共查询到20条相似文献，搜索用时 171 毫秒
1.
受各种地质作用的影响,实际油藏的外边界往往是复杂多样的.在实际油藏开采过程中,为避免边底水突进或考虑其它工程因素,存在生产井部分射孔的情形.受求解方法局限性的限制,目前经典渗流力学理论还无法精确求解复杂外边界油藏中生产井层部分射孔问题.这里利用边界元理论在求解复杂边界域扩散问题的优点,从渗流理论出发,建立了复杂外边界油藏部分射孔井渗流数学模型;并采用Lord Kelvin点源解、贝塞尔函数积分和泊松叠加公式等方法,求解了复杂外边界油藏部分射孔井的边界元基本解;利用边界元的理论,建立了复杂外边界油藏部分射孔井井底压力响应数学模型;通过计算,得到了无因次压力和压力导数双对数理论图版,并在其基础上分析了复杂外边界油藏部分射孔井渗流特征及其影响因素. 相似文献
2.
地下水的补排主要包括垂向的地面入渗补给、蒸发排泄（蒸发可视为入渗的负值）及侧向的地表水补给、排泄。水文地质学最基本的问题之一——地下水可持续开釆量的评价准则,涉及补给的增量与排泄的减量,因此地下水开采的预测模型必须包含上述两类的补给、排泄因素,否则不能满足要求。然而,经典的Theis不稳定井流模型,即使在傍河抽水,也只有侧边界的补给、排泄作用,而不涉及上边界的地面入渗补给。这样一来,这个解析模型基本上不能够用于预测,而只能在旱季用于井流试验求取含水系统的参数。为此,文章的目标是发展具地面入渗补给的Theis不稳定潜水井流模型。对于潜水流问题,不能再用承压水流的以水头为应变量的方程来建立,应采用第二类线性化方法的势函数来建立潜水流问题。对于既有降雨入渗补给,又有抽水井作用的复杂的水文地质问题所概化数学模型的求解,采取的方法是把它分解成若干个简单的子模型问题求解,然后将其合成为原来复杂数学模型的解。基于质量守恒原理,假定渗流服从Darcy定律并满足Dupuit徦定建立了水流基本微分方程。然后对于两平行河流及一河流平行一隔水边界形成的两类条形区域,具地面均匀稳定入渗补给的井流问题,获得通用水位方程和几类常见的特定条件水位方程及其流量方程。此外,提出并采用“边界对边界的反映法”用以求解一河流平行一隔水边界条形区域的同一问题,减少了许多推导过程。最后,作为上述理论成果的初步应用,也是一个重要的应用,即在河水水质不能满足要求的河流附近,设有一口抽水井,计算该抽水井在不汲取河水的前提下的临界流量方程,获得具重要意义的结构简洁的关系式。该方程也可以用于滨海区的抽水井,在不发生海水入侵前提下的临界抽水流量计算。给出了上述条件不稳定井流过程某时刻的地下水流网图,其流网与文献中常见的傍河井流的流网相比,具显明的特征。 相似文献
3.
在降雨入渗模拟中,现有研究无法准确实现复杂降雨条件下降雨边界在流量与压力两类边界之间的双向动态转换。基于饱和?非饱和渗流理论,将降雨补给流量与实际入渗流量的差值作为两类边界动态转换的判别条件,改进了单重渗透介质降雨边界动态转换控制方程,并进一步提出了双重渗透介质降雨边界处理方法及控制方程,在此基础上进行了数值试验及工程实例验证。结果表明：改进的降雨边界动态转换控制方程克服了传统降雨边界只能实现流量到压力边界单向转换的局限性,可准确实现流量边界与压力边界的双向动态实时转换;案例边坡的降雨入渗模拟结果说明了改进后降雨边界的正确性和工程适用性。 相似文献
4.
吴仕先 《水文地质工程地质》1980,(5)
一、引言 对承压渗流问题,一般说来,只要边界已知,就可以通过有限差分法或有限单元法求数值解。对于无压渗流问题或无压-承压渗流问题,在数学上是属于椭圆型方程(如果流体是不可压缩的)或抛物型方程(如果流体是可压缩的)的自由边值问题。对于自由 相似文献
5.
6.
7.
采用颗粒离散单元法进行动力计算时,人工截断边界上需设置吸收边界条件,以防止波的反射。鉴于颗粒离散单元数值计算模型的人工边界上颗粒单元半径大小不一、边界面凸凹不平,在连续介质的黏性、黏弹性、自由场边界条件方程基础之上,推导出适用于离散介质的等效方程。在离散介质的黏性边界条件等效方程中引入微调系数,提出比值迭代法以快速确定其最优值,以实现对波的最佳吸收。采用二维颗粒离散单元计算软件PFC2D,分别建立黏性、黏弹性、自由场边界条件相关数值分析模型,探讨颗粒分布模式对黏性边界上颗粒单元半径、速度分布及比值迭代过程的影响;采用外源波动算例及经典Lamb问题算例验证黏弹性边界设置方法的正确性;通过隧洞算例检验提出的自由场边界条件设置方法的正确性。 相似文献
8.
