...
The above equations are valid for both producers producers
and injectors
.
| Expand |
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| Panel |
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| borderColor | wheat |
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| bgColor | mintcream |
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| borderWidth | 7 |
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| LaTeX Math Block |
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| p_{wf, 1} = p_{wf} = p_1 - q_1/J_1 |
| LaTeX Math Block |
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| p_{wf,2} = p_{wf} + \delta p_2 = p_2 - q_2/J_2 |
This leads to | LaTeX Math Block |
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| q_1 = J_1 \cdot (p_1 - p_{wf}) |
| LaTeX Math Block |
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| q_2 = J_2 \cdot (p_2 - p_{wf,2}) = J_2 \cdot ((p_2-\delta p_2)- p_{wf}) |
and | LaTeX Math Block |
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| q = q_1 + q_2 = q_1 = J_1 \cdot (p_1 - p_{wf})+ J_2 \cdot ((p_2-\delta p_2)- p_{wf}) |
| LaTeX Math Block |
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| q = - (J_1+J_2)\cdot p_{wf} + J_1 \cdot p_1 + J_2 \cdot (p_2-\delta p_2) |
or | LaTeX Math Block |
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| q = J \cdot (p_e - p_{wf}), \ {\rm where} \ J = J_1 + J_2 \ {\rm and} \ p_e = J^{-1} \cdot (J_1 \cdot p_1 + J_2 \cdot (p_2-\delta p_2)) |
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