Advanced Production Decline Analysis and Application by Hedong Sun

By Hedong Sun

In contemporary years, construction decline-curve research has turn into the main widespread instrument within the for oil and gasoline reservoir creation research. even if, so much curve research is finished through laptop at the present time, selling a "black-box" method of engineering and leaving engineers with little history within the basics of decline research. Advanced creation Decline research and Application begins from the elemental inspiration of complicated creation decline research, and punctiliously discusses a number of decline tools, resembling Arps, Fetkovich, Blasingame, Agarwal-Gardner, NPI, temporary, lengthy linear movement, and FMB. a realistic systematic advent to every technique is helping the reservoir engineer comprehend the actual and mathematical types, clear up the kind curves and fit up research, learn the methods and examples, and reconstruct the entire examples through hand, giving strategy to grasp the basics at the back of the software program. An appendix explains the nomenclature and significant equations, and as an further bonus, on-line laptop courses can be found for obtain.

  • Understand the main complete and present checklist of decline equipment, together with Arps, Fetkovich, Blasingame, and Agarwal-Gardner
  • Gain specialist wisdom with ideas, techniques, real-world situations and box examples
  • Includes on-line downloadable computing device courses on Blasingame decline sort curves and normalized pseudo-pressure of fuel wells

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122) Based on Eq. 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.

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. 2 Theoretical Fundamentals of Arps Production Decline Arps developed the three production decline equations based on his experience.

27) and Eq. 3 Harmonic decline curves. 1. 4. 4 that the exponential decline is the fastest, but the forecast cumulative production is the lowest; the harmonic decline is the slowest, but the forecast cumulative production is the highest; whereas the hyperbolic decline lies in between them. 1 Arps equations Basic Decline characteristics type Rate–time Rate–cumulative production Di t Q = (qi – q)/Di Dit = ln(qi/q) b = 0 Exponential q = qi e− Di t 0 < b < 1   q 1− b  qi 1 −    Hyperbolic q = qi Q= (1 − b) Di   qi   (1 + bDit)-1/b Di t = b=1 Harmonic Dit = (qi/q) – 1 q = qi (1 + Dit)-1 Q = qiln(qi/q)/Di (qi /q)b − 1 b deviation will occur in the cumulative production trend prediction.

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