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Improve decline curve docs.
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kriben committed Jun 9, 2023
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Expand Up @@ -39,6 +39,9 @@ Based on the value of $b$ in the function, Arps classified the decline curves in
- The harmonic decline has $b = 1$.
- The hyperbolic decline has $b$ ranges between 0 and 1.

It is important to note that the decline curve is an empirical model and assumes a simplified representation of the complex physical and geological factors affecting production decline.


## Rate-Time Decline Curves


Expand All @@ -50,6 +53,8 @@ $$q_0 = q_i e^{-Dt }$$

### Hyperbolic Decline

Hyperbolic decline is the generic case where $ 0 < b < 1 $.

$$q_0 = \frac{q_i}{ (1+bD_i t )^\frac{1}{b} }$$

### Harmonic Decline
Expand All @@ -71,6 +76,8 @@ $$N_p = \frac{q_i - q_0}{D}$$

### Hyperbolic Decline

Hyperbolic decline is the generic case where $ 0 < b < 1 $.

$$N_p = \frac{q_i^b}{D_i(1-b)} [q_i^{(1-b)} - q_0^{(1-b)}]$$

### Harmonic Decline
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