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Please write out by hand the solution to this code:dp/dz + dp/dt = Kp * d^2x/2Eq.2:515075 * x^50Kp = K * (ge * (p - Po))and p = constantsWhere, Po, here is the reference pressure which is usually given by the initial pressure of the reservoir. Given the simplification, Ko is computed as AKx B A = Face block area in x-direction. The Initial pressure of the reservoir is given by Initial pressure of the reservoir p = 3000 psia. The boundary conditions are given by the no-flow BC at the end blocks and by assuming the reservoir is being produced with the following conditions: Well in Block I produces at a rate of Well pressure in Block 4 19900t = 0 p = 3.600 psia. The block and fluid properties are: Grid Block Reservoir Reservoir Fluid length width Fluid Formation Thickness Reservoir viscosity Permeability Volume Factor x (w) (h) Permeability (B) constants 400 ft (K 200 [ft] 80 [f] 0.5 [cp] B = 1 K(p) K = 60 md [res bbl/STB] = KoeBp - Po = 1e-6Specifically, your tasks are:1. Use the finite difference method to simulate fluid flow in the reservoir as depicted in Fig.4.2. Write by hand the solution of the pressure for each grid block in Fig.4. You will use these solutions to verify your codes developed below.

Texts: Complete the following exercises. (Assume g = 9.80 m/s^2.)a) A small block is released from rest at a height of 3.21 m above the ground and moves downward in free fall.i) How long does it take the block to reach the ground?ii) What is the speed of the block just before it strikes the ground?b) A frictionless incline is 5.00 m long, the distance from the top of the incline to the bottom, measured along the incline. The vertical distance from the top of the incline to the bottom is 3.21 m. A small block is released from rest at the top of the incline and slides down the incline.i) How long does it take the block to reach the ground?ii) What is the speed of the block just before it strikes the ground?c) How do the answers in part b compare to the answers in part a? Select all that apply. (Speeds are considered approximately equal if they are within 5% of each other.)- The speeds are approximately equal.- It takes the block in a longer to reach the ground.- The speed of the block in a is greater.- It takes the block in b longer to reach the ground.- The speed of the block in b is greater.Additional Materials:

Texts: 2.2350/07282330 ptsThe force of the current in Penelope the platypus's river can be described by the vector field F = 2x + tan(y)i + rsec(y)j. Penelope swims first along the curve C1 to the base of a waterfall, then later returns along the curve C2, with C2 being the line segment from (2,-1) to (2,1).a) 10 ptsDirectly calculate the work done by the current on Penelope along C2 by evaluating an appropriate line integral.b) 10 ptsFind the potential function of F.c) 5 ptsUsing a theorem from Calculus 3, determine the work done by the current on Penelope along C2.d) 5 ptsDetermine the total work done by the current along the union of the two paths: C = C1 ∪ C2.

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