Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (11): 1027-1033.

• 论文 • 上一篇    下一篇

NONSTEADY FLOW OF GROUNDWATER IN AQUIFER SYSTEM WITH VISCOELASTIC PROPERTIES

刘慈群   

  1. Lanzhou Research Division of Flow Through Porous Media, Academia Sinica of China, Lanzhou
  • 收稿日期:1985-05-24 出版日期:1986-11-18 发布日期:1986-11-18

NONSTEADY FLOW OF GROUNDWATER IN AQUIFER SYSTEM WITH VISCOELASTIC PROPERTIES

Liu Ci-qun   

  1. Lanzhou Research Division of Flow Through Porous Media, Academia Sinica of China, Lanzhou
  • Received:1985-05-24 Online:1986-11-18 Published:1986-11-18

摘要: The transient flow behavior of ground-water in aquifer-aquitard system with viscoelastic properties is studied. On the basis of previous works (Hantush, Neuman, Brutsaert, Corapcioglu), the new partial differential-integral equations are derived. The well-known equations (Hantush, Brutsaert) are the special cases of the new equations. The new equations describe the flow of a slightly compressible groundwater in layers with viscoelastic properties.Analytical solutions of the partial differential-integral equations are obtained by using the method of Laplace transform. The viscoelastic properties enhance the heterogeneities of elastic aquifer system which have delay and feed qualities. The agreements between the numericl inversion results of Laplace transform and the analytical solutions are good. The formulae predict the transient flow behavior of groundwater in this heterogeneous layers.

关键词: wall distance, numerical simulation, overset grid

Abstract: The transient flow behavior of ground-water in aquifer-aquitard system with viscoelastic properties is studied. On the basis of previous works (Hantush, Neuman, Brutsaert, Corapcioglu), the new partial differential-integral equations are derived. The well-known equations (Hantush, Brutsaert) are the special cases of the new equations. The new equations describe the flow of a slightly compressible groundwater in layers with viscoelastic properties.Analytical solutions of the partial differential-integral equations are obtained by using the method of Laplace transform. The viscoelastic properties enhance the heterogeneities of elastic aquifer system which have delay and feed qualities. The agreements between the numericl inversion results of Laplace transform and the analytical solutions are good. The formulae predict the transient flow behavior of groundwater in this heterogeneous layers.

Key words: wall distance, numerical simulation, overset grid

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