Неоднородный пласт
| LaTeX Math Inline |
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| body | \frac{k}{\mu} = \frac{k}{\mu} \big( x, \, y, \, z \big) |
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| LaTeX Math Block |
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| c_t \phi \, \frac{\partial p}{\partial t} = \frac{\partial }{\partial x} \bigg( \frac{k}{\mu} \, \frac{\partial p}{\partial x} \bigg) + q(t, x) |
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| LaTeX Math Block |
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| c_t \phi \, \frac{\partial p}{\partial t} = \frac{1}{r} \frac{\partial }{\partial r} \bigg( \frac{k}{\mu} \, r \, \frac{\partial p}{\partial r} \bigg) + q(t, r) |
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| LaTeX Math Block |
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| c_t \phi \, \frac{\partial p}{\partial t} = \bigg[ \frac{\partial }{\partial x} \bigg( \frac{k}{\mu} \, \frac{\partial p} {\partial x} \bigg) +
\frac{\partial }{\partial y} \bigg( \frac{k}{\mu} \, \frac{\partial p} {\partial y}\bigg)
\bigg] + q(t, x) |
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| LaTeX Math Block |
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| c_t \phi \, \frac{\partial p}{\partial t} = \bigg[ \frac{\partial }{\partial x} \bigg( \frac{k}{\mu} \, \frac{\partial p} {\partial x} \bigg) +
\frac{\partial }{\partial y} \bigg( \frac{k}{\mu} \, \frac{\partial p} {\partial y} \bigg)
+
\frac{\partial }{\partial z} \bigg( \frac{k}{\mu} \, \frac{\partial p} {\partial z}\bigg)
\bigg] + q(t, x) |
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Однородный пласт
| LaTeX Math Inline |
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| body | \frac{k}{\mu} = \rm const |
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| LaTeX Math Block |
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| \frac{\partial p}{\partial t} = \chi \, \frac{\partial^2 p }{\partial x^2} + \frac{1}{\phi c_t} q(t, r) |
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| LaTeX Math Block |
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| \frac{\partial p}{\partial t} = \chi \, \frac{1}{r} \frac{\partial }{\partial r} \bigg(r \, \frac{\partial p}{\partial r} \bigg) + \frac{1}{\phi c_t} q(t, r) |
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| LaTeX Math Block |
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| \frac{\partial p}{\partial t} = \chi \, \bigg( \frac{\partial^2 p }{\partial x^2}
+\frac{\partial^2 p }{\partial y^2} \bigg)+ \frac{1}{\phi c_t} q(t, r) |
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| LaTeX Math Block |
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| \frac{\partial p}{\partial t} = \chi \, \bigg( \frac{\partial^2 p }{\partial x^2}
+\frac{\partial^2 p }{\partial y^2}
+\frac{\partial^2 p }{\partial z^2}
\bigg)+ \frac{1}{\phi c_t} q(t, r) |
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