Fig. 1 Top view of butterfly model (modified from Ref. [ 9 ]) depicts the reservoir with a uniform thickness throughout: ( a ) represents the configuration of a horizontal well within the complex fracture network, ( b ) represents the drainage area of a single fragment, and ( c ) represents the re... More about this image found in Top view of butterfly model (modified from Ref. [ 9 ]) depicts the reservoi...

Fig. 2 Model solution flowchart More about this image found in Model solution flowchart

Fig. 3 Planar fracture swarm model equivalent to complex fracture network in tight reservoirs. The flow dimension parameters are ( a ) 0.35 and ( b ) 0.4, respectively. The horizontal line represents the horizontal well, and the perpendicular lines are planer fractures. More about this image found in Planar fracture swarm model equivalent to complex fracture network in tight...

Fig. 19 ( a ) The schematic diagram of characteristic flow volume and ( b ) comparison of the theoretical calculation results and superposition results (modified from Ref. [ 47 ]) More about this image found in ( a ) The schematic diagram of characteristic flow volume and ( b ) compari...

Fig. 4 The two-phase ( a ) oil–water and ( b ) gas–liquid relative permeability curves for a water-wet rock More about this image found in The two-phase ( a ) oil–water and ( b ) gas–liquid relative permeability cu...

Fig. 5 PVT data used in simulation models: ( a ) viscosity for oil and gas, gas–oil ratio and ( b ) volume factor for oil and gas More about this image found in PVT data used in simulation models: ( a ) viscosity for oil and gas, gas–oi...

Fig. 6 Relationships of ( a ) pressure and saturation for ( b ) oil, ( c ) gas, and ( d ) water with respect to modified Boltzmann variable More about this image found in Relationships of ( a ) pressure and saturation for ( b ) oil, ( c ) gas, an...

Fig. 7 Relationships for ( a ) oil saturation and ( b ) gas saturation with pressure More about this image found in Relationships for ( a ) oil saturation and ( b ) gas saturation with pressu...

Fig. 8 Comparisons between the numerical solution and the semi-analytical model: ( a ) and ( b ) the validation of oil, gas, and water rates and cumulative production for case with flow dimension parameter of 0.35 and ( c ) and ( d ) the validation of oil, gas, and water rates and cumulative produ... More about this image found in Comparisons between the numerical solution and the semi-analytical model: (...

Fig. 9 Flowing BHPs and production rates for the synthetic case More about this image found in Flowing BHPs and production rates for the synthetic case

Fig. 10 Plots of RNP′ versus time for the ( a ) oil, ( b ) gas, and ( c ) water (the black curves are standard straight lines with the slope of 0.55) More about this image found in Plots of RNP′ versus time for the ( a ) oil, ( b ) gas, and ( c ) water (th...

Fig. 11 Plots of versus power-law time for ( a ) oil, ( b ) gas, and ( c ) water More about this image found in Plots of versus power-law time for ( a ) oil, ( b ) gas, and ( c ) water

Fig. 12 Plots of phase rate ( a ) and cumulative productions ( b ) versus time for oil, gas, and water More about this image found in Plots of phase rate ( a ) and cumulative productions ( b ) versus time for ...

Fig. 13 Flowing BHPs and production rates for a quarter-fracture of the field case More about this image found in Flowing BHPs and production rates for a quarter-fracture of the field case

Fig. 14 PVT data of the filed case: ( a ) viscosity for oil and gas, gas–oil ratio and ( b ) volume factor for oil and gas More about this image found in PVT data of the filed case: ( a ) viscosity for oil and gas, gas–oil ratio ...

Fig. 15 Plots of RNP′ versus time for the ( a ) oil, ( b ) gas, and ( c ) water (the black curves are standard straight lines with the slope of 0.6) More about this image found in Plots of RNP′ versus time for the ( a ) oil, ( b ) gas, and ( c ) water (th...

Fig. 16 Plots of RNP versus power-law time for ( a ) oil and ( b ) gas More about this image found in Plots of RNP versus power-law time for ( a ) oil and ( b ) gas

Fig. 17 Cumulative ( a ) oil production and ( b ) oil saturation–pressure for different flow dimension parameters More about this image found in Cumulative ( a ) oil production and ( b ) oil saturation–pressure for diffe...