云南曲靖井水位潮汐动态特征分析

以井-含水层系统潮汐理论为基础, 结合云南曲靖井水位观测资料实际情况, 利用Baytap-G提供的潮汐分析方法, 分别计算了曲靖井水位M2、 S2、 O1、 S1K1和M3共5个潮汐分波的振幅比、 相位和计算误差, 分析了井水位观测资料不同潮汐波振幅比和相位的动态变化特征, 认为能反映含水层参数的井水位潮汐振幅比和相位变化与附近的抽水和远距离大震引起的同震响应有关, 具体表现为, 2001年11月和2003年8月的振幅比和相位下降变化可能与抽水有关, 而几次大震后的井水位潮汐振幅比和相位小幅度上升和缓慢恢复过程, 则可能与中远场大震的地震波动力引起的含水层渗透系数增加有关．      

Use of Groundwater Level Fluctuations near an Operating Water Supply Well to Estimate Aquifer Transmissivity

We developed a method to estimate aquifer transmissivity from the hydraulic-head data associated with the normal cyclic operation of a water supply well thus avoiding the need for interrupting the water supply associated with a traditional aquifer test. The method is based on an analytical solution that relates the aquifer's transmissivity to the standard deviation of the hydraulic-head fluctuations in one or more observation wells that are due to the periodic pumping of the production well. We analyzed the resulting analytical solution and demonstrated that when the observation wells are located near the pumping well, the solution has a simple, Dupuit like form. Numerical analysis demonstrates that the analytical solution can also be used for a quasi-periodic pumping of the supply well. Simulation of cyclic pumping in a statistically heterogeneous medium confirms that the method is suitable for analyzing the transmissivity of weakly or moderately heterogeneous aquifers. If only one observation well is available, and the shift in the phase of hydraulic-head oscillations between the pumping well and the observation well is not identifiable. Prior knowledge of aquifer's hydraulic diffusivity is required to obtain the value of the aquifer transmissivity.     

<Emphasis Type="Italic">M</Emphasis>9 Tohoku Earthquake Hydro- and Seismic Response in the Caucasus and North Turkey

Presently, there are a lot of observations on the significant impact of strong remote earthquakes on underground water and local seismicity. Teleseismic wave trains of strong earthquakes give rise to several hydraulic effects in boreholes, namely permanent water level changes and water level oscillations, which closely mimic the seismograms (hydro-seismograms). Clear identical anomalies in the deep borehole water levels have been observed on a large part of the territory of Georgia during passing of the S and Love–Rayleigh teleseismic waves (including also multiple surface Rayleigh waves) of the 2011 Tohoku M9 earthquake. The analysis carried out in order to find dynamically triggered events (non-volcanic tremors) of the Tohoku earthquake by the accepted methodology has not revealed a clear tremor signature in the test area: the Caucasus and North Turkey. The possible mechanisms of some seismic signals of unknown origin observed during passage of teleseismic waves of Tohoku earthquake are discussed.     

Spreadsheet Modeling of Slug Tests Using the van der Kamp Method

Slug testing is frequently employed to calculate aquifer transmissivity and hydraulic conductivity. The van der Kamp technique for interpreting slug test data which experience force-free water level oscillations is not routinely employed because it requires adjusting equations to match the observed well response data. This adjustment can be rapid and convenient when a commercial spreadsheet is employed.     

Characteristics of coseismic water level changes at Tangshan well for the Wenchuan MS8.0 earthquake and its larger aftershocks

Coseismic water level changes which may have been induced by the Wenchuan M_S8.0 earthquake and its 15 larger aftershocks (M_S≥?5.4) have been observed at Tangshan well. We analyze the correlation between coseismic parameters (maximum amplitude, duration, coseismic step and the time when the coseismic reach its maximum amplitude) and earthquake parameters (magnitude, well-epicenter distance and depth), and then compare the time when the coseismic oscillation reaches its maximum amplitude with the seismogram from Douhe seismic station which is about 16.3 km away from Tangshan well. The analysis indicates that magnitude is the main factor influencing the induced coseismic water level changes, and that the well-epicenter distance and depth have less influence. M_S magnitude has the strongest correlation with the coseismic water level changes comparing to M_W and M_L magnitudes. There exists strong correlation between the maximum amplitude, step size and the oscillation duration. The water level oscillation and step are both caused by dynamic strain sourcing from seismic waves. Most of the times when the oscillations reach their maximum amplitudes are between S and Rayleigh waves. The coseismic water level changes are due to the co-effect of seismic waves and hydro-geological environments.     

