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煤层陷落柱是煤田勘探开发中常见的一种典型的非均匀地质体.由于来自陷落柱的反射信号少、反射能量弱,使得基于反射波原理的常规地震成像方法难以有效识别陷落柱.本文以散射波理论为基础,采用数值模拟方法,研究了陷落柱的散射波场特征,研究表明地面接收的波场中含有来自陷落柱陡倾角界面的散射波场.通过共散射点道集波场的模拟,可以清晰地识别散射波,获得地下散射点和非均匀地质体的信息,判断散射点的位置,从而勾画出不均匀地质体的形态.采用等效偏移距假设抽取共散射点道集,在此基础上进行叠前偏移,对陷落柱成像;模拟与实际数据成像结果对比表明此方法能够合理地提取散射点的散射波场信息,对陷落柱形态及内部结构准确成像,是一种有效的煤田陷落柱成像方法. 相似文献
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华北型煤田采场底板隐伏强导(含)水岩溶陷落柱突水以其隐蔽性强,突水速度快,水量大,破坏性强,危害严重的特点已成为影响煤矿安全生产的重大隐患.但是,受奥陶系灰岩承压水和采动应力耦合作用下的岩溶陷落柱突水机理、突水过程和突水力学规律的研究尚不够系统和完善.本文以陷落柱上覆岩层层状介质假设和剪切破坏理论方法为出发点,建立了不同水平截面形状类型的强导(含)水岩溶陷落柱突水力学模型,并确立了奥灰承压水与采动应力共同作用诱发强导(含)水陷落柱突水的临界条件,并提出了突水危险性系数对陷落柱突水危险性进行定性和定量的评价.理论推导和数值分析表明,奥灰承压水和采动应力耦合作用下的强导(含)水陷落柱突水与其水平截面形状、隔水层厚度、岩石物理性质有关.当采场环境确定后,陷落柱水平截面形状则是决定其突水的关键因素,而且陷落柱水平截面形状是圆形时最容易发生突水. 相似文献
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研究了双极柱坐标系下的拉普拉斯方程.由于三维拉普拉斯方程在该坐标系下不能分离变量,因此着重研究了二维情况,其中重要的一点是推导证明了双极积分,并由该积分将均匀静电场和线电极源的一次场展开为傅里叶级数.在此基础上,又分别研究了均匀静电场下全空间和半空间情况下柱体问题以及线电极源下半空间情况下的柱体问题,给出了双极积分的数值验证以及各种情况下柱体问题的等值线图,结果表明,所用理论和方法以及求解结果都是正确的. 相似文献
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中心回线装置是瞬变电磁勘探中最常用的装置之一.中心回线装置的视电阻率一般从回线中心点场的公式出发导出.在现场实际施工中,为提高工作效率,把发射回线中部三分之一的区域作为观测范围.通过对场分布特征的分析研究表明,与中心点相比,观测区边缘处的感应电动势数值偏离达15%~25%,这与广泛存在于华北型煤系中赋存深度为400~1000 m的陷落柱、导水小断层等引起的异常相比,已经不可忽略.大定源回线公式可以准确地表示任意场点的感应电动势,由此导出视电阻率无边缘效应影响;观测按照中心回线方式并保持在近区进行,可使感应电动势和视电阻率之间的转换简单而直接.理论和实际应用结果表明,这些措施进一步提高了瞬变电磁探测中心回线方法的探测精度.在有上覆低阻屏蔽层的情况下,对埋深500~700 m的陷落柱给出了明显的异常反映,并被井下掘进所验证. 相似文献
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陷落柱是危害煤矿安全生产的主要因素之一,如何有效探测陷落柱是实现煤矿安全、高效生产的当务之急.本文首次将微动勘察方法应用于煤矿采区勘探,结果表明,该方法对陷落柱异常区反映敏感.在山西潞安漳村煤矿2002工作面测区已知陷落柱上,无论是单点反演获得的S波速度结构,还是微动视S波速度剖面,均能清晰显示陷落柱.微动剖面确定的陷落柱位置与巷道揭露位置一致,边界误差在10 m左右.微动勘察方法是探测陷落柱的一种行之有效的物探方法,由于其分辨率高、无需人工源、野外施工方法灵活便捷、不受施工场地限制等特点,对探测村庄覆盖区之下的煤层构造、圈定陷落柱等,具有得天独厚的技术优势和应用前景. 相似文献
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George A. Keramidas 《Advances in water resources》1981,4(4):165-173
The development of a displacement finite element formulation and its application to convective transport problems is presented. The formulation is based on the introduction of a generalized quantity defined as transport displacement. The governing equation is expressed in terms of this quantity and by using generalized coordinates a variational form of the governing equation is obtained. This equation may be solved by any numerical method, though it is of particular interest for application of the finite element method. Two finite element models are derived for the solution of convection-diffusion boundary value problems. The performance of the two element models is discussed and numerical results are given for different cases of convection and diffusion with two types of boundary conditions. The numerical results obtained show not only the efficiency of the numerical models in handling pure convection, pure diffusion and mixed convection-diffusion problems, but also good stability and accuracy. The applications of the developed numerical models are not limited to diffusion-convection problems but can also be applied to other types of problems such as mass transfer, hydrodynamics and wave propagation. 相似文献
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Based on the convection and diffusion mechanisms of radon migration, in this paper we deduce the two-dimensional differential equation for radon transportation in the overburden above active fault zones with an unlimited extension along the strike. Making use of the finite difference method, the radon concentration distribution in the overburden above active faults is calculated and modeled. The active fault zone parameters, such as the depth and the width of the fault zone, and the value of radon concentration, can be inverted from the measured radon concentration curve. These realize quantitative interpretation for radon concentration anomalies. The inversion results are in good agreement with the actual fault zone parameters. 相似文献
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E. M. Dmitriev 《Izvestiya Physics of the Solid Earth》2018,54(5):775-781
Radon-222 is inert radioactive gas with a half-life period of 3.8 days, it is a decay product of radium-226. Being escaped from minerals and underground waters into pore space of rocks and soil, it is transported to the surface by diffusion and advection and gone to the atmosphere. When modeling processes of atmosphere radon transport one sets value of radon flux from the surface, depending on contents of radium-226 in rocks and conditions of radon transport in soil, especially on soil porosity and humidity. The impact of radon turbulent transport in the atmospheric boundary layer (ABL) on radon flux density from the surface is estimated in this paper. It is shown that both for stationary state and for typical diurnal variations of the radon volumetric activity (VA) in the ABL, the correction to the radon flux density caused by its turbulent transport in the ABL is negligible (less than 1%) and doesn’t exceed measurement errors. Thus, when calculating radon VA in the ABL it is really possible to set an average value of the radon flux density on the surface as a boundary condition. 相似文献
