Method of fracturing a subterranean formation at optimized and pre-determined conditions

1. A method of hydraulic fracturing a subterranean formation by introducing a transport fluid containing a proppant into a fracture of defined length, D PST , within the formation, the method comprising:

(a) determining the requisite median diameter of the proppant, d prop , for the fracture of defined length in accordance with Equation (I):

( d prop )=( A )×(1 /q i )×( D PST ) B ×(1 /C TRANS )×(1 /ΔSG PS )×(μ fluid )  (I)

wherein:

A is the multiplier and B is the exponent from the Power Law equation of velocity of the transport slurry vs. distance for the fracture geometry;

q i is the injection rate per foot of injection height, bpm/ft;

C TRANS is the transport coefficient;

ΔSG PS is SG prop −SG fluid , SG prop being the specific gravity of the proppant and SG fluid being the specific gravity of the transport fluid; and

μ fluid is the apparent viscosity of the transport fluid, in cP;

(b) introducing the transport fluid into the formation; and

(c) subjecting the formation to hydraulic fracturing and creating fractures in the formation defined by D PST .

2. The method of claim 1 , wherein the proppant is an ultra lightweight (ULW) proppant.

3. The method of claim 1 , wherein the transport fluid is slickwater.

4. The method of claim 1 , wherein the fracture geometry has a 1:1 to 5:1 aspect ratio.