本文以二层介质中存在球体的模型为例，讨论了用边界元方法解决层状介质中存在三维不均匀体情况下点源场视电阻率的计算问题。文中通过对基本解的选取，避免了对水平界面的积分计算，并且在积分方程中消去了位的法向导数，使得积分方程的形式更为简单，也大大地减少了所需的边界剖分节点数和未知量的个数，节省了计算机内存，提高了计算精度。计算的结果表明，边界元法对本问题的研究是成功的。 相似文献
9.
研究不同渗流边界条件下粉砂边坡的稳定特性对滑坡安全评价及防灾减灾具有重要意义。开发研制了室内边坡模型试验系统,分别进行了在上部边界入渗、侧向边界入渗和底部边界入渗的边坡失稳模型试验。分析了各试验中边坡内部不同位置体积含水率、孔隙水压力和基质吸力的变化规律以及坡体破坏过程。结果表明,不同入渗边界条件下边坡土体局部由非饱和变为饱和状态,基质吸力消失,最后在坡面形成不稳定区域塌落破坏。上部边界入渗、侧向边界入渗和底部边界入渗所引起的破坏模式根据其特点可分为局部浅层破坏、多级后退式破坏和坡面滑动破坏。通过监测边坡不同位置的体积含水率,可以为渗流引发的边坡失稳预警机制提供参考依据。 相似文献
10.
11.
A high‐frequency open boundary for transient seepage analyses of semi‐infinite layers by extending the scaled boundary finite element method 
下载免费PDF全文
下载免费PDF全文 Suriyon Prempramote 《国际地质力学数值与分析法杂志》2016,40(6):919-941
A high‐frequency open boundary has been developed for the transient seepage analyses of semi‐infinite layers with a constant depth. The scaled boundary finite element equation of pore water pressure is formulated first in the frequency domain. With the eigenvalue problem, the equation can be decoupled into modal equations whose modal dynamic permeability equation can be determined. The continued fraction technique is adopted to formulate the continued fraction solution in the frequency domain. All constants in the solution are determined recursively at the high‐frequency limit. By introducing auxiliary variables and the continued fraction solution to the relationship between the prescribed seepage flow and the pore water pressure in the frequency domain, the open boundary condition is obtained. After transformed to the time domain, the open boundary condition is expressed as a system of fractional differential equations. No convolution integral is required. The accuracy of the analysis results increases with the increasing orders of continued fraction. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
12.
A practical and efficient numerical scheme for the analysis of steady state unconfined seepage flows
The scaled boundary finite‐element method (SBFEM), a novel semi‐analytical technique, is applied to the analysis of the confined and unconfined seepage flow. This method combines the advantages of the finite‐element method and the boundary element method. In this method, only the boundary of the domain is discretized; no fundamental solution is required, and singularity problems can be modeled rigorously. Anisotropic and nonhomogeneous materials satisfying similarity are modeled without additional efforts. In this paper, SBFE equations and solution procedures for the analysis of seepage flow are outlined. The accuracy of the proposed method in modeling singularity problems is demonstrated by analyzing seepage flow under a concrete dam with a cutoff at heel. As only the boundary is discretized, the variable mesh technique is advisable for modeling unconfined seepage analyses. The accuracy, effectiveness, and efficiency of the method are demonstrated by modeling several unconfined seepage flow problems. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
13.
依据空气单元模拟排水孔的思路,在渗流场任意可能逸出边界外布置一层渗透性较强的单元,与其他实体单元一起进行渗流计算,可以实现该边界的自动求解。与现行方法相比,不仅省去了逸出边界迭代计算的麻烦,而且避免了由于逸出点定位不准确而可能引起的渗流计算不合理或收敛困难等缺陷。算例分析表明,空气单元法的计算精度与空气单元的相对渗透系数R有关,与厚度L无关。当选取了合适的R值后,可以较好地逼近现行方法。对于因引入空气单元而造成的强弱透水介质界面处数值拟真性差的现象,还提出了加入接触面薄层单元的改进方法。方法改进后,计算精度可进一步提高。最后,以小湾水电站22#坝段渗流场计算为例,说明该法的实用性和可行性。 相似文献
14.
基于FLAC3D的饱和-非饱和渗流分析 总被引：1，自引：0，他引：1
当使用基于有限差分法的FLAC3D计算渗流场时,自由面位置过高,非饱和区渗透系数被定义成常数,这与实际情况不符。运用变单元渗透系数法,对其进行二次开发,并提出了修正的变单元渗透系数法,对非饱和区的渗透系数进行较为严格的理论修正,得出准确的连续光滑的自由面,求解出饱和-非饱和渗流场。利用有限元法与该方法进行对比,论证了该方法的可行性和有效性。提出了附着接触面的方法,解决了三维复杂边界中寻找溢出点的困难;并以实际的三维复杂工程为例,计算了某边坡的渗流场分布情况,经验证,结果准确。研究成果对研究饱和-非饱和渗流以及该软件中与渗流有关的计算具有有指导意义。 相似文献
15.
