Flow conductivity predicting method considering particle size distribution of propping agent
A technology of diversion capacity and prediction method, which is applied in the fields of mining fluids, earthwork drilling, special data processing applications, etc., and can solve problems such as difficult to achieve expected production increase effects, small porosity, and low permeability
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Embodiment 1
[0052] In the prior art, the stress analysis of single particle size proppant in rock formation fractures is as follows: figure 2 As shown, the remaining fracture width of the single particle size proppant is:
[0053]
[0054]
[0055] Where: W f1 is the remaining crack width at a single particle size, cm; P s is the pressure of a single proppant particle acting on the rock, MPa; R is the radius of a single proppant particle, cm; P c is the closing pressure, MPa; E * is the comprehensive modulus of elasticity, MPa; E 2 is the elastic modulus of rock formation, MPa; D 2 is the rock thickness, cm; ν 1 is the Poisson’s ratio of proppant particles, dimensionless; ν 2 is the Poisson's ratio of the rock formation, dimensionless.
[0056] The fracture permeability of a single particle size is:
[0057]
[0058] In the formula: K f1 Permeability for a single particle size, μm 2 .
[0059] Order R 1 =R 2 =R=0.5, and other basic parameters are set as follows: the t...
Embodiment 2
[0061] The basic parameters of the rock formation and proppant are set as follows: the thickness of the rock formation is 3 mm, the initial fracture width is 5 mm, and the particle sizes of proppant 1 and proppant 2 are R 1 = 0.5mm, R 2 =0.4mm, the Poisson’s ratio of rock formation and proppant are both 0.2, the elastic modulus of proppant is 1500MPa, the elastic modulus of rock formation is 5000MPa, and the closure pressure is 20MPa, 40MPa, 60MPa, 80MPa, 100MPa, 120MPa.
[0062] The results of the variation of fracture conductivity with closure pressure are as follows: Figure 5 shown. from Figure 5 It can be seen that the fracture conductivity decreases with the increase of closure pressure.
Embodiment 3
[0064] The initial fracture width is 2mm, 3mm, 4mm, 5mm, and the closure pressure is 50MPa, 60MPa, 70MPa, 80MPa, 90MPa. The rest of the parameters are consistent with those in Example 2. The fracture conductivity varies with the initial fracture width and closure pressure. Such as Image 6 shown. from Image 6 It can be seen that the distances between the four curves shown in the figure are approximately equal, which is directly related to the value of the initial fracture width; the fracture conductivity increases with the increase of the initial fracture width, and with the increase of the closure stress And decrease, approximate linear relationship. The reason is: when the fracture width is constant, as the closure stress increases, the proppant embedding will increase, the remaining fracture width will decrease, and the fracture conductivity will decrease; , with the increase of the initial fracture width, the deformation amount of proppant and rock formation and the am...
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