A Model to Simulate Pumping Tests in Wells with High Loss and Backflow

Traditional methods of analyzing pumping tests in single wells fail when the well loss is very high due to a low transmissivity skin. Because of the restricted rate at which water can enter a high loss well from the aquifer, well casing storage becomes a significant factor. Additionally, if a slug of water enters the well from the pump column immediately after the pump is switched off, it has a long‐lasting significant effect on the recovering water level in the well because it cannot be absorbed rapidly by the aquifer. A theoretical model is derived here that simulates the water level in a well in these circumstances. In the model, the continuously changing rate of water inflow from the aquifer to the well is approximated by a step function with a finite difference time step. It is demonstrated by a real example that the model can be applied easily to analyze pumping tests, including tests with a varying pumping rate. The analysis confirms suspected high well loss, calculates the unknown rate of backflow, and determines the aquifer's transmissivity.     

Test of frequency characteristic for well and its response to seismic waves

The permeation parameters have been calculated by forefathers on the basis of permeation theory by means of the Slug test (Yin, Zheng, 1992) and the restoration curves of well level. We are interested in oscillation of the well level when we make Slug test. Both the permeation parameters and frequency parameters, i.e., natural period and damping coefficients of well aquifer, have been calculated on the basis of vibration theory by means of the oscillation curves. Not only this has given a new method, but also the different response of well level to seismic waves has been explained by it in theory.     

深井水位对地震波、固体潮和气压的水力响应—以范县井为例

以河南范县井为例,利用不同的水力响应模型分析了井水位对地震波、固体潮和气压的响应特征,并基于相关水力响应模型反演估算了含水层的水力参数。结果显示:在高频加载作用过程中,井-含水层系统中的水流模式以水平向为主,而在低频加载作用过程中,则为水平向和垂直向共存的混合模式;利用周期为10—102 s的高频段的地震波响应模型估算的含水层导水系数值较大,为7.20×10?3 m2/s,利用周期为3.75×104 s的低频段的固体潮响应模型估算的含水层导水系数值较小,为2.02×10?6 m2/s,而利用周期为102—104 s的中等频率段的气压响应模型得到的估算值介于二者之间,为3.44×10?5 m2/s。由此分析认为,在周期性加载作用过程中,井-含水层系统内的水流模式与加载频率有关,基于不同水力响应模型反演估算的含水层水力参数存在尺度效应。本研究取得的认识,既可为井水位动态响应的机理解释提供理论基础,也可为目标含水层水力参数的原位测量提供技术支撑。      

Anisotropy in the Ironton and Galesville Sandstones Near a Thermal-Energy-Storage Well, St. Paul, Minnesota

The U.S. Geological Survey is studying the potential for storage of heated water in a sandstone aquifer in St. Paul, Minnesota. The efficiency of the aquifer to store thermal energy is related, in part, to the hydrogeologic characteristics of the aquifer. The movement of heat away from the injection well is directly related to the anisotropy. Aquifer tests were conducted to determine the anisotropy near the heated-water injection well. The maximum and minimum values of transmissivity along the principal directions of the hydraulic conductivity tensors of the Ironton and Galesville Sandstones in St. Paul, Minnesota are approximately 1,090 and 480 feet squared per day. The storage coefficient is 4.5 × 10⁻⁵. These values represent the average of four determinations of nonsteady flow to a well in an idealized infinite anisotropic aquifer. Analysis of the values of transmissivity and storage coefficient for hypothetical changes in location of two of the monitoring wells where depth-deviation surveys were not available indicates that computed transmissivities vary less than 5 percent and storage coefficients vary less than ±6 percent.     

