Author details

k Absolute permeability (mD)

136 Perturbation Methods with Applications in Science and Engineering

kro Oil relative permeability (mD)

pi Reservoir initial pressure (psi)

krw Water relative permeability (mD)

ks Skin permeability (mD)

pc Capillary pressure (psi)

pt Pressure threshold (psi)

pw Water pressure (psi)

qo Oil flow rate (RB/D)

rskin Skin zone radius (ft) rw Wellbore radius (ft)

Sw Water saturation

t Time (h)

D Shock speed

r Radius (ft)

ϕ Porosity

Siw Immobile water saturation

Sor Residual oil saturation

C Constant given by <sup>θ</sup>qt

h Reservoir thickness (ft)

w Traveling wave coordinate

e Perturbation parameter

α Unit conversion factor (141.2)

λ Pore size distribution index

co Oil compressibility (1/psi)

θ Unit conversion factor (5.6146/24)

πhϕ

qt Total liquid rate (RB/D) rs Shock front position (ft)

po Oil pressure (psi)

Cíntia Gonçalves Machado\* and Albert C. Reynolds

\*Address all correspondence to: cintia-machado@utulsa.edu

McDougall School of Petroleum Engineering, University of Tulsa, Tulsa, OK, USA
