Chemical dissolution-front instability associated with water-rock reactions in groundwater hydrology: Analyses of porosity-permeability relationship effects

Chemical dissolution-front instability associated with water-rock reactions in groundwater hydrology: Analyses of porosity-permeability relationship effects
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地下水水文学中与水-岩石反应相关的化学溶解前沿不稳定性:孔隙度-渗透率关系效应分析

DOI:
10.1016/j.jhydrol.2016.07.022
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发表时间:
2016-09
影响因子:
6.4
通讯作者:
A. Ord
A. Ord
中科院分区:
地球科学1区
文献类型:
--
作者:
Zhao, Chongbin;B.E. Hobbs;A. Ord

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由于岩石的溶解可能会形成并增强地下水流道,因此化学溶解前沿不稳定性(CDFI)可以控制地下水的质量。本文介绍了水饱和多孔岩石中孔隙度-渗透率关系对 CDFI 影响的理论分析。由于水岩反应体系中的CDFI可以通过比较地球化学溶解体系的综合无量纲动态特征(CDDC)数与相应的临界CDDC数来评估,因此有必要从理论上研究不同的孔渗关系如何影响水岩反应体系的CDDC数和临界CDDC数。以常用的Kozeny-Carman(KC)公式为参考孔渗公式,提出了渗透率变化指标(PVI),定义为任意孔渗公式得到的渗透率与KC公式得到的渗透率之比,以反映孔渗公式对水岩反应体系CDFI的影响。理论结果表明:(1)由于PVI较高的孔渗公式可以产生较强的达西流速,因此可能对水岩反应体系中的CDFI产生显着影响。 (2)随着孔渗公式PVI的增大,水岩反应体系的临界CDDC数减小。这意味着具有较高PVI的多孔岩石可以使CDFI在水-岩石反应体系中更容易发生。 (3) 使用较高PVI的孔隙度-渗透率公式还可以导致水岩反应体系中扰动无量纲增长速率和化学溶解前沿传播速度的增加。
Because dissolution of rocks may create and enhance groundwater flow channels, the chemical dissolution-front instability (CDFI) can control the quality of groundwater. This paper presents the theoretical analyses of porosity-permeability relationship effects on the CDFI in water-saturated porous rocks. Since the CDFI in a water-rock reaction system can be assessed by comparing the comprehensive dimensionless dynamic characteristic (CDDC) number with the corresponding critical CDDC number of the geochemical dissolution system, it is necessary to investigate theoretically how different porosity-permeability relationships can affect the CDDC number and critical CDDC number of a water-rock reaction system. With the commonly-used Kozeny–Carman (KC) formula taken as a reference porosity-permeability formula, the permeability variation indicator (PVI), which is defined as the ratio of the permeability obtained from any porosity-permeability formula to that obtained from the KC formula, is proposed to reflect the effect of the porosity-permeability formula on the CDFI in a water-rock reaction system. The theoretical results demonstrated that: (1) since the porosity-permeability formula with a higher PVI can result in a stronger Darcy flow velocity, it may have a significant influence on the CDFI in the water-rock reaction system. (2) With an increase in the PVI of a porosity-permeability formula, there is a decrease in the critical CDDC number of the water-rock reaction system. This means that the porous rock with a higher PVI can enable the CDFI to take place much easier in the water-rock reaction system. (3) The use of the porosity-permeability formula with a higher PVI can also cause an increase in both the dimensionless growth rate of a perturbation and the propagation speed of the chemical dissolution front in the water-rock reaction system.
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