On the admissible range for the mass and inertia moments of the liquid core: I. Solving the inverse problem of nutations and free oscillations of the Earth by decomposition of mechanical parameters in an orthogonalized basis

The results of solving the inverse problem of forced nutations and free oscillations of the Earth by decomposing the Q-factor and small depth variations in density in a system of orthogonal functions are considered. These functions are determined by orthogonalization of the functional derivatives of the observed parameters with respect to the depth distributions of the sought parameters (assuming there are no distributions of the velocities of body seismic waves V _p and V _S with depth and unchanged total mass M and inertia moments I of the Earth). The examples are presented to illustrate the numerical solution of the inverse problem on finding the density distributions in the mantle and core of the Earth using orthogonalization of the integral constraints for the probable depth distributions of density describing the conditions of unchanged M and I, as well as the constraints posed by the data on the periods of the free low-order oscillations of the Earth.     

Characterization of aquifers in the Vientiane Basin,Laos, using Magnetic Resonance Sounding and Vertical Electrical Sounding

The aim of this study is to define and characterize water bearing geological formation and to test the possibility of using geophysical techniques to determine the hydrogeological parameters in three areas in the Vientiane basin, Laos. The investigated areas are part of the Khorat Plateau where halite is naturally occurring at depths as shallow as 50 m in the Thangon Formation. Magnetic Resonance Sounding (MRS) has been used in combination with Vertical Electrical Sounding (VES) in different geological environments. In total, 46 sites have been investigated and the MRS and VES recognized the stratigraphic unit N₂Q_1–3, consisting of alluvial unconsolidated sediments, as the main water bearing unit. The aquifer thickness varies usually between 10 and 40 m and the depth to the main aquifer range from 5 to 15 m. The free water content is here up to 30%, and the decay times vary between 100 and 400 ms, suggesting a mean pore size equivalent to fine sand to gravel. The resistivity is highly variable, but usually around 10–1500 Ω-m, except for some sites in areas 1 and 2, where the aquifer is of low resistivity, probably related to salt water. Hydraulic and storage-related parameters such as transmissivity, hydraulic column, have been estimated from the MRS. The MRS together with VES has been shown to be a useful and important tool for identifying and distinguishing freshwater from possible salt-affected water as well as the salt-related clay layer of the Thangon Formation. This clay layer is characterized by very low free water content and a resistivity lower than 5 Ω-m and can be found in all 3 areas at depths from 15 to 50 m.     

A novel analytical solution for a slug test conducted in a well with a finite-thickness skin

An aquifer containing a skin zone is considered as a two-zone system. A mathematical model describing the head distribution is presented for a slug test performed in a two-zone confined aquifer system. A closed-form solution for the model is derived by Laplace transforms and Bromwich integral. This new solution is used to investigate the effects of skin type, skin thickness, and the contrast of skin transmissivity to formation transmissivity on the distributions of dimensionless hydraulic head. The results indicate that the effect of skin type is marked if the slug-test data is obtained from a radial two-zone aquifer system. The dimensionless well water level increases with the dimensionless positive skin thickness and decreases as the dimensionless negative skin thickness increases. In addition, the distribution of dimensionless well water level due to the slug test depends on the hydraulic properties of both the wellbore skin and formation zones.     

华蓥山地区4口井水位潮汐动态特征研究

本文选择沿华蓥山断裂带分布的荣昌等4口观测井,利用Baytap-G潮汐分析方法,计算各井水位和气压及理论固体潮的潮汐振幅谱,比较其潮汐频谱差异,通过对主要潮汐分波振幅的回归计算定量分析各井水位受气压潮和固体潮影响的大小。基于对井水位正常动态的认识,选择各井水位潮汐的主要分波,对井水位长时序数据进行分析计算,提取水位潮汐响应特征参数(振幅比和相位差),进而探讨特征参数动态变化特征。最后对井水位受气压潮和固体潮影响的差异原因进行了初步探讨。结果表明,荣昌井水位主要受气压作用的影响,北碚、大足、南溪三口井水位受固体潮-气压潮综合作用的影响,而荣昌井水位只受气压潮影响可能与该井所处含水层裂隙发育且该井未下设止水套管有关;荣昌井P_1S_1K_1波和南溪井M_2波振幅比和相位差在几次大震后没有明显变化,说明地震波没有使井孔与含水层之间的水流交换发生显著变化,而北碚井和大足井M_2波振幅比和相位差分别在汶川和芦山地震时发生变化,反映了地震波的疏通影响。     