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《Advances in water resources》2005,28(11):1254-1266
A detailed model was formulated to describe the non-isothermal transport of water in the unsaturated soil zone. The model consists of the coupled equations of mass conservation for the liquid phase, gas phase and water vapor and the energy conservation equation. The water transport mechanisms considered are convection in the liquid phase, and convection, diffusion and dispersion of vapor in the gas phase. The boundary conditions at the soil–atmosphere interface include dynamical mass flux and energy flux that accounts for radiation transport. Comparison of numerical simulations results with published experimental data demonstrated that the present model is able to describe water and energy transport dynamics, including situations of low and moderate soil moisture contents. Analysis of field studies on soil drying suggests that that dispersion flux of the water vapor near the soil surface, which is seldom considered in soil drying models, can make a significant contribution to the total water flux. 相似文献
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A convection-diffusion equation arises from the conservation equations in miscible and immiscible flooding, thermal recovery, and water movement through desiccated soil. When the convection term dominates the diffusion term, the equations are very difficult to solve numerically. Owing to the hyperbolic character assumed for dominating convection, inaccurate, oscillating solutions result. A new solution technique minimizes the oscillations. The differential equation is transformed into a moving coordinate system which eliminates the convection term but makes the boundary location change in time. We illustrate the new method on two one-dimensional problems: the linear convection-diffusion equation and a non-linear diffusion type equation governing water movement through desiccated soil. Transforming the linear convection diffusion equation into a moving coordinate system gives a diffusion equation with time dependent boundary conditions. We apply orthogonal collocation on finite elements with a Crank-Nicholson time discretization. Comparisons are made to schemes using fixed coordinate systems. The equation describing movement of water in dry soil is a highly non-linear diffusion-type equation with coefficients varying over six orders of magnitude. We solve the equation in a coordinate system moving with a time-dependent velocity, which is determined by the location of the largest gradient of the solution. The finite difference technique with a variable grid size is applied, and a modified Crank-Nicholson technique is used for the temporal discretization. Comparisons are made to an exact solution obtained by similarity transformation, and with an ordinary finite difference scheme on a fixed coordinate system. 相似文献
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B. J. Travis C. Anderson J. Baumgardner C. W. Gable B. H. Hager R. J. O'Connell 《地球物理与天体物理流体动力学》2013,107(3-4):137-160
Abstract A comparison is made between seven different numerical methods for calculating two-dimensional thermal convection in an infinite Prandtl number fluid. Among the seven methods are finite difference and finite element techniques that have been used to model thermal convection in the Earth's mantle. We evaluate the performance of each method using a suite of four benchmark problems, ranging from steady-state convection to intrinsically time-dependent convection with recurring thermal boundary layer instabilities. These results can be used to determine the accuracy of other computational methods, and to assist in the development of new ones. 相似文献
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Summary The process of radon diffusion in space and time through rocks is treated in detail from the point of view of radiometric prospecting for oil. Taking into account the depth and diffusivity conditions encountered in nature it is stated that vertical radon diffusion reaching from the oil deposits up to the surface cannot be expected. Time intervals as required for setting in of a stationary concentration state and decay conditions of the radon lead to the conclusion that the penetration of emanometric measurements seldom exceeds the depth of 5–10 m. 相似文献
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M. V. Abakumov V. M. Chechetkin S. L. Shalimov 《Izvestiya Physics of the Solid Earth》2018,54(3):466-473
The flow structure induced by thermal convection in a rotating spherical shell with viscous boundary conditions is considered under the assumption that the differential rotation of the core relative to the mantle is absent. The radial, azimuthal, and meridional components of the flow’s velocity and helicity are studied. With the magnetic field assumed to be frozen into a liquid (frozen-flux hypothesis), it is shown that the numerical results fit the observations of the geomagnetic field variations close to the pole. 相似文献