Staggered-Grid Finite Difference Method with Variable-Order Accuracy for Porous Media

Figure 1

Dispersion curves for the same order of accuracy but different velocities. (a) Variation of dispersion parameter 𝛿 with 𝑘ℎ, (b) variation of dispersion parameter 𝛿 with 𝑓, (c) variation of dispersion parameter log₁₀|𝜀| with 𝑓. Here, 𝑣=500, 1500, 2500, 3500, 4500 m/s, 𝜏=0.0001 s, ℎ=2 m, and 𝑀=10. When log₁₀|𝜀|<−16, we set log₁₀|𝜀|=−16.

(a)

(b)

(c)