Rate Integral Function

Introduction

The rate-integral is basically a smoothing function as shown below:

And its derivative is:

As shown by Ilk [2023], the re-calculated rate from the integral and rate integral-derivative function is below:

In the example below, re-calculated rates may provide a better resolution to identify certain decline parameters.

In this additional plot, the re-calculated rate data allows for a better identification of decline parameters

References

• Dr. Dilhan Ilk, A , Survey on Diagnostic Based Methods for Well Performance Analysis and Production Forecasting in Unconventional Reservoir, SPEE Denver Chapter, April 12, 2023