函数可以分解成零外部位密度与调和密度的直和．通过对其物理意义的讨论，为地球物理反演非零外部位场源及物理大地测量学构制等效场源提供理论依据．     

利用正交多项式对三维地震资料拟合算法的研究

目前在地震勘探中经常采用的拟合方法多是二维的,本文利用正交多项式的性质以及地震资料的相干性对地震资料进行三维拟合.该方法充分利用了三维地震资料,提高了处理效率.     

1911年红海湾6级地震前珠江三角洲及其邻区的区域构造应力场

本文包括：（１）通过拟合区内断层错动方式确定区域边界上作用的远场构造应力；（２）根据发震前震中所在断层段要进入塑性状态，确定１９１１年红海湾地震前区内构造应力场．两个应力场均采用正交设计法与弹塑性有限元方法快捷地得到．结果表明：该区远场最大主压应力σ３的方向为Ｎ６８°Ｗ，σ３＝－２００ＭＰａ，最小主压应力σ１＝－８０ＭＰａ；算得的红海湾地震前区内应力场的特点是除滨海断裂的红海湾段已进入屈服状态外，其余断裂均处于弹性状态．     

Simulation of normal distributed smooth fields by Karhunen-Loéve expansion in combination with kriging

Simulation of multigaussian stochastic fields can be made after a Karhunen-Loéve expansion of a given covariance function. This method is also called simulation by Empirical Orthogonal Functions. The simulations are made by drawing stochastic coefficients from a random generator. These numbers are multiplied with eigenfunctions and eigenvalues derived from the predefined covariance model. The number of eigenfunctions necessary to reproduce the stochastic process within a predefined variance error, turns out to be a cardinal question. Some ordinary analytical covariance functions are used to evaluate how quickly the series of eigenfunctions can be truncated. This analysis demonstrates extremely quick convergence to 99.5% of total variance for the 2nd order exponential (‘gaussian’) covariance function, while the opposite is true for the 1st order exponential covariance function. Due to these convergence characteristics, the Karhunen-Loéve method is most suitable for simulating smooth fields with ‘gaussian’ shaped covariance functions. Practical applications of Karhunen-Loéve simulations can be improved by spatial interpolation of the eigenfunctions. In this paper, we suggest interpolation by kriging and limits for reproduction of the predefined covariance functions are evaluated.     

Application of Proper Orthogonal Decomposition (POD) to inverse problems in saturated groundwater flow

We develop a new Proper Orthogonal Decomposition (POD) reduced order model for saturated groundwater flow, and apply that model to an inverse problem for the hydraulic conductivity field. We use sensitivities as the POD basis. We compare the output when the optimizer uses the reduced order model against results obtained with a full PDE based model. The solutions generated using the POD reduced model are comparable in residual norm to the solutions formed using only the full-scale model. The material parameters are similarly comparable. The time to solution when using the reduced model is reduced by at least an order of magnitude, as are the number of calls to the full model.     

Adsorption of Complex Pollutants from Aqueous Solutions by Nanocomposite Materials

In view of water pollutants becoming more complex, both anionic and cationic pollutants need to be removed. The multi‐pollutants simultaneous removal is paid more and more attention. Hence, development composite materials for treatment complex wastewater are the aim of this study. In this research, iron–nickel nanoparticles deposited onto aluminum oxide (α‐Al₂O₃) and carbon nanotubes (CNTs) to form nanocomposite materials Fe–Ni/Al₂O₃ and Fe–Ni/CNTs, respectively, were used as adsorbents. The adsorption capacities of Fe–Ni/Al₂O₃ and Fe–Ni/CNTs for AO7, HSeO, and Pb²⁺ were observed to be 5.46, 8.28, 27.02, and 25.6 mg/g, 15.29 and 17.12 mg/g, separately. The composite materials with negative charges were superior in adsorption of anionic pollutants. Using orthogonal experimental design and analysis of variance to co‐treat dye AO7, HSeO and Pb²⁺ in aqueous solutions, seven testing factors were included: (1) adsorbent types, (2) amount of iron, (3) solution pHs, (4) AO7 concentrations, (5) Pb²⁺ concentrations, (6) HSeO concentrations and (7) reaction time. The experimental results showed that the removal of complex pollutants AO7, HSeO, and Pb²⁺ on Fe–Ni/CNTs could reach up to 90% in the optimal treatment conditions. When using Fe–Ni/CNTs as the adsorbent, the sorption isothermals were well fitted in the Freundlich isotherm, and R² could reach up to 0.98.     

