Department of Earth and Environmental Sciences, Wright State University, Dayton, OH 45435, USA.
Ground Water. 2013 Jan-Feb;51(1):92-9. doi: 10.1111/j.1745-6584.2012.00930.x. Epub 2012 Apr 17.
A procedure has been developed for calculating permeability (k) from the Kozeny-Carman equation, a procedure that links ideas from percolation theory with the ideas of Koltermann and Gorelick (1995) and Esselburn et al. (2011). The approach focuses on the proportion of coarser pores that are occupied by finer sediments relative to a percolation threshold proportion (ω(c)). If the proportion occupied is below ω(c), then the unoccupied coarser pores percolate. Otherwise they do not percolate. Following the ideas of Koltermann and Gorelick (1995), the effective grain-size term in the Kozeny-Carman equation is calculated using the geometric mean if the unoccupied coarse pores percolate, and using the harmonic mean if otherwise. Following ideas of Esselburn et al. (2011), this approach is implemented by evaluating the potential for grains in each size category to occupy pores among sediment of each larger-size category. Application of these ideas to physical sediment models for sands and gravels, which have known k, indicates that a threshold does indeed exist. Results also suggest that the Kozeny-Carman equation is robust and gives representative values for k, even though ω(c) is not precisely known.
已经开发出一种从 Kozeny-Carman 方程计算渗透率 (k) 的方法，该方法将渗流理论的思想与 Koltermann 和 Gorelick（1995 年）以及 Esselburn 等人的思想（2011 年）联系起来。该方法侧重于相对于渗流阈值比例（ω(c)）被细沉积物占据的较粗孔的比例。如果占据的比例低于 ω(c)，则未占据的较粗孔会渗流。否则，它们不会渗流。遵循 Koltermann 和 Gorelick（1995 年）的思想，如果未占据的粗孔渗流，则 Kozeny-Carman 方程中的有效粒径项使用几何平均值计算，如果否则，则使用调和平均值计算。遵循 Esselburn 等人的思想（2011 年），通过评估每个尺寸类别中的颗粒在每个较大尺寸类别中的沉积物中占据孔的潜力来实现此方法。将这些思想应用于具有已知 k 的砂和砾石的物理沉积物模型表明，确实存在一个阈值。结果还表明，即使 ω(c) 不精确，Kozeny-Carman 方程也是稳健的，并给出了 k 的代表性值。