2011年日本Mw9.0地震引起的环渤海地区井水温度变化分析

2011年3月11日的日本M_w9.0地震在中国引起了大范围的井水温度同震变化,而水温震后持续变化的井孔多数分布在井网密度较大、距震中较近的环渤海地区。本文分析了环渤海地区水温震后变化的特征和机理。结果表明,水温震后变化形态为上升,变幅0. 005~0.976°C,空间分布在同震位移较大、张性应变较明显和地震能量密度较大的区域;依据同井水位资料,一些井孔的水温和水位震后变化特征较一致,其水温震后升高可能是地震波增大含水层渗透性的结果;另一些井孔的水位震后变化不显著,其水温震后升高可能与地震波增大井区大地热流有关。     

井水位随气压变化之解析解

气压作用下, 井-含水层系统中地下水流是一类流体力学问题。 本文应用井壁水流通量边界条件和气压作用下井壁内外水(孔)压平衡条件, 提出了一个井水位随气压变化的解析公式。 解析式表明, 气压系数随时段长度增加而增大, 并趋于气压常数; 气压系数随时段长度的变化只依赖于导水系数与井半径平方的比值(T/r²_w), 而与气压变化过程无关; 气压常数只与含水层的一维荷载效率(B)有关, 而与导水系数和井半径无关。 解析解所反映的气压系数与时段长度的关系, 与南溪井实测序列数据分析结果具有很好的一致性。 根据气压系数随时段长度变化过程, 提出了一个参数估计方法, 应用于估计南溪井含水层气压常数和导水系数, 并对本文提出的参数估计方法进行了讨论。     

The density and Q-factor models based on the new data on the nutations and overtones of the free oscillations of the earth: 1. The analysis of the new GSN data for the Sumatra,Tohoku, and Okhotsk earthquakes

We discuss the problem of the ambiguity of gravity inversion, i.e., finding the depth distribution of density and the depth and frequency dependences of the Q-factor from the entire set of the present-day seismic and astrometric data on the travel times of seismic waves, the periods and attenuation factors of the free oscillations of the Earth, as well as the amplitudes and phases of the forced nutations. In the first part of the paper, we present the new and more accurate determinations of the periods and Q-factors for the fundamental tones and overtones of the spheroidal and toroidal oscillations of the Earth, which have periods longer than 3 min. These determinations are based on analyzing the signals from the Sumatra, Tohoku, and Okhotsk earthquakes of magnitude 9, which were recorded by the stations of the Global Seismographic Network (GSN) in Obninsk and Kazakhstan. It is shown that, although the Okhotsk earthquake had a lower magnitude than the other quakes analyzed (since its seismic source was extremely deep (about 600 km)), the amplitudes of the overtones excited by this event are significantly higher than the amplitudes of the overtones caused by the Sumatra and Tohoku events of magnitude 9. Moreover, the amplitudes of the overtones from the Okhotsk earthquake exceed the amplitudes of the overtones of the free oscillations caused by the other seismic events of magnitude 9 that occurred in the second half of the 20th century. Due to this, the data on the Okhotsk Sea earthquake are of utmost importance for the solution of the inverse problems of reconstructing the vertical profiles of Q-factor in the ultra-low frequency (ULF) range and for reconstructing the vertical distribution of density. Based on the new empirical data, we obtained new and more accurate estimates for the periods and attenuation factors of the free oscillations of the Earth.     

Estimating Aquifer Properties Using Derivative Analysis of Water Level Time Series from Active Well Fields

Water level time series from groundwater production wells offer a transient dataset that can be used to estimate aquifer properties in areas with active groundwater development. This article describes a new parameter estimation method to infer aquifer properties from such datasets. Specifically, the method analyzes long‐term water level measurements from multiple, interacting groundwater production wells and relies on temporal water level derivatives to estimate the aquifer transmissivity and storativity. Analytically modeled derivatives are compared to derivatives calculated directly from the observed water level data; an optimization technique is used to identify best‐fitting transmissivity and storativity values that minimize the difference between modeled and observed derivatives. We demonstrate how the consideration of derivative (slope) behavior eliminates uncertainty associated with static water levels and well‐loss coefficients, enabling effective use of water level data from groundwater production wells. The method is applied to time‐series data collected over a period of 6 years from a municipal well field operating in the Denver Basin, Colorado (USA). The estimated aquifer properties are shown to be consistent with previously published values. The parameter estimation method is further tested using synthetic water level time series generated with a numerical model that incorporates the style of heterogeneity that occurs in the Denver Basin sandstone aquifers.     

