Recent content by rhcp89

I suppose that you wanted to say: "what is the explanation for why z(x) would change as function of t?" The "z" function must change in time because the well is deepened at constant speed. This forces the depression cone curve to change in time. Because as I said depression cone curve changes...

@Stephen Tashi I edited my previous post so it seems more correct. Could you check it? Yes I know it. It is modification of Dupuit's formula for some specific case. Such formula give you an information of volumetric flow rate ##Q## so you can apply a proper pump that can handle with amount...

This is a velocity of some specific water particles which flow through the specific A area. Speed of this water is constant for that given area. This area has a shape of side surface of the cylinder. The given side surface has a radius of x. EDIT: "x"quantity is neither volumetric flow rate nor...

That drawing was just a draft to give you the idea of the problem and as I said it's completely not in scale.

@Mark44 I don't understand what you mean: I can suppose that you tell me to find the exact formula which must be an approximation of the real depression curve. You suppose it could be cubic spline. But how can I find these ##a_{0},a_{1},a_{2},a_{3}## coefficients If I don't know the real...

@Delta2 No. It's the nature itself :)

@Mark44 Here is the context for this first equation in starter thread: We have open pit mine (to excavate sand). Excavation area is circular with radius of r_{0}Groundwater flows through the sand to excavation area from the height of H Maximum radius of depression cone is RWater level in...

Hello, I would like to is it possible to solve such a differential equation (I would like to know the z(x) function): \displaystyle{ \frac{z}{z+dz}= \frac{(x+dx)d(x+dx)}{xdx}} I separated variables z,x to integrate it some way. Then I would get this z(x) function. My idea is to find such...