共查询到19条相似文献,搜索用时 125 毫秒
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鲁统超 《高等学校计算数学学报》1994,16(4):338-344
近年来,石油科学在石油有机地球化学,石油的生成、运移和聚集的理论等方面的研究都取得了重大进展。在评估一个含油气盆地的油气资源时,对于盆地的发育史,尤其是温度变化的历史的了解是极其重要的。由于含油气盆地是经过一个漫长的复杂过程形成的,因而以往的研究都是在油气盆地具有固定边界的假设下进行的,而实际上盆地是随时间不断变 相似文献
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三维油资源运移聚集的模拟和应用 总被引:4,自引:2,他引:2
盆地发育的运移聚集史数值模拟, 其功能是重建油气盆地的运移聚集演化史, 它对于油资源的勘探, 确定油藏位置和计算油藏贮量, 寻找新的油田, 具有极其重要的价值· 本文从地质科学实际出发, 研究了三维问题的地质和渗流力学特征, 提出二阶修正算子分裂隐式迭代格式, 对著名油水运移聚集实验进行了数值模拟, 结果基本吻合, 并对胜利油田东营凹陷的实际问题进行数值模拟试验, 结果和实际地质情况( 油田位置等) 基本吻合, 成功解决了这一著名问题· 相似文献
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近年来石油科学在石油有机地球化学,石油的生成,运移,聚集理论的研究方面取得了重大的进展,在评价一个盆地的含油气资源时,对于盆地发育史,尤其是对受热变化的历史了解是非常重要的。 本文研究盆地发育史模型所提出的耦合抛物型偏微分方程组的初、边值问题,第一个 相似文献
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本文讨论了连续铸钢保护渣层热过程的物理 ,数学模型 ,采用三维有限元方法进行了数值计算 ,较成功地模拟了保护渣的热传递过程 相似文献
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浅水流动与污染物扩散的高分辨率计算模型 总被引:3,自引:0,他引:3
将组合型TVD格式应用于守恒型的浅水方程和污染物扩散方程,建立了二者耦合求解的高分辨率有限体积计算模型。给出了溃坝水流、明渠突扩流和污染物输运计算的典型算例,并与实验数据或其它数值结果进行了比较,证实了该模型的有效性,表明它不但能处理有激波的非恒定流问题,也能较好地计算具有任意边界的一般的浅水流动和污染物扩散问题,为浅水流动和水环境模拟提供了精度高、稳定性好、普适性强的数值方法。 相似文献
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油资源二次运移大规模并行数值模拟及其在胜利油田应用 总被引:1,自引:1,他引:0
从生产实际出发,开展了多层问题的石油地质和渗流力学特征研究,提出了新的数学模型,构造了适合并行计算的耦合算子分裂隐式迭代格式,并成功地对胜利油田东营凹陷(四层)和滩海地区(三层)的实际问题进行了大规模并行计算的数值模拟,计算结果在油藏位置等方面和实际情况相吻合.成功地解决了这一计算渗流力学和石油地质的重要问题. 相似文献
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袁益让 《数学物理学报(A辑)》1999,19(2):196-205
研究油气运移聚集史的数值模拟,其数学模型是三维非线性偏微分方程组的初边值问题,我们从实际出发,考虑了重力、毛管力浮力的作用,同时考虑到三维总理2大规模科学和工程计算的特征,提出对流动方程采用大步长的混合元法,而对三维饱和度方程的计算,采用一类交替方向特征有限元法,钭其化主国连续解三个一维问题,使工程数值计算成为可能,应用张量积计算,负模估计和先验估计理论,得到最佳阶L^2误差估计。 相似文献
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可压缩可混溶油、水两相渗流动边值问题的研究,对重建盆地发育中油气资源运移、聚集的历史和评估油气资源的勘探与开发有重要的价值,其数学模型是一组非线性偶合偏微分方程组的动边值问题.本文对二维有界域的两类边值问题提出一类新的特征差分格式,应用区域变换、时间的变步长、粗细网格配套、变分形式、先验估计的理论和技巧,得到了最佳阶l2误差估计结果.将J.Douglas,Jr.提出的著名方法,成功地拓广到这一新领域,并得到实质性进展.它对这一领域的模型分析,数值方法和软件研制均有重要的价值. 相似文献
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Yuan Yirang Li Changfeng Sun Tongjun 《Numerical Methods for Partial Differential Equations》2014,30(4):1103-1129
The research of the three‐dimensional (3D) compressible miscible (oil and water) displacement problem with moving boundary values is of great value to the history of oil‐gas transport and accumulation in basin evolution, as well as to the rational evaluation in prospecting and exploiting oil‐gas resources, and numerical simulation of seawater intrusion. The mathematical model can be described as a 3D‐coupled system of nonlinear partial differential equations with moving boundary values. For a generic case of 3D‐bounded region, a kind of second‐order upwind finite difference fractional steps schemes applicable to parallel arithmetic is put forward. Some techniques, such as the change of variables, calculus of variations, and the theory of a priori estimates, are adopted. Optimal order estimates in l2 norm are derived for the errors in approximate solutions. The research is important both theoretically and practically for model analysis in the field, for model numerical method and for software development. Thus, the well‐known problem has been solved.Copyright © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1103–1129, 2014 相似文献