新10井水位对九寨沟M_S7.0、精河M_S6.6地震同震响应

基于新10井水位对九寨沟M_S7.0、精河M_S6.6地震的同震响应特征,分别利用水震波和潮汐分析法,反演得到了新10井水位在地震波作用期间和地震波作用前后含水层参数特征,探讨了2次地震引起的新10井同震响应变化机理。结果表明,新10井水位对九寨沟地震和精河地震具有不同的同震响应形态,利用水平流模型反演所得的新10井含水层渗透系数,在九寨沟地震时为61m/d,而在精河地震时为147m/d,表明地震波作用导致水平向的渗透性增强;利用垂向流模型反演得到的新10井含水层渗透系数,在2次地震之前约为49×10~(-5)m/d,而在地震之后约为18×10~(-5)m/d,表明地震波作用导致垂直向的渗透性减弱。因此,新10井水位的同震响应变化与地震波引起的含水层渗透率的改变有关。     

新疆阿克陶MS6.7地震引起的新10井水位同震响应研究

本文根据新10井数字化高频采样水位仪记录到的2016年11月25日新疆阿克陶M_S6.7地震所引起的水震波,对比分析了该井水位与地表垂向运动的相关性特征,并对二者与井-含水层系统水文参数的关系进行了深入探讨.分析结果显示:①与地震波信号相似,新疆阿克陶M_S6.7地震引起的新10井水震波存在两个显著的周期,即6—10 s和15—30 s;②新10井水震波响应幅度与地表垂向运动幅度整体呈正相关,且在高频阶段(频率大于0.08 Hz)二者的振幅比随着频率的减小而增大,表明该井水位对周期大于12 s的信号放大效能较高;③利用水震波与地震波的振幅比估算新10井观测含水层渗透系数的量级为10-2 cm/s,且在地震波作用过程中含水层的水文参数也存在波动.本研究表明,井水位的同震响应机理较为复杂,在分析水位同震响应特征时,高采样率的水位数据是获得可靠结果与认识的基础.      

The density and Q-factor models based on the new data on the nutations and overtones of the free oscillations of the earth: 2. The results of the numerical modeling of the solution of the inverse problem

In the first part of the paper, we obtained the refined estimates for the periods and Q-factors of the fundamental modes and overtones of spherical and toroidal oscillations with periods longer than 3 min from the data on the free oscillations of the Earth, which were excited by the earthquakes with magnitude 9 that occurred in Sumatra, Japan, and the Sea of Okhotsk. In (Molodenskii et al., 2013), we analyzed the limits of the admissible density distributions in the mantle and liquid core of the Earth, using the data on the amplitudes and phases of the forced nutations, as well as the periods and attenuation factors of the fundamental modes of the free spheroidal and toroidal oscillations of the Earth. These studies were conducted with the fixed values of the total mass and total moment of inertia of the Earth and the fixed distributions of the body seismic waves in the mantle and in the core. The solution was obtained by orthogonalizing the kernels of the integral equations that link the residuals of the observed frequencies and attenuation factors of the free oscillations, as well as the amplitudes and phases of the forced nutations, with the sought densities and Q-factors of the mantle and liquid core. Below, we present the solution of the same problem with allowance for the results obtained in the first part of this paper, namely, the new data on the periods and attenuation factors of the fundamental modes of free oscillations of the Earth and on the periods of the first four overtones of the free spheroidal and toroidal oscillations. Despite the involvement of the new data on the overtones, which have not been considered in our calculations, the weighted root mean square deviations of the theoretical predictions from the observed periods and attenuation factors of the free oscillations, as well as the amplitudes and phases of the forced nutations, have significantly decreased. This is due to (1) the noticeable reduction of the real errors in estimating the parameters of the free oscillations described in the first part of the paper and (2) the inclusion of the quantities determining the depth- and frequency dependences of the Q-factor in the mantle in the set of the independently varied parameters.