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formatting errors corrected in sphinx document
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doc/sphinx/source/examples/Terzaghi/1D/Terzaghi1D-BC.md

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@@ -12,16 +12,16 @@ with $x\in[0,25]$ meters. Displacement and strain are derived from the pressure,
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#### Boundary conditions:
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- **Dirichlet** at \( x = 0 \): \( p(0,t) = 0 \)
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- **Neumann** at \( x = L \): \( \frac{dp}{dx}(L,t) = 0 \)
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- **Dirichlet** at $x = 0$: $p(0, t) = 0$
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- **Neumann** at $x = L$: $\displaystyle \frac{dp}{dx}(L, t) = 0$
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This corresponds to a domain with **impermeable backing** and **open drainage at the loaded end**.
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#### Numerical Strategy
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- Pressure is initialized to a uniform value \( P_0 = 10 \text{ MPa} \)
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- Pressure is initialized to a uniform value $P_0 = 10\ \mathrm{MPa}$
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- Integration is performed using **Forward Euler**
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- Mimetic MOLE operators:
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- `lap()` for pressure diffusion
@@ -62,17 +62,17 @@ At selected time snapshots (1, 10, 40, 70 hours), the following are printed and
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#### Physical Parameters
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| Parameter | Value | Description |
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|------------------|-------------------------------|-----------------------------------------|
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| \( P_0 \) | 10 MPa | Face load |
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| \( c_f \) | \(1 \times 10^{-4}\) | Diffusivity |
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| \( K \) | \(1 \times 10^{-12} \, \text{m}^2\) | Permeability |
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| \( \mu \) | \(1 \times 10^{-3} \, \text{Pa·s}\) | Dynamic viscosity |
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| \( K_s \) | \(1 \times 10^8 \, \text{Pa}\) | Bulk modulus |
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| \( \alpha \) | 1.0 | Biot coefficient |
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| \( S_s \) | \(1 \times 10^{-5} \, \text{Pa}^{-1}\) | Specific storage coefficient |
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| \( \rho \) | 1000 kg/m³ | Fluid density |
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| \( g \) | 9.81 m/s² | Gravitational acceleration |
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| Parameter | Value | Description |
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|----------:|---------------------------------------|--------------------------------------|
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| $P_0$ | 10 MPa | Face load |
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| $c_f$ | $1\times10^{-4}$ | Diffusivity |
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| $K$ | $1\times10^{-12}\,\mathrm{m}^2$ | Permeability |
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| $\mu$ | $1\times10^{-3}\,\mathrm{Pa\cdot s}$ | Dynamic viscosity |
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| $K_s$ | $1\times10^8\,\mathrm{Pa}$ | Bulk modulus |
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| $\alpha$ | 1.0 | Biot coefficient |
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| $S_s$ | $1\times10^{-5}\,\mathrm{Pa}^{-1}$ | Specific storage coefficient |
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| $\rho$ | $1000\,\mathrm{kg/m^3}$ | Fluid density |
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| $g$ | $9.81\,\mathrm{m/s^2}$ | Gravitational acceleration |
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