{"id":1911,"date":"2019-07-05T00:13:35","date_gmt":"2019-07-04T23:13:35","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=1911"},"modified":"2024-03-06T17:10:12","modified_gmt":"2024-03-06T16:10:12","slug":"how-to-calculate-and-solve-for-diffusivity-constant-well-testing","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/07\/05\/how-to-calculate-and-solve-for-diffusivity-constant-well-testing\/","title":{"rendered":"How to Calculate and Solve for Diffusivity Constant | Well Testing"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the diffusivity constant. To calculate the diffusivity constant, four essential parameters are needed, and these parameters are permeability (k), porosity (\u03c6), viscosity (\u03bc) and total compressibility (CT<\/sub>).<\/strong><\/p>\n

The formula for calculating diffusivity constant:<\/p>\n

\u03b7 =\u00a00.000263k<\/sup> \/ \u03c6\u03bcCT<\/sub><\/sub><\/p>\n

Where;<\/p>\n

\u03b7 = Diffusivity Constant
\nk = Permeability
\n\u03c6 = Porosity
\n\u03bc = Viscosity
\nCT<\/sub>\u00a0= Total Compressibility<\/p>\n

Let’s solve an example;
\nFind the diffusivity constant where the permeability is 12, porosity is 9, viscosity is 7, and total compressibility is 11.<\/p>\n

This implies that;<\/p>\n

k = Permeability = 12
\n\u03c6 = Porosity = 9
\n\u03bc = Viscosity = 7
\nCT<\/sub> = Total Compressibility = 11<\/p>\n

\u03b7 =\u00a00.000263k<\/sup> \/ \u00a0\u03c6\u03bcCT<\/sub><\/sub>
\n\u03b7 =\u00a00.000263 x 12<\/sup> \/ 9 x 7 x 11<\/sub>
\nThen, \u03b7 = 0.003156<\/sup> \/ 693<\/sub>
\n\u03b7 = 0.000004554112554112554<\/p>\n

Therefore, the\u00a0diffusivity constant\u00a0<\/strong>is 0.000004554112554112554<\/strong>.<\/p>\n

Calculating the Permeability when the Diffusivity Constant, Porosity, Viscosity and Total Compressibility are Given<\/strong><\/h3>\n

k = n x \u03c6\u03bcCT<\/sub><\/sup> \/ 0.000263<\/sub><\/p>\n

Where;<\/p>\n

k = Permeability
\n\u03b7 = Diffusivity Constant
\n\u03c6 = Porosity
\n\u03bc = Viscosity
\nCT<\/sub>\u00a0= Total Compressibility<\/p>\n

Let’s solve an example;
\nFind the permeability where the diffusivity constant is 24, porosity is 10, viscosity is 5 and total compressibility is 13.<\/p>\n

This implies that;<\/p>\n

\u03b7 = Diffusivity Constant = 24
\n\u03c6 = Porosity = 10
\n\u03bc = Viscosity = 5
\nCT<\/sub> = Total Compressibility = 13<\/p>\n

k = n x \u03c6\u03bcCT<\/sub><\/sup> \/ 0.000263<\/sub>
\nSo, k = 24 x 10 x 5 x 13<\/sup> \/ 0.000263<\/sub>
\nk = 15600<\/sup> \/ 0.000263<\/sub>
\nk = 59315589.3536<\/p>\n

Therefore, the permeability<\/strong> is 59315589.3536<\/strong>.<\/p>\n

Calculating the Porosity when the Diffusivity Constant, Permeability, Viscosity and Total Compressibility are Given<\/strong><\/h3>\n

\u03c6 = 0.000263k<\/sup> \/ n\u03bcCT<\/sub><\/sub><\/p>\n

Where;<\/p>\n

\u03c6 = Porosity
\nk = Permeability
\n\u03b7 = Diffusivity Constant
\n\u03bc = Viscosity
\nCT<\/sub>\u00a0= Total Compressibility<\/p>\n

Let’s solve an example;
\nFind the porosity where the diffusivity constant is 28, permeability is 8, viscosity is 12 and total compressibility is 18.<\/p>\n

This implies that;<\/p>\n

k = Permeability = 8
\n\u03b7 = Diffusivity Constant = 28
\n\u03bc = Viscosity = 12
\nCT<\/sub> = Total Compressibility = 18<\/p>\n

\u03c6 = 0.000263k<\/sup> \/ n\u03bcCT<\/sub><\/sub>
\nThat is, \u03c6 = 0.000263 x 8<\/sup> \/ 28 x 12 x 18<\/sub>
\n\u03c6 = 0.002104<\/sup> \/ 6048<\/sub>
\n\u03c6 = 3.478e-7<\/p>\n

