Method for determining consistency coefficient of power-law cement grout

Abstract

A method for determining a consistency coefficient of a power-law cement grout includes: determining a water-cement ratio of the power-law cement grout; according to engineering practice requirements, determining a time required to determine the consistency coefficient of the power-law cement grout; and obtaining the consistency coefficient of the power-law cement grout. The method is accurate and reliable, requires less calculation, etc.; and has very high practical value and popularization value in environmental protection and ecological restoration.

Claims

1. A method for determining a consistency coefficient of a power-law cement grout, comprising the following steps: determining a water-cement ratio ? of the power-law cement grout, wherein the water-cement ratio ? of the power-law cement grout is expressed by the following formula: $?=\frac{m_w}{m_c},m_w$ represents a mass of water required to prepare the power-law cement grout, and m.sub.c represents a mass of cement required to prepare the power-law cement grout; determining, according to engineering practice requirements, a time t required to determine the consistency coefficient c of the power-law cement grout; and obtaining the consistency coefficient c of the power-law cement grout based on a quantitative change rule between a comprehensive effect of the water-cement ratio ? and the time t and an influential effect of the comprehensive effect on the consistency coefficient c of the power-law cement grout, wherein the consistency coefficient c is expressed by the following formula: c=0.0387?.sup.?6.610e.sup.(0.000270+0.000141?)t, e represents a base of natural logarithm, and ??(0.50, 0.75).

Description

BRIEF DESCRIPTION OF DRAWINGS

(1) In order to more clearly illustrate technical solutions of embodiments of the disclosure, attached drawings that need to be used in the embodiments are briefly described below. It should be understood that the following attached drawings only illustrate some specific embodiments of the disclosure, and are therefore not to be considered as limiting the scope of the protection of the disclosure. Therefore, for those skilled in the related art, other relevant drawings can be obtained based on these attached drawings without creative labor.

(2) FIG. 1 illustrates a comparison diagram between theoretical values and test measured values of consistency coefficients of a power-law cement grout according to embodiments 1-3 of the disclosure.

(3) FIG. 2 illustrates a comparison diagram between theoretical values and test measured values of consistency coefficients of a power-law cement grout according to embodiments 4-6 of the disclosure.

DETAILED DESCRIPTION OF EMBODIMENTS

(4) In order to make the objective, the technical solutions, and the advantages of the disclosure clearer, the disclosure will be further described below with reference to the attached drawings and the embodiments, and the embodiments of the disclosure include, but are not limited to the following embodiments. All other embodiments obtained by those skilled in the related art based on the embodiments of the disclosure without creative efforts shall fall within the scope of the protection of the disclosure.

(5) In the embodiments, terms and/or are merely an association relationship describing associated objects, and indicate that there may be three schemes. For example, A and/or B may indicate that A exists alone, A and B exist at the same time, and B exists alone.

(6) Terms such as first and second used in the embodiments of the disclosure aim to distinguish different objects, rather than to describe a specific order of an object. For example, a first target object and a second target object are used to distinguish that they are different target objects instead of describing a specific order of the two target objects.

(7) In the embodiments of the disclosure, words such as illustrative or for example are used to describe an example, an illustration, or a description. Any embodiment or technical solution described as illustrative or for example among the embodiments of disclosure should not be construed as being more preferred or more advantageous than other embodiments or technical solutions. Rather, using the terms of illustrative or for example is intended to present related concepts in a particular manner.

(8) In the description of the embodiments of the disclosure, unless otherwise specified, a plurality of means two or more. For example, a plurality of processing units refers to two or more processing units; and a plurality of systems refer to two or more systems.

Embodiment 1

(9) As shown in FIG. 1, the embodiment 1 provides a method for determining a consistency coefficient of a power-law cement grout, and the method specially includes the following steps.

(10) Step 1, a water-cement ratio ? of the power-law cement grout is determined as 0.53, i.e., ?=0.53.

(11) The water-cement ratio ? of the power-law cement grout is determined by the following formula:

(12) $?=\frac{m_w}{m_c}.$

(13) In the embodiment 1, m.sub.w represents a mass of water required to prepare the power-law cement grout, and m.sub.c represents a mass of cement required to prepare the power-law cement grout.

(14) Step 2, according to engineering practice requirements, a time t required to determine the consistency coefficient c of the power-law cement grout is determined as 0 second (s), i.e., t=0 s.

(15) Step 3, the consistency coefficient c of the power-law cement grout is obtained by the following formula:
c=0.0387?.sup.?6.610e.sup.(0.000270+0.000141?)t.

(16) In the foregoing formula, c represents the consistency coefficient of the power-law cement grout (with a unit of pascal.Math.n.sup.th power of second abbreviated as Pa.Math.s.sup.n); ? represents the water-cement ratio of the power-law cement grout (referred to as a dimensionless parameter); t represents the time required to determine the consistency coefficient c of the power-law cement grout (with a unit of s); and e represents a base of a natural logarithm.

(17) It is determined that a theoretical value of the consistency coefficient c of the power-law cement grout in the embodiment 1 is 2.5719 Pa.Math.s.sup.n, and a test measured value c.sub.measured of the consistency coefficient c of the power-law cement grout obtained by using the steps according to the embodiment 1 is 2.3928 Pa.Math.s.sup.n, and a difference between the theoretical value and the test measured value is calculated by

(18) $\frac{\left|c-c_{measured}\right|}{c}?100\%$
and is equal to 6.96%.

Embodiment 2

(19) As shown in FIG. 1, the embodiment 2 provides a method for determining a consistency coefficient of a power-law cement grout, and the method specially includes the following steps.

