Sandcastle Engineering: A Geotechnical Engineer Explains How Water, Air and Sand Create Solid Structures

2022-08-23
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The following essay is reprinted with permission from The Conversation, an online publication covering the latest research.

If you want to understand why some sandcastles are tall and have intricate structures while others are nearly shapeless lumps of sand, it helps to have a background in geotechnical engineering.

As a geotechnical engineering educator myself, I use sandcastles in the classroom to explain how interactions of soil, water and air make it possible to rebuild landscapes after mining metals critical to the energy transition.

Building a sandcastle comes down to the right mix of those three ingredients. Sand provides the structure, but it’s water between the sand grains that provides the force – in this case, suction – that holds the sand together. And without the right amount of air the water would just push the sand grains apart.

Not just any sand

Sand grains, according to the standards body ASTM International’s Unified Soil Classification System, are soil particles having a diameter of 0.003 inches (0.075 mm) to 0.187 inches (4.75 mm). Sands, by definition, have at least half their particles in that range. Silt or clay is soil with particles smaller than sand size. And soil with particles larger than sand size is gravel.

The size of particles, or grains, also determines the way sand looks and feels. The smallest sand grains have a texture almost like powdered sugar. The largest grains are more like the size of small dry lentils.

Most sand will work for building a sandcastle, but the best sand has two characteristics: grains of sand in several different sizes and grains with angular or rough edges. Variation in grain size allows smaller sand grains to fill the pockets, or pores, between the larger sand grains. The result is increased sand strength.

Sand grains that are more angular, with sharp corners on them, lock together better, making the sandcastle stronger. It’s the same reason a pile of angular wooden blocks will stay in a pile, but a pile of marbles will go everywhere.

This is also why, surprisingly, the best sand for sandcastles is not typically found on an island or a coastal beach. More angular grains of sand are usually found closer to mountains, their geologic source. These sand grains have not yet had their edges rounded off by wind and water. Professional sandcastle builders will go so far as to import river sand for their creations.

Finally, the closer together the sand grains are, the stronger the sand will be. Pressing wet sand together tightly, by compaction or tamping, squeezes sand grains together, decreasing the size of pores and increasing the effect water can have. Compaction also increases grain interlocking and, consequently, sand strength.

Water is key

Without water, sand just forms a pile. Too much water and sand flows like liquid. But between dry sand and saturated sand lies a wide range of moisture levels that enable sandcastle construction.

Water is cohesive, meaning that water likes to stick to water. But water also sticks to or climbs up certain surfaces. Look at a half-full glass of water and you will see the water going up the insides of the glass a little. Gravity still holds the water in the glass, but the water is trying to climb up and wet the surface. This tiny power struggle is what makes sandcastles possible.

Right where the air and water meet, there’s surface tension. The air-water interface pulls downward, trying to hold the water together against the competing forces of surface wetting, cohesion and gravity. Surface tension pulls the water together like the taut skin of a balloon. And surface tension also pulls sand grains together.

If the glass were much skinnier, like a straw, the water would rise higher and have more surface tension. The narrower the straw, the higher the water would rise. This phenomenon is called capillarity.

Water behaves the same way in wet sand. The pores, or spaces, between the sand grains are like a bunch of very tiny straws. Water forms tiny bridges between the grains. The water in these bridges is under tension, pulling the grains together by a force we geotechnical engineers call suction stress.

Just enough water

The quantity of water in the sand controls the size and strength of the water bridges. Too little water equals little bridges between the sand grains. More water, and the size and number of bridges grows, increasing the suction holding the sand grains together. The result is perfect sandcastle sand.

Too much water, though, and the suction is too weak to hold the sand together.

A general rule of thumb for building great sandcastles is one part water for every eight parts dry sand. Under ideal conditions in a laboratory, though, with dense sand and zero evaporation, one part water for every one hundred parts dry sand can produce wonders. At a beach, sand with the right moisture level is near the high tide line when the tide is low.

Incidentally, salt from seawater can also be a boon for sandcastle stability. Capillary forces hold sand grains together initially, but capillary water will eventually evaporate, particularly on a windy day. When sea water dries up, salt is left behind. Since the seawater was forming bridges between the grains, the salt crystallizes at these points of contact. In this way, salt can keep a sandcastle standing long after the sand has dried. But be careful not to disturb the salt-bonded sand; it’s brittle and collapsible.

To build a strong sandcastle, compact sand and a little water as tightly as you can. I prefer to create a dense mound and then scoop and carve away to reveal the art within. You can also compact the sand into buckets, cups or other molds, and build from the ground up. Just be sure to get the sand dense, and place the mold on a compacted foundation. Hands make for both a great compaction and carving tool, but a shovel or a seashell will allow for more precision. Have fun, and don’t be afraid to get sandy!

This article was originally published on The Conversation. Read the original article.

