Sorptive Solute Transport in a Channelized Flow System: Application of a stochastic channel network model

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  • Sugita Fumi
    科学技術庁防災科学技術研究所気圏水圏地球科学技術研究部

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  • 水みち状流れによる吸着性物質の移動特性:確率論的ネットワークモデルをもちいて
  • ミズミチジョウ ナガレ ニ ヨル キュウチャクセイ ブッシツ ノ イドウ トク

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Abstract

Sorptive solute transport through channelized flow regimes was investigated using a two-dimensional channel network model. Channel networks of various geometry were generated stochastically and sorptive as well as non-sorptive solute transports in the media were simulated. The sorption reaction was assumed to become equilibrium instantaneously and to have a linear and singular isotherm. Breakthrough curves (BTCs) in actual concentration and time were normalized by total tracer concentration and by an average discharge time of non-sorptive tracer from the network. These normalized BTCs indicate distinctive characteristics of sorptive solute transport in the heterogeneous media such that: (1)The medium with smaller average channel size gives delayed breakthrough and greater spreading in sorptive solute BTCs, whereas non-sorptive solute BTCs are not affected by average channel size, since BTCs are normalized (2) When average channel size is the same, a medium which has wider channel size variation gives significantly greater spreading in sorptive solute BTCs whereas nonsorptive solute BTCs show only slight increase in BTC spreading (3) As channel density increases, difference in effects of channel size variation on nonsorptive and sorptive solute BTCs becomes small (4) BTC characteristics are not significantly affected by channel orientation nor by variation in channel orientation, although permeability of the network is affected by the orientation of the channels. The second and the third results indicate that sorptive solute transport exhibits more pronounced effect of heterogeneity in the discrete media than nonsorptive solute transport does. It also suggests that medium with greater heterogeneity causes larger spreading in sorptive solute BTCs, which may lead to considerably early arrival of the solute to a certain point of question in a field situation.

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