Hydraulic Fracturing Functions
Fracture geometry models, fluid leakoff and proppant transport.
37 functions
PO.FRAC.PKN.Width(Q, Ul, L, E)
Perkins-Kern-Nordgren (PKN) fracture width at wellbore, [inches].
PO.FRAC.PKN.Width.NoLoss(Q, Ul, h, G, nu, t)
Perkins-Kern-Nordgren (PKN) fracture width without fluid loss, [inches].
PO.FRAC.PKN.Width.Leakoff(Q, Ul, h, G, nu, C, t)
Perkins-Kern-Nordgren (PKN) fracture width with Carter leakoff (large time), [inches].
PO.FRAC.PKN.Length.NoLoss(Q, Ul, h, G, nu, t)
Perkins-Kern-Nordgren (PKN) fracture half-length without fluid loss, [ft].
PO.FRAC.PKN.Length.Leakoff(Q, h, C, t)
Perkins-Kern-Nordgren (PKN) fracture half-length with Carter leakoff, [ft].
PO.FRAC.PKN.Pnet(w, h, E, nu)
Perkins-Kern-Nordgren (PKN) net fracturing pressure, [psi].
PO.FRAC.PKN.Volume(w, h, L)
Perkins-Kern-Nordgren (PKN) fracture volume (one wing), [bbl].
PO.FRAC.PKN.Wavg(wMax)
Perkins-Kern-Nordgren (PKN) average fracture width, [inches].
PO.FRAC.KGD.Width(Q, Ul, L, h, G)
Khristianovic-Geertsma-de Klerk (KGD) fracture width at wellbore, [inches].
PO.FRAC.KGD.Width.General(Q, Ul, L, h, E, nu)
Khristianovic-Geertsma-de Klerk (KGD) fracture width (generalized with Poisson's ratio), [inches].
PO.FRAC.KGD.Length.NoLoss(Q, Ul, h, G, t)
Khristianovic-Geertsma-de Klerk (KGD) fracture half-length without fluid loss, [ft].
PO.FRAC.KGD.Length.Leakoff(Q, h, C, t)
Khristianovic-Geertsma-de Klerk (KGD) fracture half-length with Carter leakoff, [ft].
PO.FRAC.KGD.Pnet(ww, L, G)
Khristianovic-Geertsma-de Klerk (KGD) net fracturing pressure, [psi].
PO.FRAC.KGD.Volume(ww, h, L)
Khristianovic-Geertsma-de Klerk (KGD) fracture volume (both wings), [bbl].
PO.FRAC.KGD.Wavg(wMax)
Khristianovic-Geertsma-de Klerk (KGD) average fracture width, [inches].
PO.FRAC.Radial.Width(Q, Ul, R, G)
Radial (Penny-shaped) fracture width at wellbore, [inches].
PO.FRAC.Radial.Radius.NoLoss(Q, Ul, G, t)
Radial (Penny-shaped) fracture radius without fluid loss, [ft].
PO.FRAC.Radial.Radius.Leakoff(Q, C, t)
Radial (Penny-shaped) fracture radius with Carter leakoff, [ft].
PO.FRAC.Radial.Pnet(ww, R, G, nu)
Radial (Penny-shaped) fracture net pressure, [psi].
PO.FRAC.Radial.Volume(ww, R)
Radial (Penny-shaped) fracture volume, [bbl].
PO.FRAC.Radial.Wavg(wMax)
Radial (Penny-shaped) fracture average width, [inches].
PO.FRAC.Leakoff.Velocity(C, t)
Carter leakoff velocity at given time, [ft/min].
PO.FRAC.Leakoff.Cumulative(C, Sp, t)
Cumulative fluid volume lost per unit area, [ft].
PO.FRAC.Leakoff.Vol(C, Sp, A, t)
Total leakoff volume from fracture, [bbl].
PO.FRAC.Leakoff.Cv(K, porosity, ct, dP, Ufrac)
Viscosity-controlled leakoff coefficient (Cv), [ft/sqrt(min)].
PO.FRAC.Leakoff.Cc(K, porosity, ct, dP, Ures)
Compressibility-controlled leakoff coefficient (Cc), [ft/sqrt(min)].
PO.FRAC.Leakoff.CL(Cv, Cc, Cw)
Total leakoff coefficient from components (series combination), [ft/sqrt(min)].
PO.FRAC.Leakoff.Eff(Vfrac, Vtotal)
Fracturing fluid efficiency, [fraction].
PO.FRAC.Proppant.Vs.Stokes(dp, Rho_p, Rho_f, Ul)
Stokes settling velocity (infinite dilution), [ft/min].
PO.FRAC.Proppant.Vs.StokesField(dp, SG_p, SG_f, Ul)
Stokes settling velocity using specific gravity (field units), [ft/min].
PO.FRAC.Proppant.Vs.Hindered(vs, Cv)
Hindered settling velocity (Richardson-Zaki), [ft/min].
PO.FRAC.Proppant.WallFactor(dp, w)
Wall correction factor for settling in narrow fracture (Faxen), [dimensionless].
PO.FRAC.Proppant.Re(dp, vs, Rho_f, Ul)
Particle Reynolds number for settling, [dimensionless].
PO.FRAC.Proppant.TR(vH, vs)
Proppant transport ratio (horizontal/settling velocity), [dimensionless].
PO.FRAC.Proppant.Ds(vs, t)
Proppant settling distance during transport, [ft].
PO.FRAC.Well.SkinEq(Xf, W, Kf, K, Rw)
Equivalent skin factor for vertical well with hydraulic fracture, [dimensionless].
PO.FRAC.Well.Cfd(Kf, W, K, Xf)
Fracture dimensionless conductivity, [dimensionless].