In a well site, a directional drilling is planned. The reference points are given in the table below. Depth (m) 1000 200 |(surface) 50 400 600 800 1200 (target) 400 Lateral Offset (m) 200 300 350 375 A) According to this data, design a trajectory for the drilling by using a 6th order interpolation polynomial to estimate the lateral offsets from the well site at given depths. B) Verify the interpolation polynomial at least at two reference points. C) Estimate the lateral offsets from the well site for 300 m and 500 m depths. D) Plot the reference points and the interpolation ploynomial (the trajectory) on the same graph (choose a scale of 1:1).

In a well site, a directional drilling is planned. The reference points are given in the table below. Depth (m) 1000 200 |(surface) 50 400 600 800 1200 (target) 400 Lateral Offset (m) 200 300 350 375 A) According to this data, design a trajectory for the drilling by using a 6th order interpolation polynomial to estimate the lateral offsets from the well site at given depths. B) Verify the interpolation polynomial at least at two reference points. C) Estimate the lateral offsets from the well site for 300 m and 500 m depths. D) Plot the reference points and the interpolation ploynomial (the trajectory) on the same graph (choose a scale of 1:1).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Use linearization to determine an approximation of V1002.

Q: First assume there are three data points (1, 2), (3, 5), and (4, 6). Show that the function of m and…

Q: Which graphic representation could a researcher use to help determine if a continuous variable…

A: The answer is Histogram. Histogram is a graphical representation that indicates the distribution of…

Q: 6) A function y =e-2x is defined numerically for some data range x. It can be entered using: (а) у -…

Q: The marriage rate per 1000 woman for the years 1985-2014 can be modeled by the function 132x + 1000y…

Q: 2. alsa find Levad sudfaces Tenjest plaes h pextial Deivdives Giradient

Q: inferpolatio shápe functions relevant for the 2D rectangular element shown below identifying the…

A: we are given a 2D rectangular element identifying the shape function for each node. we will use…

Q: Altitude (km) 012 3 Temperature ("C) 12 6 4 -3 -9-17-25 4 5 6 Altitude (km) 7 8 9 10 11 12…

A: For the given data : X = Altitude Y = Temperature 0 12 1 6 2 4 3 -3 4 -9 5 -17 6…

Q: A medical research study tracked the heart rate, in Data from Exercise beats per minute, of a…

Q: Much of Trail Ridge Road in Rocky Mountain National Park is over 12,000 feet high. Although it isa…

A: Let X = frequency with which gale-force winds occur in a given time interval. Thus, X~P(λ), where λ…

Q: Calculate the area of a half-circle with a diameter of 250 mm by using the mid- ordinate rule.

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: 4.

A: The slope of the line passing through the points x1,y1, x2,y2 is m=y2-y1x2-x1

Q: o5B Tuqut_OODL ZIXMBOJ9DKXx0efihl17VB%5D%2C'action 3A'open"%20userid341042 Trini Ends In 54 Days In…

Q: If the maximum horizontal range of a particle is R, show that the greatest height attained is R. A…

Q: The temperature of a potato in an oven is currently 130°F and is increasing by 2.8 degrees per…

Q: -) Glacial Retreat. In 2014, Shakes Glacier had a length of 8530 feet but its terminus (the end of…

A: Note : As per the authoring guidelines, when multiple subparts are posted, then only first three…

Q: 1) Calculate the new radius of the satellite if (10)^10 Joules of energy are added to it. (It is…

A: As 5 questions are given, I will only do the first question, We are given Energy= 1010J…

Q: An object weighting w pounds on the surface of the earth, will weight wR² W(x)=² x2 R. at distance z…

Q: I need help with finding constants and coefficients for the equation of y hat. Please make sure to…

A: Using excel:We will get the value of coefficient:ŷ=86+(-16)x1+2.42x2+1.83x3+3.07x4

Q: Generate 50 data from a Gamma dist with shape =3, and rate=5

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: Use logarithmic differentiation to find the derivative of the function. y = x7 cos(x) Step 1 Using…

A: Here, the given function is: y=x7 cos x⇒ln y=7cos x ln x

Q: (a) Make a scatter diagram of the data. (b) Use the regression feature of a calculator to find the…

A: Hey! Thanks for the question. Since we only answer up to three sub parts, we will solve first three.…

Q: Consider that the relation between the cost of production, the lot of size production and the number…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

Question

In a well site, a directional drilling is planned. The reference points are given in the table
below.
Depth (m)
200
400
600
800
1000
1200
(surface)
(target)
400
Lateral
50
200
300
350
375
Offset (m)
A) According to this data, design a trajectory for the drilling by using a 6th order interpolation
polynomial to estimate the lateral offsets from the well site at given depths.
B) Verify the interpolation polynomial at least at two reference points.
C) Estimate the lateral offsets from the well site for 300 m and 500 m depths.
D) Plot the reference points and the interpolation ploynomial (the trajectory) on the same
graph (choose a scale of 1:1).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Frequency Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

1.Tukey HSD analysis has the function similar to Duncan MRT analysis.a)Explain on the TWO main function of Tukey HSD analysis. b)Explain on why Tukey HSD analysis not involving any hypothesis.
As part of a study at a large university, data were collected on n = 224 freshmen computer science (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): X 1= average high school grade in mathematics (HSM) X 2 = average high school grade in science (HSS) X 3 = average high school grade in English (HSE) X 4 = SAT mathematics score (SATM) x 5 = SAT verbal score (SATV) A first-order model was fit to the data with the following results: SOURCE DF MS F VALUE PROB>F MODEL 28.64 5.73 11.69 0001 ERROR 218 106 82 0.49 TOTAL 223 135.46 ROOT MSE DEP MEAN 0.700 R-SQUARE 0.211 4.635 ADJ R-SQ 0.193 PARAMETER STANDARD T FOR O VARIABLE ESTIMATE ERROR PARAMETER -0 PROB> ITI INTERCEPT 2.327 0.039 5.817 0.0001 0.0003 XI HSM) X2 (HSS) X3 (HSE) X4 (SATM) X5 (SATV) 0.146 0.037 3.718 a.036 0.038 0.950 0.3432…
MATLAB
Approximate f(4) for the following set of data using cubic spline: [0, 1], [3, 2], [8, 3]