信号的瞬时参数与正交小波基

对于可表成ｕ（ｔ）＝ａ（ｔ）ｃｏｓθ（ｔ）的信号,称ａ（ｔ）为其瞬时振幅,θ（ｔ）为瞬时位相,为瞬时频率．在许多实际问题中,瞬时振幅、位相、频率等瞬时参数的提取有重要意义．但已知的一些瞬时参数计算方法均各有其局限性．本文构造了一种频谱支集紧且有解析表达式的小波,利用它得到一种计算信号瞬时参数的能抗噪声干扰的快速、局部算法．理论分析和数值模拟的结果表明,该方法是实用而有效的,可望能满足许多实际问题的需要．     

1911年红海湾6级地震前珠江三角洲及其邻区的区域构造应力场

本文包括：（１）通过拟合区内断层错动方式确定区域边界上作用的远场构造应力;（２）根据发震前震中所在断层段要进入塑性状态,确定１９１１年红海湾地震前区内构造应力场．两个应力场均采用正交设计法与弹塑性有限元方法快捷地得到．结果表明：该区远场最大主压应力σ３的方向为Ｎ６８°Ｗ,σ３＝－２００ＭＰａ,最小主压应力σ１＝－８０ＭＰａ;算得的红海湾地震前区内应力场的特点是除滨海断裂的红海湾段已进入屈服状态外,其余断裂均处于弹性状态．     

OFDM基带处理系统的设计与实现

阐述了适合高速无线数据传输的正交频分复用(OFDM)调制方式的基本原理及调制解调的快速傅立叶变换(FFT)实现,并给出OFDM基带处理系统的结构图和硬件模块框图。     

EOF analysis of a time series with application to tsunami detection

Fragments of deep-ocean tidal records up to 3 days long belong to the same functional sub-space, regardless of the record’s origin. The tidal sub-space basis can be derived via Empirical Orthogonal Function (EOF) analysis of a tidal record of a single buoy. Decomposition of a tsunami buoy record in a functional space of tidal EOFs presents an efficient tool for a short-term tidal forecast, as well as for an accurate tidal removal needed for early tsunami detection and quantification [Tolkova, E., 2009. Principal component analysis of tsunami buoy record: tide prediction and removal. Dyn. Atmos. Oceans 46 (1–4), 62–82] EOF analysis of a time series, however, assumes that the time series represents a stationary (in the weak sense) process. In the present work, a modification of one-dimensional EOF formalism not restricted to stationary processes is introduced. With this modification, the EOF-based de-tiding/forecasting technique can be interpreted in terms of a signal passage through a filter bank, which is unique for the sub-space spanned by the EOFs. This interpretation helps to identify a harmonic content of a continuous process whose fragments are decomposed by given EOFs. In particular, seven EOFs and a constant function are proved to decompose 1-day-long tidal fragments at any location. Filtering by projection into a reduced sub-space of the above EOFs is capable of isolating a tsunami wave within a few millimeter accuracy from the first minutes of the tsunami appearance on a tsunami buoy record, and is reliable in the presence of data gaps. EOFs with ∼$\sim$3-day duration (a reciprocal of either tidal band width) allow short-term (24.75 h in advance) tidal predictions using the inherent structure of a tidal signal. The predictions do not require any a priori knowledge of tidal processes at a particular location, except for recent 49.5 h long recordings at the location.