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The juncture of ocean and continent. Find the depth h of the ocean using the level of-compensation technique presented.

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Let's split the figure into two parts, the left side where the pressure is the sum of pressures of all three materials, and the right side where the pressure depends only on the crust.

According to Bernoulli's equation, p=p0+ρgh+12ρv2p=p_0+\rho\cdot g\cdot h+\frac{1}{2}\cdot \rho v^2, for v=0v=0, dc=12kmd_c=12\text{km} and d=20kmd=20\text{km} we have

pl=p0+ρwgh+ρmg(dhdc)+ρcgdcpr=p0+ρcgd\begin{aligned} &p_l=p_0+\rho_w\cdot g\cdot h+\rho_m\cdot g\cdot (d-h-d_c)+\rho_c\cdot g\cdot d_c\\ &p_r=p_0+\rho_c\cdot g\cdot d \end{aligned}

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