针对无压渗流问题,在传导矩阵调整法的基础上,对穿越自由面的单元用复合单元来处理,每个复合单元具有两套结点水头,一套用于饱和区的水头插值;另一套则用于无水区。通过变分原理,推出了控制方程并在程序中实现。应用复合单元法可以较好地解决自由面的插值问题,消除了穿过自由面单元的水上部分对自由面附近结点水头的贡献,同时对逸出面边界条件的处理也更加方便和准确。算例表明了该方法的有效性。 相似文献
16.
A new artificial boundary approach for transient seepage problems in unbounded domain is presented. The artificial boundary condition at the truncated boundary is derived from the analytical solutions for transient seepage problems in one dimension, including solutions, respectively, for flow in one‐dimensional infinite space and for radial flow in an infinite layer, and then it is tentatively applied for some two dimensional problems in addition to the one‐dimensional problems mentioned above. The boundary conditions derived relate the time‐dependent boundary flux with the time derivative of the hydraulic head at the truncated boundary, which makes the implementation much easier compared with the infinite element method. The accuracy and efficiency of the artificial boundary are validated by several numerical examples, which shows that the proposed boundary can give very good results for one‐dimensional transient seepage problems, as expected, whereas reasonable results can be also obtained for two‐dimensional problems, such as two‐dimensional axisymmetric flow and flow in an infinite plane. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
17.
Transient seepage analysis in zoned anisotropic soils based on the scaled boundary finite‐element method 下载免费PDF全文
下载免费PDF全文 The scaled boundary finite‐element method, a semi‐analytical computational scheme primarily developed for dynamic stiffness of unbounded domains, is applied to the analysis of unsteady seepage flow problems. This method is based on the finite‐element technology and gains the advantages of the boundary element method as well. Only boundary of the domain is discretized, no fundamental solution is required and singularity problems can be modeled rigorously. Anisotropic and non‐homogeneous materials satisfying similarity are modeled with no additional efforts. In this study, firstly, formulation of the method for the transient seepage flow problems is derived followed by its solution procedures. The accuracy, simplicity and applicability of the method are demonstrated via four numerical examples of transient seepage flow – three of them are available in the literature. Homogenous, non‐homogenous, isotropic and anisotropic material properties are considered to show the versatility of the technique. Excellent agreement with the finite‐element method is observed. The method out‐performs the finite‐element method in modeling singularity points. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
18.
19.
A local artificial boundary for transient seepage problems with unsteady boundary conditions in unbounded domains 下载免费PDF全文
下载免费PDF全文 Numerical analysis of transient seepage in unbounded domains with unsteady boundary conditions requires a more sophisticated artificial boundary approach to deal with the infinite character of the domain. To that end, a local artificial boundary is established by simplifying a global artificial boundary. The global artificial boundary conditions (ABCs) at the truncated boundary are derived from analytical solutions for one‐dimensional axisymmetric diffusion problems. By applying Laplace transforms and introducing some specially defined auxiliary variables, the global ABCs are simplified to local ABCs to significantly enhance the computational efficiency. The proposed local ABCs are implemented in a finite element computer program so that the solutions to various seepage problems can be calculated. The proposed approach is first verified by the computation of a one‐dimensional radial flow problem and then tentatively applied to more general two‐dimensional cylindrical problems and planar problems. The solutions obtained using the local ABCs are compared with those obtained using a large element mesh and using a previously proposed local boundary. This comparison demonstrates the satisfactory performance and obvious superiority of the newly established boundary to the other local boundary. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
20.
Farhang Daneshmand 《国际地质力学数值与分析法杂志》2012,36(6):780-797
One major difficulty in seepage analyses is finding the position of phreatic surface which is unknown at the beginning of solution and must be determined in an iterative process. The objective of the present study is to develop a novel non‐boundary‐fitted mesh finite‐element method capable of solving the unconfined seepage problem in domains with arbitrary geometry and continuously varied permeability. A new non‐boundary‐fitted finite element method named as smoothed fixed grid finite element method (SFGFEM) is used to simplify the solution of variable domain problem of unconfined seepage. The gradient smoothing technique, in which the area integrals are transformed into the line integrals around edges of smoothing cells, is used to obtain the element matrices. The solution process starts with an initial guess for the unknown boundary and SFGFEM is used to approximate the field variable. The boundary shape is then modified to eventually satisfy nonlinear boundary condition in an iterative process. Some numerical examples are solved to evaluate the applicability of the proposed method and the results are compared with those available in the literature. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献