参考译文
沙堡工程:一位岩土工程师解释水、空气和沙如何创造固体结构
以下文章经The Conversation授权转载,该在线出版物涵盖了最新的研究。如果你想了解为什么有些沙堡很高,结构复杂,而另一些则是几乎没有形状的沙堡,有岩土工程背景会有所帮助。作为一名岩土工程教育者,我在课堂上用沙堡来解释土壤、水和空气的相互作用是如何使在开采对能源转换至关重要的金属后重建景观成为可能的。建造一个沙堡取决于这三种成分的正确组合。沙子提供了结构,但沙粒之间的水提供了力——在这种情况下,是吸力——将沙子聚集在一起。如果没有适当的空气,水就会把沙粒推开。根据标准机构ASTM国际统一土壤分类系统,沙粒是直径为0.003英寸(0.075毫米)至0.187英寸(4.75毫米)的土壤颗粒。根据定义,沙粒中至少有一半的颗粒在这个范围内。淤泥或粘土是颗粒比沙子小的土壤。颗粒大于沙粒的土壤是砾石。颗粒的大小也决定了沙子的外观和触感。最小的沙粒的质地几乎像糖粉。最大的颗粒更像小扁豆的大小。大多数沙子都可以用来建造沙堡,但最好的沙子有两个特点:不同大小的沙粒和棱角分明或粗糙的沙粒。粒度的变化使得较小的沙粒能够填满大沙粒之间的空隙或孔隙。其结果是提高了砂的强度。更有棱角的沙粒,带有尖角,可以更好地结合在一起,使沙堡更坚固。这也是为什么一堆棱角分明的木块会堆在一起,而一堆大理石会到处乱堆的原因。令人惊讶的是,这也是为什么建造沙堡的最佳沙子通常不是在岛屿或海岸海滩上。更有棱角的沙粒通常在靠近山脉的地方发现,那里是它们的地质来源。这些沙粒的边缘还没有被风和水磨圆。专业的沙堡建造者甚至会进口河沙来建造他们的沙堡。最后,沙粒之间的距离越近,沙粒就越坚固。将湿砂压紧在一起,通过压实或捣固,将沙粒挤压在一起,减小孔隙的大小,增加水的作用。压实也增加了颗粒的联锁,因此,砂的强度。没有水,沙子只能堆成一堆。太多的水和沙子像液体一样流动。但是在干燥的沙子和饱和的沙子之间存在着很大的水分水平,这使得建造沙堡成为可能。水是有粘性的,这意味着水喜欢粘在水上。但水也会附着或爬上某些表面。看一杯半满的水,你会看到水从杯子里往上一点点。重力仍然保持着杯子里的水,但水正试图爬上来,弄湿杯子的表面。这种微小的权力斗争使沙堡成为可能。在空气和水相遇的地方,有表面张力。空气和水的界面向下拉,试图将水聚集在一起,以对抗表面湿润、凝聚力和重力的竞争力量。表面张力把水拉在一起,就像气球绷紧的皮肤。表面张力也会把沙粒拉在一起。如果杯子再细一些,像一根吸管,水就会升得更高,表面张力也会更大。稻草越窄,水就涨得越高。这种现象称为毛细血管现象。 水在湿沙中也是如此。沙粒之间的孔隙或空间就像一束非常小的吸管。水在颗粒之间形成了微小的桥梁。这些桥里的水处于张力之下,通过一种被我们岩土工程师称为吸力的力将颗粒拉在一起。沙子中的水量控制着水桥的大小和强度。水太少就等于沙粒之间的小桥。更多的水,桥的大小和数量增加,增加的吸力使沙粒聚集在一起。结果就是完美的沙堡沙。但水太多,吸力太弱,无法把沙子粘在一起。建造伟大沙堡的一般经验法则是:一份水对应八份干沙。然而,在实验室的理想条件下,稠密的沙子和零蒸发,一份水比一百份干燥的沙子可以产生奇迹。在海滩上,当退潮时,有合适湿度的沙子就在高潮线附近。顺便说一句,海水中的盐分对沙堡的稳定性也有好处。最初,毛细管力使沙粒聚集在一起,但毛细管水最终会蒸发,尤其是在大风天。当海水干涸时,就会留下盐。由于海水在颗粒之间形成桥梁,盐在这些接触点结晶。用这种方法,盐可以使沙堡在沙干后保持很长时间。但要小心,不要惊动盐砂;它是易碎可折叠的。建造一个坚固的沙堡,用紧实的沙子和一点点水尽可能地挤紧。我更喜欢创造一个密集的土堆,然后挖开,雕刻出里面的艺术。你也可以把沙子压成桶、杯子或其他模具,从头开始建造。只要确保沙子密集,并将模具放在一个紧凑的基础上。手是压实和雕刻的好工具,但用铲子或贝壳可以做得更精确。玩得开心点,别怕碰到桑迪!本文最初发表于The Conversation。阅读原文。
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