...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Transport in Porous Media >New Considerations on Analytical Solutions Employed in Tracer Flow Modeling
【24h】

New Considerations on Analytical Solutions Employed in Tracer Flow Modeling

机译：示踪剂流建模中分析解决方案的新考虑

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

A methodology commonly used to obtain analytical and semi-analytical solutions to describe spike and finite-step tracer injection tests is discussed. In these cases, solutions to the diffusion-convection equation are derived from the solution of a different problem, namely the continuous injection of a tracer. Within this procedure, spike injection results from the time derivative of this solution, and finite-step injection from the superposition of two solutions shifted in time. In this paper we show that although this methodology is mathematically correct, attention should be paid to the properties of the solutions. Their boundary conditions may not represent physically acceptable situations, since these conditions are inherited from a different problem. The application of the methodology to a simple one-dimensional case of a tracer pulse diffusing in a homogeneous, semi-infinite reservoir shows serious problems regarding boundary conditions and mass conservation. These problems has not probably been found before since tracer breakthrough curves are not very sensitive to them. However, the problems clearly show up when the tracer distribution in space is analyzed. We conclude that the traditional methodology should not be employed. Equations should be solved imposing the specific boundary and initial conditions corresponding to the original system under consideration.
机译：讨论了一种通常用于获取分析和半分析解决方案的方法，以描述峰值和有限步示踪剂注入测试。在这些情况下，扩散对流方程的解是从另一个问题的解决方案中得出的，即连续注入示踪剂。在此过程中，尖峰注入是由该解的时间导数产生的，而有限步注入是由于两个解的叠加随时间推移而产生的。在本文中，我们表明，尽管该方法在数学上是正确的，但应注意解决方案的性质。它们的边界条件可能并不代表物理上可接受的情况，因为这些条件是从其他问题继承而来的。该方法在均质，半无限储层中的示踪脉冲扩散的简单一维情况下的应用显示了有关边界条件和质量守恒的严重问题。由于示踪剂穿透曲线对它们不太敏感，因此以前可能未发现这些问题。但是，当分析示踪剂在空间中的分布时，显然会出现问题。我们得出结论，不应采用传统方法。应通过强加特定边界和对应于所考虑原始系统的初始条件来求解方程。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号