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Physical Model
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| Constant rate production | |
mathinlinebody | p(t, x)Homogeneous reservoir | c_t(p) = c_r +c = \rm const | | LaTeX Math Inline |
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| body | \phi(x, p)=\phi =\rm const |
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Infinite boundary | | | | LaTeX Math Inline |
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| body | c_t(p) = c_r +c = \rm const |
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Mathematical Model
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| Expand |
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| \frac{\partial p}{\partial t} = \chi \, \frac{d^2 p}{dx^2} |
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| p(t = 0, x) = p_i |
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| p(t, x \rightarrow \infty ) = p_i |
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| \frac{\partial p(t, x )}{\partial x} \bigg|_{x \rightarrow 0} = \frac{q_t}{\sigma \, d} |
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