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A well in a very large reservoir has a wellbore radius of 10 cm. The sandstone, with a porosity of 0.25 and 12% (by grain volume) calcite (CaCO3), is to be acidized with a preflush (HCl solution) so as to dissolve all the calcite upto a distance of 1 m from the wellbore. 1 m3 of preflush is able to dissolve 0.082 m3 CaCO3. Assume that the reaction between HCl and CaCO3 is instantaneous.  The minimum preflush volume required per meter of the formation thickness is ______________m3. (rounded-off to two decimal places) 
Correct answer is '4.40 to 5.50'. Can you explain this answer?
Most Upvoted Answer
A well in a very large reservoir has a wellbore radius of 10 cm. The s...
Given data:
- Wellbore radius = 10 cm = 0.1 m
- Porosity of sandstone (ϕ) = 0.25
- Calcite content (Vc) = 12% (by grain volume)
- Volume of preflush required to dissolve 1 m3 of CaCO3 = 0.082 m3

To find:
Minimum preflush volume required per meter of the formation thickness

Solution:
Step 1: Calculation of Calcite Volume:
The volume of calcite (Vc) can be calculated as the product of porosity (ϕ) and calcite content (Vc):
Vc = ϕ * Vc = 0.25 * 0.12 = 0.03 (by total formation volume)

Step 2: Calculation of Preflush Volume:
The preflush volume required per meter of the formation thickness can be calculated using the following formula:
Preflush volume = (Vc * formation thickness) / (volume of preflush required to dissolve 1 m3 of CaCO3)

Given that the distance from the wellbore to dissolve calcite is 1 m, the formation thickness is also 1 m.

Substituting the values:
Preflush volume = (0.03 * 1) / 0.082 = 0.3659 m3/m

Rounded off to two decimal places:
Minimum preflush volume required per meter of the formation thickness = 0.37 m3/m

However, the correct answer is given as '4.40 to 5.50' which is significantly different from the calculated value. There might be an error in the given answer or a missing piece of information in the question.
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A well in a very large reservoir has a wellbore radius of 10 cm. The sandstone, with a porosity of 0.25 and 12% (by grain volume) calcite (CaCO3), is to be acidized with a preflush (HCl solution) so as to dissolve all the calcite upto a distance of 1 m from the wellbore. 1 m3 of preflush is able to dissolve 0.082 m3 CaCO3. Assume that the reaction between HCl and CaCO3 is instantaneous. The minimum preflush volume required per meter of the formation thickness is ______________m3. (rounded-off to two decimal places)Correct answer is '4.40 to 5.50'. Can you explain this answer?
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A well in a very large reservoir has a wellbore radius of 10 cm. The sandstone, with a porosity of 0.25 and 12% (by grain volume) calcite (CaCO3), is to be acidized with a preflush (HCl solution) so as to dissolve all the calcite upto a distance of 1 m from the wellbore. 1 m3 of preflush is able to dissolve 0.082 m3 CaCO3. Assume that the reaction between HCl and CaCO3 is instantaneous. The minimum preflush volume required per meter of the formation thickness is ______________m3. (rounded-off to two decimal places)Correct answer is '4.40 to 5.50'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A well in a very large reservoir has a wellbore radius of 10 cm. The sandstone, with a porosity of 0.25 and 12% (by grain volume) calcite (CaCO3), is to be acidized with a preflush (HCl solution) so as to dissolve all the calcite upto a distance of 1 m from the wellbore. 1 m3 of preflush is able to dissolve 0.082 m3 CaCO3. Assume that the reaction between HCl and CaCO3 is instantaneous. The minimum preflush volume required per meter of the formation thickness is ______________m3. (rounded-off to two decimal places)Correct answer is '4.40 to 5.50'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A well in a very large reservoir has a wellbore radius of 10 cm. The sandstone, with a porosity of 0.25 and 12% (by grain volume) calcite (CaCO3), is to be acidized with a preflush (HCl solution) so as to dissolve all the calcite upto a distance of 1 m from the wellbore. 1 m3 of preflush is able to dissolve 0.082 m3 CaCO3. Assume that the reaction between HCl and CaCO3 is instantaneous. The minimum preflush volume required per meter of the formation thickness is ______________m3. (rounded-off to two decimal places)Correct answer is '4.40 to 5.50'. Can you explain this answer?.
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