Advanced Production Decline Analysis and Application by Hedong Sun

By Hedong Sun

In fresh years, construction decline-curve research has turn into the main regular software within the for oil and gasoline reservoir creation research. notwithstanding, such a lot curve research is finished via machine at the present time, selling a "black-box" method of engineering and leaving engineers with little heritage within the basics of decline research. Advanced creation Decline research and Application starts off from the elemental inspiration of complicated construction decline research, and carefully discusses numerous decline equipment, comparable to Arps, Fetkovich, Blasingame, Agarwal-Gardner, NPI, temporary, lengthy linear move, and FMB. a realistic systematic advent to every approach is helping the reservoir engineer comprehend the actual and mathematical versions, resolve the kind curves and fit up research, examine the procedures and examples, and reconstruct the entire examples via hand, giving solution to grasp the basics in the back of the software program. An appendix explains the nomenclature and significant equations, and as an additional bonus, on-line computing device courses can be found for obtain.

  • Understand the main complete and present record of decline tools, together with Arps, Fetkovich, Blasingame, and Agarwal-Gardner
  • Gain specialist wisdom with rules, strategies, real-world instances and box examples
  • Includes on-line downloadable computing device courses on Blasingame decline style curves and normalized pseudo-pressure of gasoline wells

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123) As to harmonic decline, based on Eq. 124) Based on Eq. 10. 10 Arps dimensionless decline flow rate integral vs. 126) Substituting Eq. 112) into Eq. 128) Rearranging Eq. 129) t Dd t Dd ∫q Dd (τ )dτ − qDd (t Dd ) 0 Substituting Eq. 119) into Eq. 130) As to the exponential decline, based on Eq. 131) Based on Eq. 132) Arps Decline Curves Analysis 57 As to the hyperbolic decline, based on Eq. 133) Based on Eq. 134) As to the harmonic decline, based on Eq. 135) Based on Eq. 11. 11 Arps dimensionless decline flow rate integral derivative vs.

36) Based on Eq. 6 Modified hyperbolic decline curves. 41) when D ≤ Dlim If Eq. 32) is directly integrated, the cumulative production equation can also be derived. Based on Eq. 43) When b = 1, based on Eq. 23), Eq. 32) is directly integrated. 6 Fluid in Place and Drainage Area If the ultimate recoverable volume of a single well is given, the reserves and area can be estimated based on the material balance principle. 52) The a1, a2, and a3 in Eq. 48), Eq. 49), and Eq. 52) are the conversion factors under different unit systems, respectively.

71) is converted to qi q= 1b (1 + bDi t ) Eq. 72) is the hyperbolic decline equation. 73) Substituting Eq. 73) into Eq. 74) Integrating Eq. 75) Substituting Eq. 75) into Eq. 76) Obviously, α a1 e − b1Sw = qi Let Di = a1 b1 α B − b1Swc e Vϕ Eq. 77) Eq. 72) is the harmonic decline equation. 78) Arps Decline Curves Analysis 47 Differentiating Eq. 79) The left of Eq. 79) is the instantaneous producing rate of the oil well; then Eq. 80) Based on the rate equation of steady flow Eq. 82) As to constant BHFP production state, the differential of Eq.

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