Therefore, the\u00a0porosity\u00a0<\/strong>is\u00a03.47e-7.<\/strong><\/p>\n

<\/p>\n

Calculating the Viscosity when the Diffusivity Constant, Permeability, Porosity and Total Compressibility are Given<\/strong><\/h3>\n

\u03bc = 0.000263k<\/sup> \/ n\u03c6CT<\/sub><\/sub><\/p>\n

Where;<\/p>\n

\u03bc = Viscosity
\nk = Permeability
\n\u03b7 = Diffusivity Constant
\n\u03c6 = Porosity
\nCT<\/sub>\u00a0= Total Compressibility<\/p>\n

Let’s solve an example;
\nFind the viscosity where the diffusivity constant is 30, permeability is 15, porosity is 6 and total compressibility is 21.<\/p>\n

This implies that;<\/p>\n

k = Permeability = 15
\n\u03b7 = Diffusivity Constant = 30
\n\u03c6 = Porosity = 6
\nCT<\/sub> = Total Compressibility = 21<\/p>\n

\u03bc = 0.000263k<\/sup> \/ n\u03c6CT<\/sub><\/sub>
\n\u03bc = 0.000263 x 15<\/sup> \/ 30 x 6 x 21<\/sub>
\nThen, \u03bc = 0.003945<\/sup> \/ 3780<\/sub>
\n\u03bc = 1.04e-6<\/p>\n

Therefore, the\u00a0viscosity\u00a0<\/strong>is\u00a01.04e-6.<\/strong><\/p>\n

Calculating the Total Compressibility when the Diffusivity Constant, Permeability, Porosity and Viscosity are Given<\/strong><\/h3>\n

CT<\/sub> = 0.000263k<\/sup> \/ n\u03c6\u03bc<\/sub><\/p>\n

Where;<\/p>\n

CT<\/sub>\u00a0= Total Compressibility
\nk = Permeability
\n\u03b7 = Diffusivity Constant
\n\u03c6 = Porosity
\n\u03bc = Viscosity<\/p>\n

Let’s solve an example;
\nFind the total compressibility where the diffusivity constant is 19, permeability is 14, porosity is 11 and\u00a0 viscosity is 4.<\/p>\n

This implies that;<\/p>\n

k = Permeability = 14
\n\u03b7 = Diffusivity Constant = 19
\n\u03c6 = Porosity = 11
\n\u03bc = Viscosity = 4<\/p>\n

CT<\/sub> = 0.000263k<\/sup> \/ n\u03c6\u03bc<\/sub>
\nCT<\/sub> = 0.000263 x 14<\/sup> \/ 19 x 11 x 4<\/sub>
\nSo, CT<\/sub> = 0.0003682<\/sup> \/ 836<\/sub>
\nCT<\/sub> = 4.04e-7<\/p>\n

Therefore, the\u00a0total compressibility\u00a0<\/strong>is\u00a04.04e-7.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Stokes-Einstein Equation of Diffusivity | Mass Transfer<\/a><\/p>\n

How to Calculate Diffusivity Constant Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the diffusivity constant.<\/p>\n

To get the answer and workings of the diffusivity constant using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 1,500\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Petroleum\u00a0<\/strong>under\u00a0Engineering<\/strong><\/p>\n

\"How<\/p>\n

Now, Click on Well Testing<\/strong>\u00a0<\/strong>under\u00a0Petroleum<\/strong><\/p>\n

\"How<\/p>\n

Now, Click on\u00a0Diffusivity Constant\u00a0<\/strong>under\u00a0Well Testing<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your value, to get the answer for the\u00a0diffusivity constant according to the respective parameter which are the pemerability (k), porosity (\u03c6), viscosity (\u03bc) and total compressibility (CT<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the value appropriately and accordingly for the parameter as required by the pemerability (k)<\/strong> is 12<\/strong>, porosity (\u03c6)<\/strong> is 9<\/strong>, viscosity (\u03bc)<\/strong> is\u00a07<\/strong> and total compressibility (CT<\/sub>)\u00a0<\/strong>is\u00a011.<\/strong><\/p>\n

\"\"<\/p>\n

Finally, Click on Calculate<\/p>\n

\"\"
\n\"\"<\/p>\n

As you can see\u00a0from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the diffusivity constant and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the diffusivity constant. To calculate the diffusivity constant, four essential parameters are needed, and…","protected":false},"author":5,"featured_media":13016,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Diffusivity Constant Well Testing","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn the step by steps on how to accurately calculate and Solve for Diffusivity Constant | Well Testing using Nickzom 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