Difference between revisions of "Reciprocal Rate Method"

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(Math & Physics)
(Math & Physics)
Line 20: Line 20:
 
:<math> P_i - \bar{P} = m_{mb} N_p</math>, is pressure drop due to depletion defined by the [[Oil Material Balance]] for black oil at P>P<sub>b</sub>,
 
:<math> P_i - \bar{P} = m_{mb} N_p</math>, is pressure drop due to depletion defined by the [[Oil Material Balance]] for black oil at P>P<sub>b</sub>,
  
:<math> \bar{P}-P_{wf} = 141.2 q_o \mu_o B_o</math>, is pressure drop due to [[Darcy's law]]
+
:<math> \bar{P}-P_{wf} = /frac{141.2 q_o \mu_o B_o}{k_o h J_D}</math>, is pressure drop due to [[Darcy's law]]
  
 
==Discussion==
 
==Discussion==

Revision as of 20:20, 28 May 2018

Brief

Reciprocal Rate Method - is the method to estimate oil Wells and Reservoirs EUR using only rate-time production data[1] published in 2007 by Thomas Blasingame et al.

The methodology does presume that flowing well bottomhole pressures are approximately constant[1].

The interpretation technique is fitting the data points with the straight line to estimate the slope which gives EUR.

ReciprocalRateMethod.png

Reciprocal Rate Method in the E&P Portal

Math & Physics

The total pressure drop at the wellbore is:

 \Delta P =P_i - P_{wf} = (P_i - \bar{P}) + (\bar{P}-P_{wf})

Where

 P_i - \bar{P} = m_{mb} N_p, is pressure drop due to depletion defined by the Oil Material Balance for black oil at P>Pb,
 \bar{P}-P_{wf} = /frac{141.2 q_o \mu_o B_o}{k_o h J_D}, is pressure drop due to Darcy's law

Discussion

Reciprocal Rate Method can be applied to estimate:

Case Study

This Case Study demonstrates the application of the Oil Flowing Material Balance engineering technique using the E&P Portal.

The Study is based on the oil well from a field in West Siberia, Russia.

It is shown how to:

  • Input the data to the E&P Portal;
  • Apply the Oil FMB to estimate the well's STOIIP and JD;
  • Save and export the analysis results.

All the input data is attached to the Case Study for the reference.

OilFMB Case Study.png

Download Case Study (pdf)

Download the input well production data (csv)

Workflow

  1. Upload the data required
  2. Open the Oil Flowing Material Balance tool here
  3. Estimate the N (red line X-axis intercept)
  4. Calculate the average reservoir pressure  \bar{P} based on N, known production data and using Oil Material Balance equation
  5. Calculate the  {J_D}_{norm}
  6. Calculate the  {N_p}_{norm}
  7. Plot the orange  {J_D}_{norm} vs  {N_p}_{norm} line:
  8. Change the N to match the orange line with the red one
  9. Change the gray JD line Y-axis intercept to match the changing JD
  10. Save the Oil Flowing Material Balance model
  11. Move to the next well

Data required

In case you need to calculate the flowing bottomhole pressure from the wellhead pressure:

In case you want to add the static reservoir pressures on the FMB Plot:

Nomenclature

References

  1. 1.0 1.1 Blasingame, Thomas Alwin; Ilk, Dilhan; Reese, Parker D. (2007). "Estimation of Reserves Using the Reciprocal Rate Method"Free registration required (SPE-107981-MS). Society of Petroleum Engineers.