Pseudo-steady state productivity of horizontal Wells - Method 2
Input(s)
μo: Viscosity of Oil (cP)
Bo: Oil Formation Volume (RB/STB)
At: Horizontal Well Drainage Area in the Vertical Plane =2 y_eh (ft2)
sR: Skin Factor Due to Partial Penetration of Horizontal Well (dimensionless)
xe: Half Length of the Short Side of the Rectangular Drainage Area (ft)
ye: Half Length of the Long Side of the Rectangular Drainage Area (ft)
yw: Distance from the Horizontal Well to the Closest Boundary in Y Direction (ft)
h: Thickness of Reservoir (ft)
kv: Vertical Permeability (mD)
ky: Horizontal Permeability (mD)
rw: Radius of Wellbore (ft)
zw: Vertical Distance between Horizontal Well and Bottom Boundary of Reservoir (ft)
Output(s)
InCh: A Constant Related to the Natural Logarithm of Shape Factor (dimensionless)
Jh: Pseudo-steady State Productivity of Horizontal Wells (bbl/day/psi)
Formula(s)
InCCh=6.28∗(2∗hye)∗(kykv)0.5∗(31−2∗yeyw+(2∗yeyw)2)−ln(sin(180∗hzw))−0.5∗ln((2∗hye)∗(kykv)0.5)−1.088Jh=0.007078∗2∗xe∗ln(rw(At)0.5)+InCh−0.75+sRμo∗Bo(ky∗kv)0.5Reference(s)
Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7, Page: 22 .