Hydraulic Fracturing LAMBDAs
Fracture geometry models, fluid leakoff and proppant transport.
36 lambdas
PO.FRAC.PKN.Width.SI(Q, Ul, L, E)
Perkins-Kern-Nordgren (PKN) fracture width at wellbore, [cm] (SI units).
PO.FRAC.PKN.Width.NoLoss.SI(Q, Ul, h, G, nu, t)
Perkins-Kern-Nordgren (PKN) fracture width without fluid loss, [cm] (SI units).
PO.FRAC.PKN.Width.Leakoff.SI(Q, Ul, h, G, nu, C, t)
Perkins-Kern-Nordgren (PKN) fracture width with Carter leakoff (large time), [cm] (SI units).
PO.FRAC.PKN.Length.NoLoss.SI(Q, Ul, h, G, nu, t)
Perkins-Kern-Nordgren (PKN) fracture half-length without fluid loss, [m] (SI units).
PO.FRAC.PKN.Length.Leakoff.SI(Q, h, C, t)
Perkins-Kern-Nordgren (PKN) fracture half-length with Carter leakoff, [m] (SI units).
PO.FRAC.PKN.Pnet.SI(w, h, E, nu)
Perkins-Kern-Nordgren (PKN) net fracturing pressure, [kPa] (SI units).
PO.FRAC.PKN.Volume.SI(w, h, L)
Perkins-Kern-Nordgren (PKN) fracture volume (one wing), [m3] (SI units).
PO.FRAC.PKN.Wavg.SI(wMax)
Perkins-Kern-Nordgren (PKN) average fracture width, [cm] (SI units).
PO.FRAC.KGD.Width.SI(Q, Ul, L, h, G)
Khristianovic-Geertsma-de Klerk (KGD) fracture width at wellbore, [cm] (SI units).
PO.FRAC.KGD.Width.General.SI(Q, Ul, L, h, E, nu)
Khristianovic-Geertsma-de Klerk (KGD) fracture width (generalized with Poisson's ratio), [cm] (SI units).
PO.FRAC.KGD.Length.NoLoss.SI(Q, Ul, h, G, t)
Khristianovic-Geertsma-de Klerk (KGD) fracture half-length without fluid loss, [m] (SI units).
PO.FRAC.KGD.Length.Leakoff.SI(Q, h, C, t)
Khristianovic-Geertsma-de Klerk (KGD) fracture half-length with Carter leakoff, [m] (SI units).
PO.FRAC.KGD.Pnet.SI(ww, L, G)
Khristianovic-Geertsma-de Klerk (KGD) net fracturing pressure, [kPa] (SI units).
PO.FRAC.KGD.Volume.SI(ww, h, L)
Khristianovic-Geertsma-de Klerk (KGD) fracture volume (both wings), [m3] (SI units).
PO.FRAC.KGD.Wavg.SI(wMax)
Khristianovic-Geertsma-de Klerk (KGD) average fracture width, [cm] (SI units).
PO.FRAC.Radial.Width.SI(Q, Ul, R, G)
Radial (Penny-shaped) fracture width at wellbore, [cm] (SI units).
PO.FRAC.Radial.Radius.NoLoss.SI(Q, Ul, G, t)
Radial (Penny-shaped) fracture radius without fluid loss, [m] (SI units).
PO.FRAC.Radial.Radius.Leakoff.SI(Q, C, t)
Radial (Penny-shaped) fracture radius with Carter leakoff, [m] (SI units).
PO.FRAC.Radial.Pnet.SI(ww, R, G, nu)
Radial (Penny-shaped) fracture net pressure, [kPa] (SI units).
PO.FRAC.Radial.Volume.SI(ww, R)
Radial (Penny-shaped) fracture volume, [m3] (SI units).
PO.FRAC.Radial.Wavg.SI(wMax)
Radial (Penny-shaped) fracture average width, [cm] (SI units).
PO.FRAC.Leakoff.Velocity.SI(C, t)
Carter leakoff velocity at given time, [m/min] (SI units).
PO.FRAC.Leakoff.Cumulative.SI(C, Sp, t)
Cumulative fluid volume lost per unit area, [m] (SI units).
PO.FRAC.Leakoff.Vol.SI(C, Sp, A, t)
Total leakoff volume from fracture, [m3] (SI units).
PO.FRAC.Leakoff.Cv.SI(K, porosity, ct, dP, Ufrac)
Viscosity-controlled leakoff coefficient (Cv), [m/sqrt(min)] (SI units).
PO.FRAC.Leakoff.Cc.SI(K, porosity, ct, dP, Ures)
Compressibility-controlled leakoff coefficient (Cc), [m/sqrt(min)] (SI units).
PO.FRAC.Leakoff.Eff.SI(Vfrac, Vtotal)
Fracturing fluid efficiency, [fraction] (SI units).
PO.FRAC.Proppant.Vs.Stokes.SI(dp, Rho_p, Rho_f, Ul)
Stokes settling velocity (infinite dilution), [m/min] (SI units).
PO.FRAC.Proppant.Vs.StokesField.SI(dp, SG_p, SG_f, Ul)
Stokes settling velocity using specific gravity (field units), [m/min] (SI units).
PO.FRAC.Proppant.Vs.Hindered.SI(v_stokes, Cv)
Hindered settling velocity (Richardson-Zaki), [m/min] (SI units).
PO.FRAC.Proppant.WallFactor.SI(dp, w)
Wall correction factor for settling in narrow fracture (Faxen), [dimensionless] (SI units).
PO.FRAC.Proppant.Re.SI(dp, vs, Rho_f, Ul)
Particle Reynolds number for settling, [dimensionless] (SI units).
PO.FRAC.Proppant.TR.SI(vH, vs)
Proppant transport ratio (horizontal/settling velocity), [dimensionless] (SI units).
PO.FRAC.Proppant.Ds.SI(vs, t)
Proppant settling distance during transport, [m] (SI units).
PO.FRAC.Well.SkinEq.SI(Xf, W, Kf, K, Rw)
Equivalent skin factor for vertical well with hydraulic fracture, [dimensionless] (SI units).
PO.FRAC.Well.Cfd.SI(Kf, W, K, Xf)
Fracture dimensionless conductivity, [dimensionless] (SI units).