Can you calculate the concentration at the end of the well using the 1-D steady advection-dispersion-reaction equation. The given parameters are distance = 200 m, Initial concentration = 10 mg/L, reaction = 0.0062 / day, dispersion = 1.5 m^2/d, and velocity = 0.5 m/d.
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Can you calculate the concentration at the end of the well using the 1-D steady advection-dispersion-reaction equation. The given parameters are distance = 200 m, Initial concentration = 10 mg/L, reaction = 0.0062 / day, dispersion = 1.5 m^2/d, and velocity = 0.5 m/d.
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- (a) A particular soll sample was run thru a stack a sieves and the data shown below was obtained. Find the hydraulic conductivity in (1) gpd/12 (2) m/day (b) This method of estimating K is sufficient for some purposes, but does not glve an accurate figure of the soll's true hydraulic conductivity, even when weighing errors and graphing errors are considered. 10. Why? Cumulative Cumulative weight in grams Pan # # 6 # 8 8. # 12 54 # 16 99 # 20 166 # 40 215 #70 224 Pan 2389) A well is located in a confined aquifer near the intersection of a constant head and impervious boundary. a) Estimate the steady state drawdown in the well for Q=2 ft³ s, rw = 1 ft, distance from the well to stream= 300ft and distance from well to impervious boundary= 150 ft. T = 0.14ft²/s b) Estimate the steady state drawdown at point P located midway between the well and the steam. The angle between the stream and the impervious boundary is 90°The following data for an exploration well of 13,000 ft depth: Hole diameter = 8.1/2 inch Hole depth = 13,000 ft Plastic viscosity = 35 cP Yield point = 25 lb / 100 ft² Mud weight = 13 lb / gal Flow rate = 400 gpm Drill pipe ID = 4.276 in / OD = 5 in Drill collars ID = 2.875 in / OD = 6.5 in / Length = 500 ft Previous casing = 95/8 in / ID = 8.755 in set at 10,000 ft Pump pressure = 3000 psi Surface equipment type = 4 1. According to the above information calculate the following by using the Bingham plastic model and power-law model. • The nozzle sizes • The bottom hole pressure while circulating 2. Compare and discuss the results. Explain which model is more accurate. 3. Compare the two models with Hughes charts. Compare the results of the models and charts with bit hydraulic optimization software given.
- The thickness of a horizontal, confined, homogeneous, isotropic aquifer of infinite areal extent is 30m. A well fully penetrating the aquifer was continuously pumped at a constant rate of 0.1 m³/s for a period of 1 day. The drawdowns given in the table below were observed in a fully penetrating well 90 m from the pumping well. Compute the transmissivity and the storativity by using: a) the Theis method of log-log matching. b) the Cooper-Jacob method of semi-log plotting. [For Part a), you have to first use attached Table to plot the values of W(u) versus 1/u on a log-log graph in the range of 10-9In using a permeameter, it is sometimes convenient to make a “falling -head” test. The horizontal tube is 1 m long and 10 cm in diameter and is filled with sample material. During a test, the upstream head h₁ falls from 200 to 180 cm in 4 hr, while h₂ is held constant at 15 cm. The diameter of the vertical tube in which h₁ is measured is 40 cm. What is the indicated average hydraulic conductivity? Estimate the range between maximum and minimum values of hydraulic conductivity.A sample in a variable head permeameter is 8 cm in diameter and 10 cm high.The permeability of the sample is estimated to be 10 × 10^–4 cm/s. If it is desired that the headin the stand pipe should fall from 24 cm to 12 cm in 3 min., determine the size of the standpipe in cm which should be used. a.1.29 b.5.43 c.3.67 d.4.19In an gas-oil system, the following fluid and sand data are available: h = 12.5 ft , hp = 5 ft Pw= 63.76 lb/ft , po= 47.5 lb/ft3 Bo = 1.1 bbl/STB , µo= 0.73 cp rw = 3 in , re = 1000 ft Ko= 93.5 md Calculate the oil critical rate. using Chaney method.Q-26: A 0.5 m diameter well fully penetrates an unconfined aquifer whose bottom is 150 m below the undisturbed groundwater table. The water is pumped out from the well at a constant rate of 0.1 m³/s. After equilibrium is reached, the drawdown observed in two observation wells at radial distances of 10 m and 50m are respectively 10 m and 5 m. Determine (i) The coefficient of permeability (in m/s) (ii) The drawdown in the well (in m)Question 4.5 A rock sample has a length of 20.32 cm and a diameter of 5 cm. The pressure profile inside the core sample is given below, where nitrogen of viscosity 0.0178 cP is flowing at a constant rate of 55 cm³/s. What is the permeability of the sample if the flow is in accordance with Darcy's law? 450 400 350 - 300 250 - P [psig] 200 150 100 - 50 1 3. 4 7 8 9. Distance from inlet [in] 6In a constant head permeability test the coefficient of permeability, k, was found to be 2.1 x 10-3 m/s. Determine the head measured over a length of the flow of 140 mm, if the sample has a diameter of 100 mm and the flow rate, q, of 150 ml/min. Hint - rearrange the formula used to find k in a constant head test. Convert all values into the same units - i.e. ml/min to mm3/s.Problem (4) The following results have been reported for field pumping test from a well, where the top permeable layer is unconfined and underlain by an impermeable layer, for a steady state condition: m3 q = 0.68 min h, = 5.6m at r, = 60m h, = 5m at r, = 30m Calculate the hydraulic conductivity (cm/s) of the permeable layer.An unconfined aquifer is 10 m thick and is being pumped so that one observation well placed at a distance 76 m shows a drawdown of 0.5 m. On the opposite side of the extraction well is another observation well 100 m from the extraction well, shows a drawdown of 0.3 m. Assume the coefficient of permeability of 50 m/day. a.) What is the discharge f the extraction well? b.) Suppose the well at 100 m from the extraction well is now pumped. Show with a sketch what this will do to the drawdown. c.) Suppose the aquifer sits on an aquaclude that has a slope of 1/100. Show with a sketch what this will do to the drawdown.SEE MORE QUESTIONS