AI 中文总结
本研究通过将压力控制驱替表述为带捕获的键逾渗，揭示了二维与三维下残余饱和度的有限尺寸标度规律，扩展了侵入逾渗的适用范围。
AI 中文摘要
本文将压力控制驱替表述为孔隙网络图上带捕获效应的键逾渗问题，建立了逾渗理论与压力-饱和度关系的直接联系。在二维情形下，残余饱和度与其非零热力学极限的偏差服从指数δ≈0.25的有限尺寸标度律，该指数与晶格微观细节无关；在三维情形下，有限尺寸修正衰减更快（δ≈0.75），而渐近残余饱和度仍有限且依赖配位数。这将标准侵入逾渗图像扩展到突破状态之外，突破状态中侵入团簇为分形，被侵入相饱和度在无限尺寸极限下消失。
英文摘要
Here, pressure-controlled drainage is formulated as bond percolation with trapping on the pore-network graph, establishing a direct connection between percolation theory and pressure--saturation relations. In two dimensions, the deviation of the residual saturation from its non-vanishing thermodynamic limit obeys a finite-size scaling law with exponent $δ\approx 0.25$, independent of microscopic details of the lattice. In three dimensions, finite-size corrections decay more rapidly ($δ\approx 0.75$), while the asymptotic residual saturation remains finite and depends on coordination number. This extends the standard invasion-percolation picture beyond the breakthrough state, where the invading cluster is fractal and the invaded-phase saturation vanishes in the infinite-size limit.
Comments6 pages, 4 figures
