Influence of Pore Structure on Compressive Strength of Cement Mortar

Table 4

Pore size distribution models of cement-based materials.

Models	Equations	Parameters
Diamond and Dolch model [18]	𝑓(𝑑)=1√−𝑑2𝜋ln𝜎expln^∗/𝑑^∗√2ln𝜎^2	𝑑^∗,𝜎
Van Breugel model [19]	𝑉(≤𝑑)𝑑=𝑎⋅ln𝑑0^𝑛	𝑎,𝑛
Shi and Brown model [20]	𝑝(𝑥)=1√2𝜋𝜎^2𝑥−1exp2log(𝑥)−𝜇2^2; 𝑝(𝑥)=∑𝑓𝑖𝑝𝑥,𝜇𝑖,𝜎𝑖,∑𝑓𝑖=1	𝜇𝑖,𝜎𝑖
Shimomurat and Maekawa model [21]	𝑉(𝑑)=𝑉01−exp−𝐵𝑑^𝐶	𝐵,𝐶
Patil and Bhattacharjee model [22]	𝑉=𝜙𝑑^𝑚0.5𝑑^𝑚+𝑑^𝑚0.5	𝑟0.5,𝑚