Classification of

similarity criteria

Number of similarity criteria

Physical significance

Geometric similarity

x/L_x

Ratio of dimensionless coordinates to feature length

y/L_y

z/L_z

L_x/L_y

Ratio of appearance sizes in different directions

L_x/L_z

L/L_x

Ratio of horizontal section length to reservoir length

L/d

Ratio of horizontal section length to well spacing

L_z/r_w

Ratio of reservoir thickness to well diameter

Motion similarity

$\frac{Dt\sqrt{K/{\phi }_{fo}}\sigma t}{L_x{L}_y\left(1-{\phi }_{fo}\right)R{\mu }_w{L}_x}$

Product of proportion of osmotic capacity in total reservoir permeable absorption and characteristic time

Dynamic similarity

$\left(1/C_f-\left({\gamma }_w-{\gamma }_o\right)L_z\right)L_{x}K/q{\mu }_w$

Ratio of displacement power to pressure difference of injection and production

${\mu }_o/{\mu }_w$

Oil-water viscosity ratio

$\left(p-p_i\right)L_{x}K/q{\mu }_w$

Ratio of pressure drop to pressure difference of injection and production