...
| LaTeX Math Block |
|---|
| q(t)=q_0 \cdot \exp \left[ -D_0 \cdot \left( t+ \frac{a \cdot t^{n+1}}{n+1} \right) int_0^t D(Q(t)) \, dt \right] |
|
| LaTeX Math Block |
|---|
| D(tQ) = D_0 \cdot ( 1 + a\cdot t^n {\rm ANN}(Q) |
|
where
| Initial production rate of a well (or groups of wells) |
| D_0 > 0 | |
| model parameter characterizing production decline |
| model parameter characterizing production decline |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle D(t) =- \frac%7Bdq%7D%7BdQ%7D |
|---|
|
| Production decline rate |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle Q(t)=\int_0%5et q(t) dt |
|---|
|
| cumulative production |
| LaTeX Math Inline |
|---|
| body | --uriencoded--%7B\rm ANN%7D(Q) |
|---|
|
| artificial neural-network regression of Production decline rate on cumulative production |
DCA ANNDCA Power Law decline is an empirical correlation for production from both finite-reserves | LaTeX Math Inline |
|---|
| body | --uriencoded--Q_%7B\rm max%7D \leq \infty |
|---|
|
or infinite-reserves | LaTeX Math Inline |
|---|
| body | --uriencoded--Q_%7B\rm max%7D = \infty |
|---|
|
reservoir.
Alternative form
...
reservoirs.
:
| LaTeX Math Block |
|---|
|
q(t)=q_0 \cdot \exp \left( -D_{\infty}t- \left( t/\tau \right)^{n} \right) |
where
...
...
decline decrement at long times (the higher the
the stronger is decline)See Also
...
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Decline Curve Analysis
[ DCA Arps @model ] [ Production decline rate ]
...