(20) Step 1, a water-cement ratio ? of the power-law cement grout is determined as 0.53, i.e., ?=0.53.

(21) Step 2, according to engineering practice requirements, a time t required to determine the consistency coefficient c of the power-law cement grout is determined as 2,400 s, i.e., t=2400 s.

(22) Step 3, the consistency coefficient c of the power-law cement grout is determined.

(23) It is determined that a theoretical value of the consistency coefficient c of the power-law cement grout in the embodiment 2 is 5.8825 Pa.Math.s.sup.n, and a test measured value c.sub.measured of the consistency coefficient c of the power-law cement grout obtained by using the steps according to the embodiment 2 is 5.4043 Pa.Math.s.sup.n, and a difference between the theoretical value and the test measured value is calculated by

(24) $\frac{\left|c-c_{measured}\right|}{c}?100\%$
and is equal to 8.13%.

Embodiment 3

(25) As shown in FIG. 1, the embodiment 3 provides a method for determining a consistency coefficient of a power-law cement grout, and the method specially includes the following steps.

(26) Step 1, a water-cement ratio ? of the power-law cement grout is determined as 0.53, i.e., ?=0.53.

(27) Step 2, according to engineering practice requirements, a time t required to determine the consistency coefficient c of the power-law cement grout is determined as 3,300 s, i.e., t=3300 s.

(28) Step 3, the consistency coefficient c of the power-law cement grout is determined.

(29) It is determined that a theoretical value of the consistency coefficient c of the power-law cement grout in the embodiment 3 is 8.0224 Pa.Math.s.sup.n, and a test measured value c.sub.measured of the consistency coefficient c of the power-law cement grout obtained by using the steps according to the embodiment 3 is 7.4269 Pa.Math.s.sup.n, and a difference between the theoretical value and the test measured value is calculated by

(30) $\frac{\left|c-c_{measured}\right|}{c}?100\%$
and is equal to 7.42%.

Embodiment 4

(31) As shown in FIG. 2, the embodiment 4 provides a method for determining a consistency coefficient of a power-law cement grout, and the method specially includes the following steps.

(32) Step 1, a water-cement ratio ? of the power-law cement grout is determined as 0.68, i.e., ?=0.68.

(33) Step 2, according to engineering practice requirements, a time t required to determine the consistency coefficient c of the power-law cement grout is determined as 420 s, i.e., t=420 s.

(34) Step 3, the consistency coefficient c of the power-law cement grout is determined.

(35) It is determined that a theoretical value of the consistency coefficient c of the power-law cement grout in the embodiment 4 is 0.5775 Pa.Math.s.sup.n, and a test measured value c.sub.measured of the consistency coefficient c of the power-law cement grout obtained by using the steps according to the embodiment 4 is 0.5455 Pa.Math.s.sup.n, and a difference between the theoretical value and the test measured value is calculated by

(36) $\frac{\left|c-c_{measured}\right|}{c}?100\%$
and is equal to 5.54%.

Embodiment 5

(37) As shown in FIG. 2, the embodiment 5 provides a method for determining a consistency coefficient of a power-law cement grout, and the method specially includes the following steps.

(38) Step 1, a water-cement ratio ? of the power-law cement grout is determined as 0.68, i.e., ?=0.68.

(39) Step 2, according to engineering practice requirements, a time t required to determine the consistency coefficient c of the power-law cement grout is determined as 960 s, i.e., t=960 s.

(40) Step 3, the consistency coefficient c of the power-law cement grout is determined.

(41) It is determined that a theoretical value of the consistency coefficient c of the power-law cement grout in the embodiment 5 is 0.7037 Pa.Math.s.sup.n, and a test measured value c.sub.measured of the consistency coefficient c of the power-law cement grout obtained by using the steps according to the embodiment 5 is 0.6696 Pa.Math.s.sup.n, and a difference between the theoretical value and the test measured value is calculated by

(42) $\frac{\left|c-c_{measured}\right|}{c}?100\%$
and is equal to 4.84%.

Embodiment 6

(43) As shown in FIG. 2, the embodiment 6 provides a method for determining a consistency coefficient of a power-law cement grout, and the method specially includes the following steps.

(44) Step 1, a water-cement ratio ? of the power-law cement grout is determined as 0.68, i.e., ?=0.68.

(45) Step 2, according to engineering practice requirements, a time t required to determine the consistency coefficient c of the power-law cement grout is determined as 1,380 s, i.e., t=1380 s.

(46) Step 3, the consistency coefficient c of the power-law cement grout is determined.

(47) It is determined that a theoretical value of the consistency coefficient c of the power-law cement grout in the embodiment 6 is 0.8206 Pa.Math.s.sup.n, and a test measured value c.sub.measured of the consistency coefficient c of the power-law cement grout obtained by using the steps according to the embodiment 6 is 0.7707 Pa.Math.s.sup.n, and a difference between the theoretical value and the test measured value is calculated by

(48) $\frac{\left|c-c_{measured}\right|}{c}?100\%$
and is equal to 6.08%.

(49) Through the above technical solutions, the consistency coefficient c of the power-law cement grout can be accurately and reliably obtained, meets the requirements in the engineering practice, can provide theoretical guidance and technical reference for the engineering practice in environmental protection and ecological restoration, and has very high practical value and popularization value.

(50) The above-mentioned embodiments are merely illustrated embodiments of the disclosure, and are not intended to limit the scope of the protection of the disclosure. Any variations made based on the design principles of the disclosure and without creative labor shall fall within the scope of the protection of the disclosure.