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In the framework of the linearized shallow water equations, the homogenization method for wave type equations with rapidly oscillating coefficients that generally cannot be represented as periodic functions of the fast variables is applied to the Cauchy problem for the wave equation describing the evolution of the free surface elevation for long waves propagating in a basin over an uneven bottom. Under certain conditions on the function describing the basin depth, we prove that the solution of the homogenized equation asymptotically approximates the solution of the original equation. Model homogenized wave equations are constructed for several examples of one-dimensional sections of the real ocean bottom profile, and their numerical and asymptotic solutions are compared with numerical solutions of the original equations. 相似文献
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可压缩可混溶油、水三维渗流动边值问题的研究,对重建盆地发育中油气资源运移、聚集的历史和评估油气资源的勘探与开发有重要的价值,
其数学模型是一组非线性耦合偏微分方程组的动边值问题. 该文对有界域的动边值问题提出一类新的二阶修正迎风差分格式, 应用区域变换、
变分形式、能量方法、差分算子乘积交换性理论、高阶差分算子的分解、微分方程先验估计的理论和技巧, 得到了最佳 $l^2$ 误差估计结果.
该方法已成功应用到油资评估的数值模拟中. 它对这一领域的模型分析, 数值方法和软件研制均有重要的价值. 相似文献
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Laijun Zhao Changmin Li Rongbing Huang Steven Si Jian Xue Wei Huang Yue Hu 《European Journal of Operational Research》2013
This paper presents a bilevel programming framework for a harmonizing model with transfer tax (HMTT) on water pollution across regional boundaries of a lake basin in China, where the administrator is the upper-level decision maker and individual regions consisting of the lake basin are the lower-level decision makers (followers). Leader’s cost is the total pollution reduction cost, whereas each region selfishly minimizes its own cost including reduction cost and transfer cost, given the transfer tax rate imposed by the leader. The HMTT guarantees that the imposed environmental quality standard is met through the transfer tax. Based on the KKT conditions of an auxiliary problem, we obtain that the solution set of the HMTT is nonempty. An algorithm is proposed, with the convergence result, to compute the cost-minimized transfer tax rate along with the reduction quantities of individual regions. Theoretical analysis and a case study for China’s Taihu Lake Basin show that the HMTT is superior to the current model of proportional share of pollution reduction (MPSPR). The HMTT not only solves the problem of conflicts over water pollution across regional boundaries but also utilizes the resources of the lake basin more efficiently. 相似文献
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油气运移、聚集史软件的功能是重建盆地发育中油气资源运移、聚集的历史。其数学模型是一组非线性耦合偏微分方程组的动边值问题。本文对二维、有界区域的一般情况,提出一类特征混合元逼近并得到了逼近解的最佳L^2模误差估计。 相似文献
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An investigation of BELENE Nuclear Power Plant (NPP) free field signal is presented in the current study. An SH wave propagation trough multilayer geological media in the region is considered. An original structural model of the geological column has been developed. The investigated layers are isotropic, with constant depth and skyline parallel. The SH rays are with an arbitrary angle as far as the layers are concerned. The seismic SH waves have been generated by a special detonation device. The main results of the study are graphically illustrated. A comparison between the original BELENE NPP experimental and the numerical surface (free field) signals (obtained by the formulated direct problem) for the investigated geological column has been carried out and its results are hereby shown. 相似文献
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首次从一个吸引域的离子时间来研究神经网络中的记忆恢复问题。在时齐情形,我们分别给出了首次离出一个吸引域的时间和趋于平衡态的时间的估计。文中也考虑了非时齐情形,刻画了如何调整“温度”参数才能使过程永远停留在一个吸引子或最终离出一个吸引子。文中最后描述记忆之间的序关系。 相似文献